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21 833(5 /,0% $0387((6 

Deepam Yasvant Ambelal 

A dissertation submitted to the Faculty of Engineering and the Built Environment, 

8QLYHUVLW\ RI WKH :LWZDWHUVUDQG  -RKDQQHVEXUJ  LQ IXO¿OPHQW RI WKH UHTXLUHPHQWV 

for the degree of Master of Science in Engineering. 

Johannesburg, 2021



i 

 

'(&/$5$7,21 

I declare that this dissertation is my own unaided work. It is being submitted for a 

degree of Master of Science in Engineering at the University of the Witwatersrand, 

Johannesburg. It has not previously been submitted for any degree or examination 

to any other university. 

The financial assistance of the National Research Foundation (NRF) towards this 

research is hereby acknowledged. Opinions expressed and conclusions arrived at, 

are those of the author and are not necessarily to be attributed to the NRF 

 

 

Deepam Yasvant Ambelal  Date 

13 November 2021



ii 

 

$%675$&7 

Prosthetics are used to substitute for the missing limb sections to aid the amputee's 

mobility and quality of life. The shift towards electromyography (EMG) -controlled 

hand prosthetics from mechanical ones is to offer multiple movements or gestures. 

This transition in environments with electrically-powered devices results in the 

challenge of noise interference. Capacitively-coupled electromagnetic interference 

(CC-EMI) is the predominant noise source and it is found almost everywhere.  

An example scenario is an upper limb amputee person JUDVSLQJ D KRXVHKROG ODPS¶V 

cable with their non-amputated hand. EMI is expected to galvanically circulate 

through the body from the dipole source. Therefore, the suitable selection of the 

LQVWUXPHQWDWLRQ  DPSOLILHU¶V common mode rejection ratio (CMRR) is important. 

Limited literature shows it is possible to determine the EMI in the body using MRI 

scans-based FEM modelling, however, it is costly and time-consuming to process. 

Human body electric circuit models are used for high electrocution scenarios but 

are not applicable for the scenario. This research addresses the problem by 

modelling the hand-to-hand (H2H) region of the human body as an electric circuit, 

to determine the CC-EMI magnitude at the site of an EMG sensor. 

The model developed has three sub-models: The capacitive-coupling (CC) circuit 

model, the human body circuit model, and the EMI measurement circuit model. The 

circuit model for the CC between the power cable and the grasping hand was 

developed using COMSOL simulations. The measurement system circuit model is 

considered to be a pair of voltage followers with hydrogel electrode inputs. The 

human body model is the main model and the development was based on modifying 

the Freiberger human body model. The Freiberger model was modified into a ladder 



 

Page iii of xix 

 

network where the upper limb circuit path was split into two transverse paths using 

parallel resistor theory. Along with genetic algorithm optimization, impedances for 

the multiple loops were obtained between the two hands in order to mimic galvanic 

circulation and its paths. 

The model was applied for the scenario using 18 healthy, un-amputated participants 

grasping an insulated, flat, two-core power cable for a lamp in a controlled 

environment. The experiment evaluated four cases which covered the combinations 

of using each hand to grasp the cable and two rotational orientations of the cable in 

the grasp. The average error across all participants for modelling the four cases was 

27.4 %. The lowest average error achieved for a single participant was 9.6 %. The 

error magnitudes were considered acceptable because it was achieved using more 

accessible equipment than using MRI scans-based FEM modelling.  

Validation was conducted with a lightly modified scenario and confirms that 

alternate scenarios can be simulated for the same participant by modifications to 

the sensor position and/or the CC sub-model. Thus the CMRR can be determined 

from the EMI evaluations of multiple scenarios. 

 



iv 

 

$&.12:/('*(0(176 

The author would like to acknowledge with gratitude the support rendered by both 

Dr M.V. Shuma-Iwisi and Mr A.K. Mohamed. The author would also like to 

express gratitude to the National Research Foundation (NRF) for support funding 

through the Grantholder-Linked Student Support Programme.  



v 

 

&217(176 

Declaration ............................................................................................................... i 

Abstract ................................................................................................................... ii 

Acknowledgements ................................................................................................ iv 

List of Figures ......................................................................................................... x 

List of Tables......................................................................................................... xv 

Nomenclature ..................................................................................................... xviii 

Chapter 1  Introduction ....................................................................................... 1 

  Context to Research Carried Out .............................................................. 2 

  Electromyography .................................................................................... 2 

  Noise in EMG Sensors ............................................................................. 3 

  Electromagnetic Interference (EMI) noise ............................................... 4 

1.4.1.  Capacitively-Coupled Electromagnetic Interference (CC-EMI) ...... 4 

  Problem Identification .............................................................................. 6 

1.5.1.  Model Requirements ......................................................................... 7 

1.5.2.  Research Question ............................................................................. 9 

1.5.3.  Research Contributions ................................................................... 10 

  Chapter Summary ................................................................................... 11 



 

Page vi of xix 

 

Chapter 2  Human Body Electric Circuit Models & Human Tissue Electrical 

Characteristics ....................................................................................................... 13 

  Galvanic Circulation ............................................................................... 13 

2.1.1.  Discussion ....................................................................................... 15 

  Human Body Impedance ........................................................................ 16 

2.2.1.  Freiberger Human Body Model [35] .............................................. 17 

2.2.2.  Discussion ....................................................................................... 19 

  Electrical Properties of Human Tissue ................................................... 20 

2.3.1.  Assumptions .................................................................................... 21 

  Chapter Summary ................................................................................... 21 

Chapter 3  Proposed Model .............................................................................. 22 

  Capacitive-Coupling Source Model ....................................................... 22 

3.1.1.  Conceptualising the Electric Field on the grasped Type P3 cable .. 23 

3.1.2.  Modelling Capacitance on a grasped, flat power cable................... 24 

3.1.3.  Capacitance on a Grasped Flat Power Cable: COMSOL modelling

 25 

3.1.4.  Discussion ....................................................................................... 28 

  Development of the Human Body Circuit Model .................................. 29 

3.2.1.  Modification 1: Modifying Percentages of the Hand-To-Hand 

Impedance ..................................................................................................... 29 

3.2.2.  Modification 2: Reducing original Model Scope to Hand-to-hand 

Model 30 

3.2.3.  Modification 3: Introducing the 2nd Pathway using Parallel-Resistor 

Theory 32 



 

Page vii of xix 

 

3.2.4.  Modification 4: Introducing Inter-Pathway Resistances for Multiple 

Galvanic Flow Paths and H2H Capacitance ................................................. 32 

3.2.5.  Modification 5: Dividing Bicep area of Upper Arm for placement of 

Bipolar electrode nodes ................................................................................. 35 

3.2.6.  Discussion ....................................................................................... 37 

  Chapter Summary ................................................................................... 38 

Chapter 4  Experimentation & Results ............................................................. 39 

  Experimental Environment and Component Design .............................. 39 

4.1.1.  Environment Setup .......................................................................... 40 

4.1.2.  Measurement System ...................................................................... 43 

  Experiment Procedure ............................................................................ 48 

4.2.1.  Preparation ...................................................................................... 48 

4.2.2.  Participant Parameter measurements .............................................. 48 

4.2.3.  Experiment ...................................................................................... 51 

4.2.4.  Discussion ....................................................................................... 55 

  Results .................................................................................................... 56 

4.3.1.  Participant Parameter Measurements .............................................. 56 

4.3.2.  Experiment Measurements .............................................................. 57 

4.3.3.  Experiment Data Analysis............................................................... 65 

4.3.4.  Experiment Discussion.................................................................... 69 

  Chapter Summary ................................................................................... 70 

Chapter 5  Model Assembly and Optimization ................................................ 72 

  Unified Model of Experiment ................................................................ 72 



 

Page viii of xix 

 

  Model Optimisation Results and Error Calculations .............................. 75 

5.2.1.  µ1DWXUDOO\ 6HOHFWHG¶ 3DUDPHWHUV Z, Y, X, W and V Combinations ... 76 

5.2.2.  Averaged Output Voltages with Relative Error .............................. 78 

5.2.3.  V(Out_A) ± V(Out_B) Magnitude Comparison ............................... 80 

5.2.4.  Discussion ....................................................................................... 81 

  Chapter Summary ................................................................................... 81 

Chapter 6  Model Validation and Critical Analysis .......................................... 83 

  Model Validation .................................................................................... 83 

6.1.1.  Validation Experiment .................................................................... 84 

6.1.2.  Validation Experiment Results ....................................................... 86 

6.1.3.  Validation Experiment Data Analysis ............................................. 87 

6.1.4.  Validation Model ............................................................................ 88 

6.1.5.  Simulated Results of Validation Model .......................................... 91 

6.1.6.  Discussion ....................................................................................... 91 

  Critical Analysis ..................................................................................... 93 

6.2.1.  Successes ......................................................................................... 93 

6.2.2.  Failures ............................................................................................ 93 

6.2.3.  Satisfying Problem Statement ......................................................... 94 

6.2.4.  Research Contributions ................................................................... 95 

  Chapter Summary ................................................................................... 96 

Chapter 7  Future Works and Conclusion ......................................................... 97 

  Possible Improvements and Future Works ............................................. 98 



 

Page ix of xix 

 

7.1.1.  Experiment ...................................................................................... 99 

7.1.2.  Model Development ...................................................................... 100 

  Chapter Conclusion .............................................................................. 100 

References ........................................................................................................... 101 

Appendix A ± Circuit Figures of Unified Model ................................................ 106 

Appendix B ± Application Sample of Genetic Algorithm ± Participant A ......... 111 

Appendix C - Determining Inter-Pathway Resistances using Genetic Algorithm

 ............................................................................................................................. 119 

7.2.1.  Model Amendments ...................................................................... 120 

7.2.2.  Genetic Algorithm Pseudo-Code .................................................. 121 

7.2.3.  Applying the Genetic Algorithm ................................................... 125 

 



x 

 

/,67 2) ),*85(6 

Figure 1 ± Electrostatic Coupling between the Overhead Cables and EMG system. A) 

Describes the inherent electric field coupling between the EMG electrode wires and 

overhead power cables. B) Describes the parasitic capacitances that exist between the 

subject, electrode wires and power cables. ......................................................................... 5 

Figure 2 ± Electrostatic Coupling between Powered Cables and the subject describing the 

inherent electric field coupling between the subject and power cables. Electric field 

direction indicates the positive half cycle. The negative half cycle will reverse the field 

direction. ............................................................................................................................. 6 

Figure 3 ± Describing the parasitic capacitances that exist between the subject and 

appliance or electrical component chassis. ......................................................................... 6 

Figure 4 ± Electrostatic Coupling between Powered Cables and the Amputee subject. The 

VXEMHFW LV JUDVSLQJ D ODPS¶V LQVXODWHG SRZHU FDEOH ZLWK WKHLU XQ DPSXWDWHG KDQG  7KH IORZ 

of EMI induced current conducting through the body is indicated with orange dashed lines 

 DUURZV¶  SRLQWLQJ  GLUHFWLRQ  LV  DUELWUDU\    7KH  QHJDWLYH  KDOI  F\FOH  ZLOO  UHYHUse the field 

direction. ............................................................................................................................. 7 

Figure 5 ± Intra-body signal propagation through the fore-arm. A simplified view of the 

fore-arm with three tissue-layered skin (i.e. skin, muscle and bone). ............................... 14 

Figure 6 ± Intra-body signal propagation through the fore-arm - Current flow paths for 

galvanic coupling, where primary current flow (shown in green arrows) do not affect 

receiver signal and the secondary current flow is the current that induces a potential 

difference across the receiver electrodes(shown in blue arrows). ZT1 represents the 

LPSHGDQFH RI WKH SULPDU\ ÀRZ SDWK  =L1 and ZL2 refer to the impedance of the longitudinal 

IRUZDUG DQG UHWXUQ SDWK RI  WKH VHFRQGDU\ ÀRZ  UHVSHFWLYHO\  =T2 refers to the transverse 



 

Page xi of xix 

 

SDWK RI WKH VHFRQGDU\ ÀRZ DQG l is the distance between transmitter and receiver electrode 

pairs. .................................................................................................................................. 15 

Figure 7 ± Total body impedance as a function of applied voltage for various contact areas; 

dry hand-to-hand electrodes measured by Beigelmeier [44]. The image was extracted from 

Reilly [47] and the various curves illustrated are identified by the contact area on each hand.

 .......................................................................................................................................... 16 

Figure 8 ± Internal Partial Impedances of the Human body. The numbers indicate the 

percentage of the internal impedance of the human body for the part of the body concerned, 

LQ SURSRUWLRQ WR WKH µKDQG-to-IRRW¶ path. (Red arrows indicate skin impedances from the top 

layer to the nodes in the body).  ........................................................................................ 18 

Figure 9 ± Hand grasping a flat power cable, with cable in the cross-sectional view. Blue 

and brown circles indicates insulation around the neutral and live wire, respectively. 

Human fist outline adapted from Wikimedia Commons [52]. .......................................... 23 

Figure 10 ± Simulated Electric Potential of a flat power cable with a floating potential 

boundary surrounding sheath. The legend indicates the arrow potentials in V/m. Live and 

neutral conductors are on the right and the left, respectively. .......................................... 24 

Figure 11 ± Segmenting Cross-section of type flat power cable into three capacitance 

regions ............................................................................................................................... 24 

Figure 12 ± Simplified current paths in a cross-section of a flat power cable .................. 25 

Figure 13 ± Simulated Capacitance C1 and Calculated Capacitances C2 and C3 for Various 

Hand Widths Between 50 mm And 120 mm .................................................................... 27 

Figure 14 ± Capacitive-Coupling Model, where magnitudes of C2 and C3 are determined 

using Equation (4) ............................................................................................................. 28 

Figure 15 ± Original Freiberger Model with human body outline. ................................... 31 

Figure 16 ± Hand-to-hand Section of Freiberger Model ................................................... 31 

Figure 17 ± Modification 2 of Hand-to-hand Human Body Impedance Model ................ 32 

Figure 18 ± Modification 3 of Hand-to-hand Human Body Impedance Model ................ 33 



 

Page xii of xix 

 

Figure 19 ± Network of two series capacitors in parallel to another two series capacitors 

 /DEHOOLQJ LV XQUHODWHG WR WKH +XPDQ %RG\ FLUFXLW PRGHO¶V HOHPHQW QXPEHULQJ   ........... 35 

Figure 20 ± Modification 5 of Hand-to-Hand Human Body Circuit Model ..................... 36 

Figure 21 ± View of Anechoic Chamber from the entrance ............................................. 40 

Figure 22 ± Sample measurement of the 230 Vrms power supply found in the Anechoic 

Chamber ............................................................................................................................ 41 

Figure 23 ± FFT of Sample measurement of the 230Vrms power supply found in the 

Anechoic Chamber ............................................................................................................ 41 

Figure 24 - Orientation of electrical connections to the lamp. .......................................... 42 

Figure 25 - High-level System Diagram of sensor employed ........................................... 43 

Figure 26 ± EMI Measurement System Circuit Model. VCC and VEE are powered by the 

lithium batteries ................................................................................................................ 46 

Figure 27 ± Virtual Op-Amp Settings ............................................................................... 46 

Figure 28 ± PCB design for the Measurement sensor ....................................................... 47 

Figure 29 ± Pre-Experiment measurements of Body Parameter  A) Measurement of 

placement of the electrodes (marked with blue dots) and arms span. Human body outline 

adapted from Clker-Free-Vector-Images [29]. B) Measurement region of hand width. Palm 

image was available through Creative Commons Licence [61] ........................................ 49 

Figure 30 ± Hand-to-hand Impedance measurement setup. A Type P3 (2 × 0.75mm) cable 

was wrapped with copper tape on its end. The brown wire was connected to the copper 

plate on the left to the red node of the LCR meter. The black node was connected to the 

right copper plate with a jumper wire. .............................................................................. 50 

Figure 31 ± Grasping the Hand-to-hand Impedance measurement setup ......................... 51 

Figure 32 ± Simplified setup for the experiment in the Anechoic Chamber. Participant does 

not hold any surfaces during baseline measurements. Figure of person was available 

through Creative Commons Licence [63] ......................................................................... 52 



 

Page xiii of xix 

 

Figure 33 ± Two cases of the main experiment where the cable has are in two different 

rotational orientation in the hand. Note that the experiment had the thumb was placed on 

the cable for a more natural grip. Figure of fist was adapted through Creative Commons 

Licence [64] ...................................................................................................................... 53 

Figure 34 ± Simplified setup for the Case 1 and Case 2 experiment in the Anechoic 

Chamber. Figure of person was available through Creative Commons Licence [63] ...... 54 

Figure 35 ± Simplified setup for the Case 3 and Case 4 experiment in the Anechoic 

Chamber. Figure of person was available through Creative Commons Licence [63] ...... 55 

Figure 36 ± Two cases of the validation experiment where the cable has are in two different 

rotational orientation in the hand. Note that the experiment had the thumb was placed on 

the cable for a more natural grip vii. .................................................................................. 55 

Figure 37 ± Baseline Measurements of Participant C. Measurements taken from the 

Voltage Follower Outputs for Electrode A and B; and Plug point source with 20:1 Step 

Down Transformer. ........................................................................................................... 62 

Figure 38 ± Case 1 Measurement of Participant C. Measurements taken from the Voltage 

Follower Outputs for Electrode A and B; and Plug point source with 20:1 Step Down 

Transformer....................................................................................................................... 62 

Figure 39 ± Case 2 Measurements of Participant C. Measurements taken from the Voltage 

Follower Outputs for Electrode A and B; and Plug point source with 20:1 Step Down 

Transformer....................................................................................................................... 63 

Figure 40 ± Case 3 Measurements of Participant C. Measurements taken from the Voltage 

Follower Outputs for Electrode A and B; and Plug point source with 20:1 Step Down 

Transformer....................................................................................................................... 64 

Figure 41 ± Case 4 Measurements of Participant C. Measurements taken from the Voltage 

Follower Outputs for Electrode A and B; and Plug point source with 20:1 Step Down 

Transformer....................................................................................................................... 64 

Figure 42 ± Box and Whisker Diagram of Averaged Voltage Follower Output Voltages, 

Baseline Offset Removed, for all Four Cases. .................................................................. 68 



 

Page xiv of xix 

 

Figure 43 ± Unified Model of Experiment, with the Noise Source connection shown in 

Figure 43 ........................................................................................................................... 73 

Figure 44 ± Noise Source Connection Diagram for the Four Different Cases.    A) Case 1, 

B) Case 2, C) Case3, and D) Case 4 ................................................................................. 74 

Figure 46 ± Box-and-Whisker diagram describing the clustering of relative error data 

shown in Table 21 for the four different cases. ................................................................. 80 

Figure 47 ± Noise Source Connection Diagram for the Four Different Cases.    A) Case 1, 

B) Case 2, C) Case3, and D) Case 4 ................................................................................. 89 

Figure 48 ± Unified Model of Validation Experiment, with the Noise Source connection 

shown in Figure 45 ............................................................................................................ 90 

Figure 49 ± Comparison of V(Out_A) ± V(Out_B)  against Z Values used in Parameter 

Optimization for Case 1 and Case 2, for Participant A ± Generation 1 .......................... 113 

Figure 50 ± Comparison of V(Out_A) ± V(Out_B) against Z Values used in Parameter 

Optimization for Case 3 and Case 4, for Participant B ± Generation 1 .......................... 113 

Figure 45 ± Flowchart of the Pseudo-code for the desired Genetic Algorithm [66] ....... 122 

 

 



xv 

 

/,67 2) 7$%/(6  

Table 1 ± List of Internal Partial Impedances Percentages of the Human body, in Proportion 

WR WKH µ+DQG-to-)RRW¶ 3DWK ................................................................................................ 19 

Table 2 ± Permittivity and Conductivity Values for Human Body Tissue at 50 Hz and 200 

Hz [50], ............................................................................................................................. 21 

Table 3 ± Simulated Capacitances for Various Hand widths between 50 mm and 120 mm

 .......................................................................................................................................... 26 

Table 4 ± Error on Capacitance values obtained with Linear Relationship equations (3) and 

(4) ...................................................................................................................................... 28 

Table 5 ± Factor adjusted percentages of Body Areas mentioned in Freiberger Model to 

result in a 100% Hand-to-Hand Impedance ...................................................................... 30 

Table 6 ± Defining the Regions for UArmA, UArmAB and UArmB .............................. 37 

Table 7 ±Percentages of Body Segment Impedances after Modification 4 ...................... 38 

Table 8 ± Specific Requirements for flat, two-core cable ................................................. 42 

Table 9 ± Comparison of various Op-Amps Characteristics. Green fill indicates Best 

Performance and Orange fill indicates Poorest Performance ........................................... 45 

Table 10 ± Ranges of Non-Amputee Participant sample set ............................................. 56 

Table 11 ± Participant Parameter Measurements recorded off Non-Amputee Participants

 .......................................................................................................................................... 57 



 

Page xvi of xix 

 

Table 12 ± Condensed Table of Non-Amputee Baseline Measurements for Main 

Experiment ........................................................................................................................ 59 

Table 13 ± Condensed Table of Non-Amputee Case 1 and Case 2  Main Measurements of 

the Experiment. ................................................................................................................. 59 

Table 14 ± Condensed Table of Non-Amputee Case 3 and Case 4 Validation Measurements 

of the Experiment. ............................................................................................................. 60 

Table 15 ±  Participant &¶V Parameter Measurements recorded from (sourced from Table 

11). .................................................................................................................................... 60 

Table 16 ± Summary of Measurements Recorded from Participant C ............................. 61 

Table 17 ± Analysis of Output Voltages Difference between  Electrodes for all Four Cases

 .......................................................................................................................................... 66 

Table 18 ± Averaged Output Voltages between  Electrodes for all Four Cases ............... 67 

Table 19 ± Analysis of Averaged Voltage Follower Output Voltages, Baseline Offset 

Removed, for all Four Cases. Shaded Values indicate a less than ±5% difference between 

the median and average measurements ............................................................................. 67 

Table 20 ± 3DUWLFLSDQW 3DUDPHWHUV DQG WKH¶ 1DWXUDOO\ 6HOHFWHG¶ 3DUDPHWHUV Z, Y, X, W and 

V ........................................................................................................................................ 77 

Table 21 ± Comparison and Error Calculation of Averaged Output Voltages between 

Experiment and Simulation ............................................................................................... 79 

Table 22 ± Comparison of ܸሺݐݑ݌݊ܫ̴ܣܫ൅ሻ Ȃ  ܸሺݐݑ݌݊ܫ̴ܣܫെሻ between from the Experiment 

and the Simulation measurements..................................................................................... 81 

Table 23 ± Clustering of Parameters Z, Y, X, W and V in Participants ............................. 84 

Table 24 ± Participant Parameter Measurements recorded off Non-Amputee Participants

 .......................................................................................................................................... 86 

Table 25 ± Condensed Table of Non-Amputee Baseline Measurements for Validation 

Experiment ........................................................................................................................ 86 



 

Page xvii of xix 

 

Table 26 ± Condensed Table of Non-Amputee Case 1 and Case 2  Measurements for 

Validation Experiment ...................................................................................................... 87 

Table 27 ± Condensed Table of Non-Amputee Case 3 and Case 4 Measurements for 

Validation Experiment ...................................................................................................... 87 

Table 28 ± Validation Experiment: Averaged Output Voltages between Electrodes for all 

Four Cases ......................................................................................................................... 87 

Table 29 ± Validation Experiment: Analysis of Averaged Voltage Follower Output 

Voltages, Baseline Offset Removed, for all Four Cases. .................................................. 88 

Table 30 ± Comparison and Error Calculation of Averaged Output Voltages between 

Validation Experiment and Simulation ............................................................................. 92 

Table 31 ± Extract of Table 21: Comparison and Error Calculation of Averaged Output 

Voltages between Experiment and Simulation ................................................................. 92 

Table 30 ± Desired Average Output voltages that the Model needs to Optimize to (values 

obtained from Table 19) .................................................................................................. 112 

Table 31 ± *HQHUDWLRQ   í 7RS    &RPELQDWLRQV RI 9DULDEOHV Z, Y and X that produced 

Lowest Relative Error for Main Experiment and meet Natural selection requirements. 114 

Table 32 ± *HQHUDWLRQ   í 7RS    Combinations of Variables Z, Y and X that produced 

Lowest Relative Error for Validation Experiment and meet Natural selection requirements

 ........................................................................................................................................ 115 

Table 33 ± *HQHUDWLRQ   í 7RS    &RPELQDWLRQV RI 9DULDEOHV Z, Y and X that produced 

Lowest Relative Error for Main Experiment and meet Natural selection requirements. 116 

Table 34 ± *HQHUDWLRQ   í 7RS    &RPELQDWLRQV RI 9DULDEOHV Z, Y and X that produced 

Lowest Relative Error for Validation Experiment and meet Natural selection requirements

 ........................................................................................................................................ 117 



xviii 

 

120(1&/$785( 

AC  Alternating Current 

CAD  Computer-Aided Design 

CC  Capacitively-Coupled 

CC-EMI Capacitively-Coupled Electromagnetic Interference 

CMR   Common Mode Rejection 

CMRR  Common Mode Rejection Ratio 

DB board  Distribution Box Board 

DC  Direct Current 

DSP  Digital Signal Processing 

EMG   Electromyography 

EMI   Electromagnetic Interference 

FEM  Finite Element Modelling 

H2H  Hand-to-Hand 

HREC   Human Research Ethics Council 

HV  High Voltage 

IEC  International Electrotechnical Commission 

LCR  Inductor, Capacitor, Resistor 

MRI  Magnetic Resonance Imaging 

MU  Motor Units 



 

Page xix of xix 

 

MUAP  Motor Unit Action Potential 

Op-amp Operational Amplifier 

PCB  Printed Circuit Board 

PVC  Poly-Vinyl Chloride 

SOIC  Small outline integrated circuit  

SNR  Signal-to-Noise Ratio 

SPICE   Simulation Program with Integrated Circuit Emphasis 

 



 

Page 1 of 113 

 

Chapter 1  

,1752'8&7,21 

Surface Electromyography (EMG) is a common, non-invasive medical procedure 

used to record muscle signals for prosthetic devices. The sensor used in this 

procedure can easily amplify millivolt signals but have the disadvantage of being 

corrupted by a variety of external electrical signals [1]. Electromagnetic 

Interference (EMI) at power-line frequency is known to be particularly 

troublesome. In literature, there are several techniques used to deal with EMI, such 

as Common Mode Rejection (CMR) [2], active and passive shielding [3]±[5], 

analogue filters [6] [7], and Digital Signal Processing (DSP) techniques [8]±[16].  

Most EMG sensors use Instrumentation Amplifiers (IA) to provide CMR of EMI. 

They are recommended to have a Common Mode Rejection Ratio (CMRR) greater 

WKDQ    G% DQG UHVXOW LQ D QRLVH IORRU RI   ȝ9RMS in the 20 Hz and 500 Hz frequency 

band [17]. However, one can only confidently specify a CMRR if the actual 

magnitude of the EMI is known. To determine this EMI at the input positions of the 

EMG sensors, empirical data and/or model projection of the current induced by 

EMI flowing through the body, from the source to the sensor inputs, is required.  

Finite Element Modelling (FEM) methods can provide this information, but at the 

cost of accessibility and time, which is unfeasible for evaluating multiple people 

and/or scenarios [18] [19]. More accessible methods that can model EMI 



 

Page 2 of 113 

 

magnitudes as it propagates through the body and the resulting interference at the 

site of EMG measurement are unknown. 

 Context to Research Carried Out 

A missing limb or a loss of a limb can occur congenitally or from the amputation 

of a severely diseased, injured or dysfunctional limb [20], [21]. This limb loss can 

affect the amputee's mobility, psychological well-being, quality of life, 

socialization, and employability [20]. Prosthetics are used to substitute for the 

missing limb section. Most mechanical prosthetics have one degree of freedom 

which results in limited movement capabilities. Over the past decade, there has been 

a shift towards EMG-controlled hand prosthetics from mechanical ones. This shift 

is because EMG-controlled prosthetic hand offer multiple movements or gesture 

control through the use of multiple EMG inputs and modern control systems.  

 Electromyography 

EMG, defined by De Luca [17]   ³is the discipline that deals with the detection, 

analysis and use of the electrical signals that emanate from contracting muscles´  

However, this term refers to the act of achieving a graphical representation of the 

signal, which was more prevalent before the computer age. With the ability to store 

data digitally, the more appropriate term to define electrical signals emanating from 

PXVFOHV LV µm\RHOHFWULF¶ VLJQDOV  WKRXJK WKH WHUP (0* LV VWLOO FRPPRnly used [22]. 

The current flow generated by the ionic chemical flow across the muscle fibres¶ 

membranes is the source of EMG signals. The chemical changes result in the 

contractions of muscle fibres and depends on the degree of stimulation. Muscle 

fibres are grouped into Motor Units (MU) and share a common motor neuron. The 

pulse voltages produced by the MUs are called Motor Unit Action Potentials 

(MUAP). These are the most basic signal component into which an EMG signal 

can be separated into. 



 

Page 3 of 113 

 

The frequency of EMG signals ranges between 2 Hz and 500 Hz [23] and the 

dominant frequencies are between 20 Hz and 150 Hz, depending on the 08¶V 

density, the stimulation intensity and/or the stimulation duration [1], [24]. Smaller 

muscle like the Flexor Carpi Radialis (the muscle that controls the wrist) mainly 

emits signals at lower frequencies at 55 Hz ± 95 Hz due to smaller set of MU. Larger 

muscle like the Biceps Femoris mainly emits higher frequencies at 155 Hz ± 195 Hz 

because of a larger set of MU [25]. The myoelectric voltages are known to range 

between 10 ȝ9  DQG     P9, however, it is expected that maximum myoelectric 

voltage for amputated muscles to not peak above 1 mV because a portion of the 

MU has been lost or shortened [24], [26]. Additionally, intensive muscle 

stimulation over long durations UHVXOWV LQ D UHGXFWLRQ LQ WKH PXVFOH¶V FKDUDFWHULVWLF 

frequencies and amplitude because the muscle fibres become fatigued. This is 

called muscle fatigue [1].  

The overlap in the characteristic muscle frequency and the frequency of various 

electrical noise sources in the EMG measurement of amputated and/fatigued 

muscles may lead to the poor performance of an EMG-controlled prosthetic. 

 Noise in EMG Sensors 

Due to the small amplitude nature of EMG signals and a characteristic frequency 

range of a few hundred Hz, the EMG sensors are required to be sensitive to changes 

in signal voltages across the required frequency range.  

The use of EMG-controlled prosthetics in environments populated by electrically 

powered devices such as domestic homes and offices results in the challenge of 

noise interference. Several noise sources are present in the EMG characteristic 

frequency range of 10 Hz to 1 000 Hz, which deform or drown the EMG signal 

measurements. These noise sources are: 

x Electrode Noise,  

x Movement Artefact Noise,  

x Electromagnetic Interference (EMI) Noise,  



 

Page 4 of 113 

 

x Cross-Talk Noise, and  

x Internal Noise.  

Clancy et. al. [27], extensively reviews the above-mentioned noises. EMI is the 

most common source of noise in EMG measurements, and it is found almost 

everywhere. 

 Electromagnetic Interference (EMI) noise 

Electrified spaces, such as homes and offices, contain wired electrical equipment. 

Current flowing through cables generates electromagnetic waves which are 

regarded as EMI. Continuous EMI noise sources in the EMG frequency bandwidth 

below 1 kHz are from the powerlines (at 50/60 Hz), power supplies and their 

associated harmonics. Impulse EMI noise sources can be from switching of heavy 

load appliances, electrostatic discharges and lightning. The human body is largely 

a conductive composite, and the EMI noise can either be capacitively or inductively 

coupled to the human body [27]. Inductively coupled EMI is taken care of by using 

shielding techniques but increases the exposure to Capacitively-Coupled (CC) EMI 

[3]±[5]. 

1.4.1. Capacitively-Coupled Electromagnetic Interference (CC-

EMI)  

CC involves charge movement from higher electrostatic potential surfaces to lower 

potential surfaces. Figure 1 A show a diagram of an individual, attached to EMG 

sensor probes, standing between an overhead powerline and a ground plane. The 

gaps between the two different levels of potentials are parasitic capacitances and 

result in stray charge flows from the powered cables to objects as shown in Figure 

1 B [27] [28]. These potentials make the external environment influence the 

outcome of the EMG measurement.  



 

Page 5 of 113 

 

 

Figure 1 ± Electrostatic Coupling between the Overhead Cables and EMG system. A) Describes the inherent 

electric field coupling between the EMG electrode wires and overhead power cables. B) Describes the 

parasitic capacitances that exist between the subject, electrode wires and power cables.  

In Figure 1 B the individual is in a uniform electric field. In environments that may 

be experienced by an amputee equipped with an EMG-controlled prosthetic, the 

EMI is influenced by powered appliances and equipment (like electric stoves and 

fridges), active electrical components (like power cords, extensions and wall 

switches), and non-grounded metallic surfaces (like metal frame tables) [31]. This 

results in a non-uniform electric field unlike in the uniform electric fields shown in 

Figure 1 A and B. 

The location of the largest concentration of stray electric fields is expected to radiate 

close to the source. As seen in Figure 2, where the subject¶s hand is in proximity to 

the appliance chassis or electrical component surface, the hand will provide a better 

conduction medium, than air. A return path for the high potential electric field from 

the live wire back to the neutral wire is established. Instead of parasitic capacitance 

occurring across the air as shown in Figure 1 B, the capacitance is across the cable 

insulation as shown in Figure 3. The contacts made by the hand results in a dipole 

interaction and a potential difference develops between the areas of the hand that 

are nearest to the live and neutral wires which would attribute to the EMI induced 

current circulating through the body.  



 

Page 6 of 113 

 

 

Figure 2 ± Electrostatic Coupling between Powered Cables and the subject describing the inherent electric 

field coupling between the subject and power cables. Electric field direction indicates the positive half cycle. 

The negative half cycle will reverse the field direction. 

 

Figure 3 ± Describing the parasitic capacitances that exist between the subject and appliance or electrical 

component chassis. 

 Problem Identification 

Modifying the interaction found in Figure 2 and Figure 3 to the potentially common 

scenario with an amputee person.  As shown in Figure 4, the subject has an EMG 



 

Page 7 of 113 

 

sensor on the bicep of the amputated arm. The amputee would use their non-

DPSXWDWHG KDQG IRU JUDVSLQJ D KRXVHKROG ODPS¶V SRZHU FDEOH  It is expected that 

the current induced by EMI will be conducted through the body, from the un-

amputated hand to the EMG sensor on the amputated arm. Therefore, a suitable 

selection of an IA with an appropriate CMRR is important. However, there is 

limited literature on the human body interacting with a dipole EMI source. 

The conduction from the un-amputated hand to the EMG sensor is similar to the 

galvanic circulation experiment conducted by Wegmüller [32]. Galvanic circulation 

is expected to occur in the body, where the flow will begin from the grasping hand, 

through the torso, to the bicep-placed sensor on the amputated arm, and back to the 

grasping hand. This is shown by the orange arrows in Figure 4. 

 

Figure 4 ± Electrostatic Coupling between Powered Cables and the Amputee subject. The subject is grasping 

D ODPS¶V LQVXODWHG SRZHU FDEOH ZLWK WKHLU XQ DPSXWDWHG KDQG  The flow of EMI induced current conducting 

through the body is indicated with orange GDVKHG OLQHV  DUURZV¶ SRLQWLQJ GLUHFWLRQ LV DUELWUDU\   7KH QHJDWLYH 

half cycle will reverse the field direction. 

1.5.1. Model Requirements 

The EMI measurements at various EMG electrode positions on the human body are 

simple voltage measurements, often using buffer amplifiers to separate the subject 



 

Page 8 of 113 

 

from bench-powered oscilloscopes [31]. There are many different possibilities 

involving a subject interacting with EMI sources in a household or office 

environment and many more unique human body compositions. Therefore, a base 

model that can be adjusted for the various possibilities DQG  WKH VXEMHFW¶V XQLTXH 

parameters can be developed to determine the potential range of EMI magnitudes 

that an IA must account for. The ability to model copious quantities of possibilities 

with reasonable accuracy would reduce the accumulated experimentation time and 

resources.  

Modelling the EMI due to grasping of the power cable as shown in Figure 4 requires 

two types of sub-models: 

1. sub-model of the capacitive coupling between the source and the surface of 

the hand, and  

2. sub-model of the electrical current flow pathways in the human body from 

the grasping hand to the EMG sensor 

The EMI source, being a two-core power cable, is a dipole because the electrostatic 

potential will propagate from the live wire to the neutral wire, which is tethered to 

the ground in the DB board. Modelling CC can be done using a physics-based 

simulator, like ³COMSOL 0HWDSK\VLFV´.  

The human body model will need sufficient parameters to uniquely describe the 

subject. Enough nodes are also needed to distinguish between the positions of the 

(0* VHQVRU¶V inputs and the CC interception points. Since the body interacts with 

a dipole, the EMI will galvanically circulate through the body, similarly to the 

experiment conducted by Wegmüller [32]. The circulation will begin from the 

grasping hand, through the torso, to the sensor on the amputated arm where the 

sensor is placed on the bicep, and back to the grasping hand.  

Modelling the human body electrical pathways often occurs in two ways. The first 

uses FEM to model the subject and the second uses electric circuit models.  



 

Page 9 of 113 

 

Finite Element Modelling (FEM) 

FEM GLYLGHV WKH KXPDQ ERG\¶V WKUHH-dimensional volume into small blocks with a 

certain characteristic or property [18]. FEM models can be constructed from CAD 

models or MRI scans. MRI scans have the benefit of being true representations of 

the subject however the model generated is not deformable. CAD models, being 

inherently deformable, allows the model to perform a motion or a gesture.  

Though FEM models may produce high-resolution data, the use of MRI as a source 

of data has several shortcomings. MRIs are expensive to run and take a long time 

to acquire complete data [19]. Highly detailed or high-resolution models also 

require high-performance computing hardware to process the circuit analysis which 

adds to the processing cost. Open-Source models are available online from several 

sources; however, most models require procurement [18].  

Electric Circuit Human Body modelling 

The second method is to model the human body as an electric circuit which is 

simpler and easier to compute. These models are often used to simulate the HV 

electrocution of subjects due to lightning or coupling to HV power lines, but they 

have not yet been implemented for EMG measurements. The circuit model can also 

be adjusted for different scenarios as well as specific human body parameters. 

1.5.2. Research Question 

As explained before, electrically modelling multiple human bodies using circuit 

models is more viable to practice than using FEM due to accessibility reasons. The 

unavailability of a human body electric circuit model to model dipole-sourced EMI 

in EMG-sensors, lead to the following research question:  

³:KDW is the human body electric circuit model for the prediction of EMI due to a 

dipole capacitively-FRXSOHG VRXUFH  JLYHQ WKH IROORZLQJ FRQGLWLRQV"´ 



 

Page 10 of 113 

 

x The subjects are non-amputees that have right-handed dominancy, 

x The EMI sensor is placed RQ WKH ULJKW DUP¶V ELFHS RI WKH VXEMHFW  

x The subjects are grasping a flat, two-core power cable used for lamp 

applications, to induce EMI currents in the body 

x The lamp will be powered by 230 VRMS (330 VPeak), 50 Hz, and 

x The subjects are measured in a controlled environment. 

Constraints 

The limited accessibility to research participants resulted in the following 

constraints: 

x No access to amputee subjects. Therefore, modelling of non-amputee 

subjects was carried out, and 

x No dominant left-handed subjects were evaluated due to their low 

prevalence. Therefore, modelling was conducted only on dominant right-

handed participants. 

1.5.3. Research Contributions 

The objective of this research is to develop a model that can determine the noise 

voltages induced by EMI, at the inputs of the EMG sensor that are placed on the 

upper limb, using empirical data. This model would be used to predict the voltages 

induced by the EMI for an alternate but similar scenario. By achieving this 

objective, some contributions made to this field of research are: 

x Possible utilization or modification of the existing electric circuit model of 

the human body. 

x Providing an experiment method which can be used to examine the flow of 

EMI interference that is due to near-field or capacitive coupling with 

sources. This method was demonstrated for the events where WKH VXEMHFW¶V 

measurements are not ground or common-node referenced to a non-foot 

region of the human body.  



 

Page 11 of 113 

 

x Results of the experiment may provide useful empirical data to determine 

the required CMRR specification for the sensor. Usually this is 

approximaWHG (0, QRLVH ³URRI´ YDOXH. 

x Likewise, to the empirical EMI measurements, CMRR can be determined 

using the model projections of scenarios similar to the base scenario. 

 Chapter Summary 

This chapter has introduced the possibility of problems due to the impact of CC-

EMI on EMG-controlled prosthetics. Upper limb amputees seek these EMG-

controlled prosthetics to regain mobility and independence. But the EMG sensors 

used to operate the prosthetic have CMRR that are not specified according to 

empirical data or model projections. Therefore, when the prosthetic user is 

performing a daily task that introduces higher than normal EMI noise conditions 

for the sensor, the user may have difficulty in operating the prosthetic using 

amputated or weaker arm muscles. This circumstance LV EHFDXVH WKH (0* VLJQDO¶V 

FKDUDFWHULVWLF IUHTXHQF\ EDQG RYHUODSV ZLWK WKDW RI WKH (0,¶V IUHTXHQF\ EDQG  

In particular, the purpose of this research is directed towards modelling the 

magnitude of the CC-EMI, at 50 Hz, that conducts through the human body and 

could interfere with the Bicep EMG measurements. To be able to model the 

magnitude of the EMI, it is required that a model of the human body, as well as the 

model of the capacitive coupling, be developed.  

Achieving a functioning electrical model of the human body that accounts for the 

current flow from one hand to the other will potentially reduce the time and 

resources required to capture EMI magnitudes found when an EMG-user is 

interacting with the various EMI sources found in homes or offices, and thus a 

CMRR can be prescribed. 

The research requires the understanding and modelling of electric fields and 

parasitic capacitances in homes and office space, the electrical properties of human 

tissue and the human body as an electric circuit. Chapter 2 provides some 



 

Page 12 of 113 

 

background knowledge on the human body electrical models and electrical nature 

of human tissue.  

Chapter 3 documents the theoretical development of the capacitive-coupling and 

the human body circuit model. 

In Chapter 4 the experimentation and the measurement results are discussed.  

In Chapter 5, the final model derived from the sub-models discussed in Chapter 3, 

and the parameters recorded in Chapter 4 is presented. 

In Chapter 6, model validation is conducted and research work is critically 

analysed. Potential future works are also discussed. 

The research work is concluded in Chapter 7. 

 



Page 13 of 113 

 

Chapter 2  

+80$1 %2'< (/(&75,& &,5&8,7 

02'(/6   +80$1 7,668( 

(/(&75,&$/ &+$5$&7(5,67,&6 

This chapter examines the literature on galvanic circulation, human body electric 

circuit models and human tissue electrical characteristics. The magnitudes of body 

impedance depend on several factors such as current path, touch voltage, duration 

of current flow, frequency, degree of moisture of the skin, surface area of contact, 

the pressure exerted and temperature. [33], [34]. The Freiberger Human Body 

model [35] which does account for several of the factors is discussed in this chapter.  

 Galvanic Circulation 

Wegmüller [32] attempted to describe the portions of the human body as a signal 

propagation mediums for Intra-body Communication. Considering the areas of the 

body with simple anatomical structures like the arms and legs. The modelling of 

the geometrical and physical properties was approximated by three types of tissue: 



 

Page 14 of 113 

 

skin, muscle, and bone. This is shown in Figure 5. experimental setup was described 

as being similar to electrical impedance tomography [36]. Electrodes that were 

attached to a low-amplitude current source were placed on the lower part of the 

VXEMHFW¶V IRUHDUP DQG GHWHFWLRQ HOHFWURGHV ZHUH DWWDFKHG WR WKH XSSHU SDUW RI WKH 

forearm.  

 

Figure 5 ± Intra-body signal propagation through the fore-arm. A simplified view of the fore-arm with three 

tissue-layered skin (i.e. skin, muscle and bone).  

However, to describe the galvanic current flow between the transmission electrodes 

and the receiver electrodes. Kibret et al. describes the processes better in a graphical 

form and this is shown in Figure 6. In this figure, there are two groups of currents 

flowing between the electrodes. The primary flow occurs between the transmission 

nodes and it can be considered the transverse path. The secondary flow moves 

laterally across the limb and is intercepted by the receiver electrodes which 

measures across second transverse path and it would be a fraction of the input 

voltage [37]. However, this diagram is for a single, homogenous medium and will 

differ when a multi-medium model is developed. 



 

Page 15 of 113 

 

 

Figure 6 ± Intra-body signal propagation through the fore-arm - Current flow paths for galvanic coupling, 

where primary current flow (shown in green arrows) do not affect receiver signal and the secondary current 

flow is the current that induces a potential difference across the receiver electrodes(shown in blue arrows). 

ZT1 UHSUHVHQWV WKH LPSHGDQFH RI WKH SULPDU\ ÀRZ SDWK  =L1 and ZL2 refer to the impedance of the longitudinal 

IRUZDUG DQG UHWXUQ SDWK RI WKH VHFRQGDU\ ÀRZ  UHVSHFWLYHO\  =T2 refers to the transverse path of the secondary 

ÀRZ DQG l is the distance between transmitter and receiver electrode pairs. 

2.1.1. Discussion 

Current research into modelling CC-EMI on the human body is limited to scenarios 

with overhead powerlines and its effect in electrocardiography measurements [38]±

[40]. Haberman [31] may have touched on proximity CC-EMI with the experiment 

involving contact with a light switch. These works all reduced the human body 

component of the model, between the electrodes, to arbitrary star or delta triple 

resistor network or a potential divider pair.  

Apart from the Freiberger model, to be discussed, human body circuit models have 

been used to simulate the lightning or electrostatic discharge electrocution of 

persons. 7KHVH PRGHOV DUH ³VWLFN-ILJXUH´ KXPDQ ERG\ LPSHGDQFH PRGHOV DQG DUH 

described in Andrews [41] and Sutherland [42]. However, these do not support or 

cannot be modified to support galvanic circulation. 

Galvanic circulation is considered an important concept in the developed model. 

Like the current propagation in Figure 6, the current propagation in the CC-EMI 

H2H Human Body model will also circulate, however, across a larger transverse 

path, i.e., from one hand to the other and with more nodes. 

,ƵŵĂŶ 
 ŽĚLJ

TX

ZL1

V RX

A1

A2

B1

B2

ZT2

I

l

ZL2



 

Page 16 of 113 

 

Adapting Figure 4 to describe the EMI coupling and propagation like the processes 

occurring in Figure 6, the developed model will break up into three sub-models. 

The transmission source containing the EMI source and the CC, the transmission 

medium consisting of the human body model, and the receiver part consisting of 

the measurement system. The developed human body model will essentially 

perform as a two-port network, where two terminal inputs will interact with the CC 

model and a three terminal output will connect to the EMI measurement sensor. 

 Human Body Impedance  

Biegelmeier [43]±[45] conducted experiments showing the relationship between 

dry Hand-to-+DQG  DEEUHYLDWHG WR ³+ +´  impedance and applied AC voltage for 

various hand contact areas between 1 mm2 and 8200 mm2. It was found that at 25 V, 

the H2H impedance was inversely proportional to the contact area. The experiment 

results are shown in Figure 7 [46].  

 

Figure 7 ± Total body impedance as a function of applied voltage for various contact areas; dry hand-to-hand 

electrodes measured by Beigelmeier [44]. The image was extracted from Reilly [47] and the various curves 

illustrated are identified by the contact area on each hand. 



 

Page 17 of 113 

 

2.2.1. Freiberger Human Body Model [35] 

Over 80 years ago, Freiberger [35] determined the impedance contribution of 

different segments of the body and the impedance contributions of the skin in 

different areas of the body. Figure 8 depicts the distribution of body impedance for 

various current paths. The numbers indicate internal impedance for various 

electrode placements as a percentage of the total hand-to-foot impedance body. This 

model was also adopted and is easily accessible in the International Electrotechnical 

Commission (IEC) technical standard TS 60479-1 [33], [34] 



 

Page 18 of 113 

 

 

Figure 8 ± Internal Partial Impedances of the Human body. The numbers indicate the percentage of the 

internal impedance of the human ERG\ IRU WKH SDUW RI WKH ERG\ FRQFHUQHG  LQ SURSRUWLRQ WR WKH µKDQG-to-IRRW¶ 

path. (Red arrows indicate skin impedances from the top layer to the nodes in the body). i 



 

Page 19 of 113 

 

Table 1 below, derived from Figure 8 lists the impedance contribution for each body 

section and different skin contact areas. The total of 100 % µKDQG-to-IRRW¶ SDWK body 

impedance does not include the outer skin impedance. Reilly [46] described that 

50% of the internal impedance for hand-to-hand or hand-to-foot contacts resides in 

the extremities, i.e., wrists or ankles, and is due to the prevalence of poorer 

conducting bone and ligament. Reilly suggests that the impedance distribution in 

Figure 8 is consistent with the investigations of Taylor [48], who used high-voltage 

capacitive discharges on living people. 

TABLE 1 ± LIST OF INTERNAL PARTIAL IMPEDANCES PERCENTAGES OF THE HUMAN BODY, IN PROPORTION TO THE 

µ+AND-TO-FOOT¶ PATH  

Body Part Areas Percentage 

Head to heart 10 
Heart to navel 1.3 
Navel to Upper leg 5.1 
Upper Leg 14.1 
Lower Leg 32.3 
Lower Arm 26.4 
Upper Arm 10.9 
Deltoid 6.9 
Shoulder to Shoulder 6.1 
Upper Arm to heart 9.9 
Waist 8.7 
  
Skin Areas Percentage 

Lower Arm 1.8 
Upper Arm 3.3 
Shoulder 3.9 
Heart 5.2 
Navel 8 
Upper Leg 3.6 
Lower Leg 3.3 

2.2.2. Discussion 

The Freiberger model is an appropriate foundation for developing the human body 

electrical circuit model based on dipole inputs because the body is separated into 

similar characteristic segments, like the upper arm, lower arm, upper leg, etc. The 

benefit of segmentation by percentages is that each iteration of the model is unique 

WR  WKH VXEMHFW¶V KDQG-to-hand or hand-to-foot impedances. The model also offers 



 

Page 20 of 113 

 

skin impedance percentages at numerous locations which allows more accuracy for 

the meaVXUHPHQW VLWH¶V SRVLWLRQ  

If the H2H impedance is measured with skin impedances are included, it will be 

98.1 % of the hand-to-foot impedance measured below the skin surface. Therefore, 

this model will require a scale adjustment to make it appropriate for H2H 

impedance measurement matching up to 100%.  

 Electrical Properties of Human Tissue 

To model a basic electric circuit model of the human body, one would need to know 

the electrical properties, i.e., permittivity İ and conductivity ı, of affected tissue 

such as skin, muscles, blood, and bone. Gabriel [49] mentions that there are few 

reliable datasets on the human body tissue for frequencies below 100 kHz because 

the tissue degrades due to decomposition and electric current. Reilly [46] provides 

an in-depth work on the dielectric properties of tissue, effects of electricity on the 

human body for a wide range of voltages, current and frequencies. 

Gabriel et. al. [50], [51] is often referenced in literature and is currently assumed to 

be a reliable source of data for conductance and permittivity of human body tissue 

for frequencies between 10 Hz and 10 GHz. Table 2 lists the permittivity and 

conductivity of the human body tissue of interest [50], [51]. As shown in Table 2, 

tissue with high electrolyte content, like blood and muscle, have higher 

conductivities.  

It should be noted that skin conductance can change due to sources of hydration and 

salinity, like perspiration. Also, subcutaneous adipose tissue or fat is less 

conductive than muscle. Therefore, one would expect the attenuation of signal 

voltage to be proportional to the quantity of fat that lies between the skin and 

muscle.  

 

 



 

Page 21 of 113 

 

TABLE 2 ± PERMITTIVITY AND CONDUCTIVITY VALUES FOR HUMAN BODY TISSUE AT 50 HZ AND 200 HZ [50],  

Tissue 50 @ ߝ Hz 200 @ ߝ Hz 50 @ ߪ Hz 
(m/S) 

 Hz 200 @ ߪ
(m/S) 

Blood 5.26 × 103 5.26 × 103 0.700 0.700 
Muscle 1.77 × 107 3.70 × 106 0.233 0.291 
Subcutaneous Adipose Tissue 4.58 × 105 6.56× 105 4.04 × 10-2 4.08× 10-2 
Cortical Bone 8.87 × 103 4.79 × 103 2.01 × 10-2 2.01 × 10-2 
Dry Skin 1.14 × 103 1.14 × 103 2.00 × 10-3 2.00 × 10-3 

2.3.1. Assumptions  

Based on Table 2, an assumption that wet tissues have negligible capacitances can 

be made. Therefore, if capacitance is measured off the subject, it will be attributed 

to the skin surface of the developed model.  

 Chapter Summary 

In this chapter, human body electrical impedance and human body tissues 

characteristics are discussed. The Freiberger human body model was presented and 

discussed is expected to serve as a usable base for building the desired model. 

Human body tissues are also discussed to identify the different degrees of 

resistances and capacitances in the body. Making use of existing verified human 

body models and data will benefit the development of the desired model by 

reducing the difficulties and complexities of µstarting from zero ¶ This base model 

developed in the next chapter should serve to emulate the galvanic circulation as 

well as to provide the inputs and output interfaces for the CC model and the EMI 

measurement sensor. 

 

i NOTE :     In order to calculate the total body impedance ZT for a given current path, the internal 
partial impedances Zip for all parts of the body of the current path have to be added as well as the 
impedances of the skin of the surface areas of contact. The numbers outside the body show internal 
portions of the impedance to be added to the total, when the current enters at that point 

                                                 



Page 22 of 113 

 

Chapter 3  

352326(' 02'(/ 

In this chapter, the sub-models that make up the CC-EMI model for EMG sensors 

are developed. These sub-models are the capacitive-coupling (CC) source model 

and the human body circuit model. 

 Capacitive-Coupling Source Model 

The deliberate selection of grasping a flat, two-core, power cable (2 × 0.75 mm2) 

as the source of EMI was done to reduce the complexity of the CC component in 

the final model. These cables have Poly Vinyl Chloride (PVC) insulation for each 

of their twin-cores and further surrounded by a PVC insulation sheath, forming an 

elliptical cross-section profile. The cables are identified by the code  

³+  99+ -)´  

Power cables come in various geometries and several core numbers. Therefore, the 

CC model used for this cable is not expected to be directly usable for other cable 

variations. For example, there are other two-core wire geometries used in common 

household and office environments. Some have circular cross-sections, and some 

have thinner wires. These properties affect the electric fields between the wires and 

therefore affect the CC induced due to grasp. 



 

Page 23 of 113 

 

3.1.1. Conceptualising the Electric Field on the grasped Type P3 

cable 

As mentioned in the last chapter, the subject can become capacitive coupled to the 

power grid when the cable is grasped, as shown in Figure 9. This results in the tissue 

that is in proximity and surrounds the cable becoming a floating potential medium. 

 

Figure 9 ± Hand grasping a flat power cable, with cable in the cross-sectional view. Blue and brown circles 

indicates insulation around the neutral and live wire, respectively. Human fist outline adapted from 

Wikimedia Commons [52]. 

The electric potential of the flat power cable is modelled in COMSOL V5.3 and the 

cross-section is shown in Figure 10. The copper cylinders are 2 mm apart (from 

their centres), the insulation is 0.5 mm thick, and the sheath thickness is 0.6 mm 

[53]. The material domains which were PVC were given a relative permittivity of 

4.5 [54]. The source potential is set to 330 Vpeak and is based on the rounded-up 

average source voltage measured during the experimentation of 329.9 Vpeak. The 

result shows that the floating potential surface was at 165 Vpeak. 



 

Page 24 of 113 

 

 

Figure 10 ± Simulated Electric Potential of a flat power cable with a floating potential boundary surrounding 

sheath. The legend indicates the arrow potentials in V/m. Live and neutral conductors are on the right and the 

left, respectively. 

3.1.2. Modelling Capacitance on a grasped, flat power cable 

The analysis of the electric field lines in Figure 10, indicates two different travel 

paths. The first path propagates directly between the Live and Neutral and is 

concentrated in the region between the two conductors. The second path moves 

from the live conductor to the floating potential, conducts along the floating 

potential, and finally returns to the neutral conductor.  

To convert the electrostatic model into an electric circuit model with minimal 

elements, it can be assumed that the first path can be represented as a single 

capacitor, C1. And the second path can be represented as two capacitors, C2 and C3, 

each for the span across the dielectric. The regions transformed into capacitors are 

shown in a graphical representation in Figure 11. 

 

Figure 11 ± Segmenting Cross-section of type flat power cable into three capacitance regions 



 

Page 25 of 113 

 

Essentially, Figure 12 is the result of the electric circuit transformation, where two 

current paths are between the live and neutral conductors. The current path that 

connects C2 and C3, can follow any path along with the floating potential along the 

sheath and in the figure. In theory, the capacitances C2 and C3 have the same 

capacitance because the geometry of the cable is symmetrical along the tangent 

where the two insulators meet.  

 

Figure 12 ± Simplified current paths in a cross-section of a flat power cable 

3.1.3. Capacitance on a Grasped Flat Power Cable: COMSOL 

modelling 

COMSOL V5.3 was used to model the capacitance between Live and Neutral for 

the region that is grasped. COMSOL Electrostatics solver has the capability of 

measuring capacitances that lie between terminal voltages and ground. To use a 

superposition type calculation to determine the three capacitor values, two 

simulation geometries were conducted, where one had the sheath as a floating 

potential surface and the other did not.  

Capacitance C1 was determined by simulating the electrostatic field of the flat 

power cable without a floating potential where the charge moves directly from the 

live wire to the neutral wire. When simulating the electrostatic field of the flat 

power cable with the floating potential, the resulting capacitance measured is a 

combination of series connected C2 and C3; which is parallel connected to capacitor 

C1. In this case, the charge has two paths to flow, the first is directly like the last 

case and the second is through the floating potential. Using the capacitor arithmetic, 

C1C2 C3



 

Page 26 of 113 

 

Equations (1) and (2), one can deduce capacitances for C2 and C3 from the total 

capacitance when floating potential is present.  

௣௔௥௔௟௟௘௟ ௘௤௨௜௩ܥ ൌ ଵܥ ൅ ଶܥ ൅ ൅ڮ  ௡ܥ

(1) 

ͳ

௦௘௥௜௘௦ ௘௤௨௜௩ܥ
ൌ

ͳ

ଵܥ
൅

ͳ

ଶܥ
൅ ൅ڮ

ͳ

௡ܥ
 

(2) 

Capacitances simulated and calculated were for the hand widths between 50 mm 

and 100 mm at increments of 5 mm and are displayed in Table 3. The minimum 

width is based on the average for 6-year-old child [55], and the maximum is slightly 

larger than the 95th percentile for a 40-year-old male [56].  

TABLE 3 ± SIMULATED CAPACITANCES FOR VARIOUS HAND WIDTHS BETWEEN 50 MM AND 120 MM 

Capacitance 
(pF) 

Simulated Measurements Calculated 
Values No Floating Potential With Floating Potential 

Hand width 
(mm) 

CL-N = C1 CL-N = C1 + 2×C2 C2= C3 

50 3.65 6.15 5.00 

55 4.02 6.77 5.50 

60 4.38 7.38 6.00 

65 4.75 8.00 6.50 

70 5.11 8.61 7.00 

75 5.48 9.23 7.50 

80 5.84 9.84 8.00 

85 6.21 10.50 8.58 

90 6.58 11.10 9.04 

95 6.94 11.70 9.52 

100 7.30 12.30 10.00 

105 7.67 12.90 10.46 

110 7.93 13.30 10.74 

115 8.38 14.10 11.44 

120 8.76 14.80 12.08 

Figure 13 is a plot of the values found in Table 3 which also contains the trend-lines 

describing the linear relationship between the hand width and the Capacitances C1, 

C2 and C3. The linear relationships are described in Equations (3) and (4) . The 



 

Page 27 of 113 

 

relative errors between the linear Equations (3) and the simulated values are 

described in Table 4 , along with the corresponding impedances at 50 Hz. Most 

deviation errors were below 1 % except for the event with 110 mm hand width.  

ଵܥ ൌ ͹ʹǤͻ ܨ݌Ȁ݉ 

(3) 

ଶܥ ൌ ଷܥ ൌ ͻͻǤͺ ܨ݌Ȁ݉ 

(4) 

 

Figure 13 ± Simulated Capacitance C1 and Calculated Capacitances C2 and C3 for Various Hand Widths 

Between 50 mm And 120 mm 

  



 

Page 28 of 113 

 

TABLE 4 ± ERROR ON CAPACITANCE VALUES OBTAINED WITH LINEAR RELATIONSHIP EQUATIONS (3) AND (4) 

 CL-N = C1 C2 = C3 
Hand width 

(mm) 
Capacitance 

(pF) 
Error % 

Impedance @ 
50 Hz (Mȍ  

Capacitance 
(pF) 

Error % 
Impedance 

(Mȍ  

50 3.65 0.14% 873 4.99 0.20% 638 

55 4.01 0.26% 794 5.49 0.20% 580 

60 4.37 0.14% 728 5.99 0.20% 532 

65 4.74 0.24% 672 6.49 0.20% 491 

70 5.10 0.14% 624 6.99 0.20% 456 

75 5.47 0.23% 582 7.49 0.20% 425 

80 5.83 0.14% 546 7.98 0.20% 399 

85 6.20 0.22% 514 8.48 1.13% 375 

90 6.56 0.29% 485 8.98 0.64% 354 

95 6.93 0.21% 460 9.48 0.41% 336 

100 7.29 0.14% 437 9.98 0.20% 319 

105 7.65 0.20% 416 10.48 0.18% 304 

110 8.02 1.12% 397 10.98 2.22% 290 

115 8.38 0.04% 380 11.48 0.32% 277 

120 8.75 0.14% 364 11.98 0.86% 266 

3.1.4. Discussion 

In this sub-section, the aim was to obtain an equation that estimates the coupling 

capacitance values (C2 and C3) that describe a hand grasping a flat power cable. The 

coupling capacitance values were determined by comparing simulation values of 

the use case that has a floating potential with a set of simulations that do not contain 

floating potentials. It can be deduced that the coupling capacitances C2 and C3, 

between the cable conductors and the subject grasping the cable, was between 

4.99 pF and 11.98 pF (638 0ȍ and 266 0ȍ  UHVSHFWLYHO\ DW    +] , for hand widths 

between 50 mm and 120 mm. The CC circuit model, to be used in the final model, 

is shown in Figure 14. 

 

Figure 14 ± Capacitive-Coupling Model, where magnitudes of C2 and C3 are determined using Equation (4) 



 

Page 29 of 113 

 

 Development of the Human Body Circuit Model 

Using the Freiberger model as a base, several modifications are required to morph 

it into the desired model with the following characteristics: 

x Multiple circuit loops to mimic galvanic current flow, and 

x Ability to divide the length of the bicep (or any other measured muscle) to 

place the EMG electrodes,  

To achieve the above characteristics, the below modifications to the Freiberger 

model were made. 

3.2.1. Modification 1: Modifying Percentages of the Hand-To-Hand 

Impedance  

The focus of this research is on upper limb measurements. Using the hand-to-leg 

impedance percentages in Table 1 yield 88.12 % for the H2H impedance using 

Equation (5). This equation was derived by calculating the impedance between the 

two hands of Figure 8, where the paths from the torso to the head and the torso to 

the legs are considered open circuits.  

The H2H impedance percentage values were recalculated to make Equation (5) 

amount to 100% H2H impedance, including the skin impedance. This resulted in a 

scale-up factor of 1.135 applied to each of the impedance values and the new 

proportioned values are listed in Table 5 . 

ܴுଶு̴଴ ൌ ʹ ൈ ൫ܴ௦௞௜௡ಽಲೝ೘ ൅ ܴ௅஺௥௠ ൅ ܴ௎஺௥௠൯ ൅ ൫ʹ ൈ ܴ௎஺௥௠ಹ೐ೌೝ೟
൯ȁȁሺʹ ൈ ܴ஽௘௟௧௢௜ௗ

൅ ܴௌ௛௢௨௟ௗ௘௥ሻ 

(5) 

 



 

Page 30 of 113 

 

TABLE 5 ± FACTOR ADJUSTED PERCENTAGES OF BODY AREAS MENTIONED IN FREIBERGER MODEL TO RESULT IN A 

100% HAND-TO-HAND IMPEDANCE  

Body Part Areas Abbreviated name Original % New % 
Head to heart Head_heart 10 11.35 
Heart to navel Heart_navel 1.3 1.48 
Navel to Upper leg Navel_Uleg 5.1 5.79 
Upper Leg ULeg 14.1 16.00 
Lower Leg LLeg 32.3 36.65 
Lower Arm LArm 26.4 29.96 
Upper Arm UArm 10.9 12.37 
Deltoid Deltoid 6.9 7.83 
Shoulder to Shoulder Shoulders 6.1 6.92 
Upper Arm to heart UArm_heart 9.9 11.23 
Waist Waist 8.7 9.87 
        
Skin Areas Abbreviated name Original % New % 

Lower Arm skin_LArm 1.8 2.04 
Upper Arm skin_UArm 3.3 3.74 

3.2.2. Modification 2: Reducing original Model Scope to Hand-to-

hand Model 

The Freiberger model was SRWHQWLDOO\ VXLWDEOH IRU ³IDU-field capacitive coupling´ 

where the person is some distance away from an EMI source and the EMI induced 

currents will dissipate to the ground plane YLD WKH VXEMHFW¶V IHHW. In other words, the 

current path flows from one extremity to another. The model was plotted in LTspice 

and is shown in Figure 15. Terms Left_Hand1 and Right_Hand1 on the extremity 

nodes refer to the right hand and left hand of the participant. 



 

Page 31 of 113 

 

 

Figure 15 ± Original Freiberger Model with human body outline. 

Based on the values in Table 5, it is assumed that the path of least resistance 

between the hands does not pass through the head and legs. Therefore, the first 

model modification was to remove parts of the model that would have a negligible 

effect, which are the head and legs. The result is shown in Figure 16. 

 

Figure 16 ± Hand-to-hand Section of Freiberger Model 



 

Page 32 of 113 

 

3.2.3. Modification 3: Introducing the 2nd Pathway using Parallel-

Resistor Theory 

Modification 2 simplified the original model for a H2H transmission case. 

Modification 3 was done to introduce the anterior and posterior electrical pathways. 

This modification was the next step in creating a closed loop between the noise 

source and the measurement site. Another reason for having separated anterior and 

posterior paths was because the bicep muscle is adjacent to the inner elbow and not 

to the elbow bone. It should be noted that the EMG sensor reference is placed above 

the elbow bone which implies that this separation is important. 

The upper limb sections of the model were duplicated and placed in parallel to 

connect to the UArm_heart resistors, as shown in Figure 17. Since the upper limbs 

have two paths each, the resistance values of skin_LArm, LArm and UArm, need to 

be doubled to maintain the 100 % hand-to-hand impedance value. The resulting 

H2H impedance is still 100 %. 

 

Figure 17 ± Modification 2 of Hand-to-hand Human Body Impedance Model 

3.2.4. Modification 4: Introducing Inter-Pathway Resistances for 

Multiple Galvanic Flow Paths and H2H Capacitance 

This modification is to introduce resistors between the anterior and posterior paths, 

thus creating multiple meshes for current to circulate. Based on the literature 

presented in Section 2.3, it is assumed that current flow path preference is through 

the body tissue with the least impedance, which in this modelling case is muscle 

tissue. Current will enter the muscles at attachment points on the skeleton. 



 

Page 33 of 113 

 

As shown in Figure 18 , eight resistors crossing between the anterior and posterior 

paths have been introduced. Ideally, these inter-pathway resistors placed between 

the anterior and posterior paths represent higher impedance body tissue like bone 

or tendon that connects opposite muscles at joints for the wrists, elbows, and 

shoulders. The inter-pathway resistors are positioned to join at the existing eight 

nodes on both arms of the Freiberger model. It is assumed that the current leakage 

to higher impedance tissues like bone and skin are negligible, therefore, no inter-

pathway resistors partway between the upper arm or lower arm segments.  

The sub-sections below describe the modifications to the inter-pathway resistances, 

H2H capacitance and the extremity nodes. 

 

Figure 18 ± Modification 3 of Hand-to-hand Human Body Impedance Model 

Inter-Pathway Resistors 

Assuming both arms have the same impedance composition, the four resistors, 

ResSkin, ResWrist, ResElbow and ResShoulder, were added in each arm circuit to 

represent the Stratum Corneum and the joints for the wrists, elbows, and shoulders, 

respectively. It should be noted that the resistor skin_LArm represents the resistance 

experienced by the current flow through the Stratum Corneum layer and into the 

sub-Stratum Corneum layers of the skin. And ResSkin represents the resistance 

across the skin surface. Based on the literature that states cortical bone is more 

conductive than dry skin, it is assumed that the magnitude of ResSkin must be 

greater than ResWrist.  

It is known that a sizeable portion of the internal impedance for hand-to-hand 

contacts resides in the extremities due to the prevalence of poorer conducting bone 



 

Page 34 of 113 

 

and ligament [46]. Subsequently, regions surrounded by a greater proportion of 

muscles to joint tissue will have lower resistance. It is assumed that the magnitude 

of ResWrist would be larger than ResElbow. 

To maintain proportionality of the magnitudes of ResSkin, ResWrist, ResElbow and 

ResShoulder between participants, the values were derived as a factor of the Hand-

to-hand resistance, RH2H, magnitude resulting in Equations (6) to (10) . 

݊݅݇ܵݏܴ݁ ൌ ܻ ൈ ܴுଶு ሺߗሻ 

(6) 

ݐݏ݅ݎܹݏܴ݁ ൌ ܺ ൈ ܴுଶு ሺߗሻ 

(7) 

ݓ݋ܾ݈ܧݏܴ݁ ൌ ܹ ൈ ܴுଶு ሺߗሻ 

(8) 

ݎ݈݁݀ݑ݋݄ܵݏܴ݁ ൌ ܸ ൈ ܴுଶு ሺߗሻ 

(9) 

݊݅݇ܵݏܴ݁ ൐ ݐݏ݅ݎܹݏܴ݁ ൐ ݓ݋ܾ݈ܧݏܴ݁ ൐  ݎ݈݁݀ݑ݋݄ܵݏܴ݁

(10) 

The above mentioned four resistance values are unknown and are determined in 

Chapter 5, Section 7.2.3. 

Hand-to-Hand Capacitance (CH2H_0) 

Capacitors with a µCH2H¶  capacitance magnitude were placed at the ends of 

skin_LArm to represent the capacitance due to the Stratum Corneum. Assuming the 

VXEMHFW¶V + + VHULHV capacitance was measured and stored at the value µCH2H_0¶. 

The CH2H value could be derived by converting the single capacitor magnitude to a 

capacitor network of two series capacitors in parallel to another two series 

capacitors, as shown in Figure 19. The result is that each capacitors magnitude is 

equal to the total capacitance of the system, CH2H_0. 

ுଶுܥ ൌ ͲǤͷ ൈ ுଶு̴଴ ȁȁ ͲǤͷܥ ൈ ுଶுబܥ ൌ  ுଶு̴଴ܥ



 

Page 35 of 113 

 

(11) 

 

Figure 19 ± Network of two series capacitors in parallel to another two series capacitors (Labelling is 

XQUHODWHG WR WKH +XPDQ %RG\ FLUFXLW PRGHO¶V HOHPHQW QXPEHULQJ   

Extremity Node Modification  

The nodes Left_Hand1 and Right_Hand1 in Figure 17 were split into two nodes due 

to the addition of ResSkin in Figure 18. The naming was revised to L_Hand1 and 

L_Hand2 for the nodes on the left hand, and R_Hand1 and R_Hand2 for the nodes 

on the right hand. These nodes will be connected as the left-hand or right-hand pairs 

to the Noise model developed in the CC Source Model in Section 3.1. 

3.2.5. Modification 5: Dividing Bicep area of Upper Arm for 

placement of Bipolar electrode nodes 

This modification was to subdivide the right-hand VLGH¶V XSSHU DUP UHVLVWRU  R15 in 

Figure 18) into regions separated by the bipolar electrode positions. The result 

shown in Figure 20 has the three resistors (R23, R24 and R25) with the values of 

UArmA, UArmAB and UArmB, respectively. The nodes between them are labelled 

Pad_A and Pad_B and represent the electrode position. It should be noted that the 

resistance percentage values of UArmA, UArmAB and UArmB are proportional to 

the length  

 ϭ  Ϯ

 ϯ  ϰ



Page 36 of 113 

 

 

Figure 20 ± Modification 5 of Hand-to-Hand Human Body Circuit Model 

 



Page 37 of 113 

 

each region occupies of UArm. The regions are described in Table 6.  

TABLE 6 ± DEFINING THE REGIONS FOR UARMA, UARMAB AND UARMB 

Parameter Equation or Magnitude 
A Length between Pad_A and Elbow electrode (m) 
B Length between Pad_B and Shoulder bone (m) 
AB Length between the Pad_A and Pad_B centres 

The percentage resistance values of UArmA, UArmAB and UArmB are calculated 

using the mathematical equations (12) to (15). Using the assumption by Wegmüller 

[32] that the internal resistance across the length of the upper arm was uniform. 

This allowed the simple subdivision described in the equations below. 

݄ݐ݃݊݁ܮ̴݉ݎܣܷ ൌ ܣ ൅ ܤ ൅  ሺ݉ሻ ܤܣ

(12) 

ܣ݉ݎܣܷ ൌ ܣ ൈ   ሺΨሻ ݄ݐ݃݊݁ܮ̴݉ݎܣȀܷ݉ݎܣܷ

(13) 

ܤ݉ݎܣܷ ൌ ܤ ൈ  ሺΨሻ ݄ݐ݃݊݁ܮ̴݉ݎܣȀܷ݉ݎܣܷ

(14) 

ܤܣ݉ݎܣܷ ൌ ܤܣ ൈ  ሺΨሻ ݄ݐ݃݊݁ܮ̴݉ݎܣȀܷ݉ݎܣܷ

(15) 

3.2.6. Discussion 

In this sub-section, the aim was to obtain a human body electrical circuit model that 

accounts for galvanic circulation using the knowledge found in the literature. The 

developed model made use of the Freiberger model as a base. However, the model 

is incomplete as there are undefined resistances, that account for current circulation 

between anterior and posterior paths. The human body model requires experimental 

data to derive unknown resistor values. The resulting body segment percentages 

after all the modifications are shown in Table 7.  

 



 

Page 38 of 113 

 

TABLE 7 ±PERCENTAGES OF BODY SEGMENT IMPEDANCES AFTER MODIFICATION 4 

Body Part Areas 
Abbreviated 
name 

New 
Percentage 

Lower Arm LArm 59.91 
Upper Arm UArm 24.74 
Deltoid Deltoid 7.83 
Shoulder to Shoulder Shoulders 6.92 
Upper Arm to heart UArm_heart 11.23 
      

Skin Areas 
Abbreviated 
name 

New 
Percentage 

Lower Arm skin_Larm 4.09 
Upper Arm skin_Uarm 7.49 

 Chapter Summary 

In this chapter, a basic CC-circuit model was developed for the flat, two-core power 

cable using COMSOL electrostatic simulations, and the Human Body circuit model 

was developed from the literature presented in Chapter 2. The CC-circuit model 

ZDV GHVLJQHG WR SURYLGH FDSDFLWDQFH DFURVV WKH LQVXODWLRQ EDVHG RQ WKH VXEMHFW¶V 

hand width. The relationship between the hand width and capacitance is linear and 

is represented by Equation (4). 

The Human Body circuit model was developed from the Freiberger model and 

accounts for galvanic circulation of EMI due to a dipole source. However, the 

circuit is incomplete as there are abstract resistors that represent the resistance 

across the skin, and joints of the wrist, elbow, and shoulder. These abstract resistors 

currently do not have specified magnitudes and will be determined by use of 

experimental data.  

 



Page 39 of 113 

 

Chapter 4  

(;3(5,0(17$7,21   5(68/76 

In this chapter, the experimentation procedure and the measurement results are 

processed and discussed. The data obtained will be used for populating the input 

parameters into the combined model and optimising to proximate the output 

parameters in Chapter 5. The sections in this chapter will present the decisions taken 

on and setup of the noise source, the component selections for the measurement 

sensor, and the data collection procedure used during the experiment. The 

measurement results are processed and analysed, and a sample data set is presented. 

 Experimental Environment and Component Design 

The designed experiment will need to provide the input data, required to 

characterise the participant based on their externally measureable parameters. As 

well as output data required to calibrate the model for improved accuracy. To re-

iterate, the conditions are:  

x The subjects are non-amputees that have right-handed dominancy, 

x The EMI sensor is placed RQ WKH ULJKW DUP¶V ELFHS RI WKH VXEMHFW  

x The subjects are grasping a flat, two-core power cable used for lamp 

applications, to induce EMI currents in the body. 

x The lamp will be powered by 230 VRMS (330 VPeak), 50 Hz, and 



 

Page 40 of 113 

 

x The measurements are done in a controlled environment. 

The environment and lamp used during the experiment are discussed in Section 

4.1.1 - Environment Setup. The component selection and design of the developed 

EMI sensor are discussed in Section 4.1.2 - Measurement System.  

4.1.1. Environment Setup 

The requirement for a controlled environment leads to the use of the School of 

(OHFWULFDO  DQG  ,QIRUPDWLRQ  (QJLQHHULQJ¶V  $QHFKRLF  &KDPEHU  IDFLOLW\  LQ  WKH 

Electromagnetic Laboratory. The chamber is virtually isolated from noise sources 

such as power cables and telecom signals. 7KH FKDPEHU¶V RQH     Vrms, 50 Hz plug 

point source will be used for powering the lamp, as well as the oscilloscope that 

will be recording the measurements obtained from the EMI sensor. 

As shown in Figure 21 , a table was positioned in the chamber, and the lamp and 

the oscilloscope were placed on the table. The 230 Vrms, 50 Hz power source was 

measured via a generic, 20:1 step down transformer with a 300mA current rating.  

 

Figure 21 ± View of Anechoic Chamber from the entrance 



 

Page 41 of 113 

 

Power Supply Characteristics 

The power supply was measured using the step-down transformer to isolate the 

oscilloscope¶V  JURXQGLQJ  DQG  WKH  PHDVXUHment ground reference. The 

measurements were multiplied by 20 to compensate for the stepped-down voltage. 

The measurement sample is shown in Figure 22 , and the RMS and peak voltages 

were 230.7 V, and 329.84 V, respectively. 

The 230 Vrms, 50 Hz power supply sample¶V frequency spectrum, with a 1 kHz 

filter, is shown in Figure 23, where one can see that harmonics at 150 Hz, 250 Hz, 

350 Hz, 450 Hz, 550 Hz and 650 Hz are above 50 mVp. 

 

Figure 22 ± Sample measurement of the 230 Vrms power supply found in the Anechoic Chamber 

 

Figure 23 ± FFT of Sample measurement of the 230Vrms power supply found in the Anechoic Chamber 



 

Page 42 of 113 

 

Noise Source ± Cable and Lamp  

7KH  FDEOH  ZDV  D       P  ³$EHUGDUH         9  +  99+ -)´, used for electrical 

devices up to 3 A. The Type P3 cables dimensions are shown in Table 8 . 

TABLE 8 ± SPECIFIC REQUIREMENTS FOR FLAT, TWO-CORE CABLE 

Number of 
cores and 
conductor 

size 

Thickness of 
insulation 

(mm) 

Thickness of Sheath 
(mm) 

Overall 
breadth limits 

(mm) 

Overall width 
limits 
(mm) 

(mm2) minimum nominal minimum nominal lower upper lower upper 
2 × 0.75 0.35 0.5 0.41 0.6 3.2 3.8 5.2 6.3 

$Q LPSRUWDQW DVSHFW RI WKH ODPS¶V FDEOH WR note was the orientation of the Live and 

Neutral wires. With the flat sides of the cable facing as shown in Figure 24, the Live 

and Neutral wires were on the left and right side, respectively. The light bulb used 

LQ WKH H[SHULPHQW ZDV D ³(XUROX[ *   %&´   :  :DUP :KLWH /(' JOREH as it is 

the most common source of illumination in homes and offices due to its energy 

efficiency. It is known that LED lighting contain power regulation circuitry and are 

known to possess switching frequency noise, it is expected that the switching 

frequency will not occupy the frequencies adjacent to 50 Hz. 

 

Figure 24 - Orientation of electrical connections to the lamp.  



 

Page 43 of 113 

 

4.1.2. Measurement System 

As shown in Figure 25, the EMI measurement system comprises of the Electrodes, 

the PCB-mounted Voltage Followers circuit, the Oscilloscope and the DC (Direct 

Current) Power Supply. The dual-rail DC power was provided by a pair of 7.2 V 

batteries. 7KH  UHFRUGHG  GDWD  ZDV  FROOHFWHG  XVLQJ  WKH  ³5,*2/  062    =´ 

oscilloscope. In this subsection, the following are discussed.  

x Hydrogel electrodes used and their characteristics, and 

x The component selection and PCB design of the EMI sensor.  

The oscilloscope will have some effect on the experiment as it is AC-powered. To 

reduce the effects of the any residual uncontrolled EMI within the anechoic 

chamber, a baseline measurement will required to acknowledge the ambient EMI 

on the body before interacting with the lamp cable. 

 

Figure 25 - High-level System Diagram of sensor employed 

Hydrogel Electrodes used and Characteristics. 

7KH K\GURJHO HOHFWURGHV REWDLQHG IRU  WKH (0, PHDVXUHPHQWV ZHUH ³6.,17$&7 

FS-5*      (&*  (OHFWURGHV´   7KHVH  HOHFWURGHV  KDYH  GLPHQVLRQV  RI    PP  î 

40 mm.  

The series impedance of the hydrogel electrode pads was measured by placing two 

electrodes face to face and measuring the impedance between the two male press-

studs using the LCR meter  7KH PHWHU UHDG       ȍ DQG       ȝ) IRU WKH UHVLVWDQFH 

and capacitance, respectively. For simplicity, the resistance and capacitance were 

Voltage 
Follower

Oscilloscope

DC Power 
Supply

Electrodes



 

Page 44 of 113 

 

rounded RII  WR       ȍ  DQG     ȝ)   UHVSHFWLYHO\   &DOFXODWLQJ  D  VLQJOH  HOHFWURGH¶V 

impedance yielded the values of    ȍ DQG    ȝ)  

Voltage Follower Circuit  

The op-amps TL061 ACDR, TL071BCD and TL081BCD were screened from the 

general-purpose op-amps section of the Texas Instruments free sample website 

[57]. The op-amps chosen to have the following specifications. 

x a single channel, SOIC, 8-pin surface-mount packaging,  

x can operate with dual-power supply, and 

x has Typical Input Voltage Noise Density < 50 Q9  ¥+] 

The comparison between the three op-amps is displayed in Table 9. The 

TL071BCD and the TL081BCD specifications are similar in most categories. 

Though the TL071BCD is more purpose-built for low noise operation, the 

TL081CDR was chosen due to the shorter rise time overshooting period which 

should produce a more responsive circuit. It was expected that experiments would 

yield measureable harmonics of 50 Hz thus for requirement of the faster op-amp. 

However, this was not the case and therefore the TL071BCD would have been the 

better op-amp. It should be noted that the use of either of the listed Op-amps will 

SURYLGH  D     7ȍ  LQSXW  LPSHGDQFH ZKLFK  LV  ODUJHU  WKDQ  DQ\  NQRZQ  KXPDQ  ERG\ 

impedance.   



 

Page 45 of 113 

 

TABLE 9 ± COMPARISON OF VARIOUS OP-AMPS CHARACTERISTICS. GREEN FILL INDICATES BEST 

PERFORMANCE AND ORANGE FILL INDICATES POOREST PERFORMANCE 

Parameter TL061 
ACDR [58] 

TL071 BCD 
[59] 

TL081 BCD 
[60] 

Optimization Low Power Low Noise General 
    

Input Voltage Offset Range (mV) 3 to 7.5 2 to 5 3 to 5 
Input Offset Current Range (nA) 0.005 to 3 0.005 to 2 0.005 to 10 
Input Bias Current Range (nA) 0.03 to 7 0.05 to 7 0.03 to 7 

Typ. Peak Output Voltage Swing (V) ± (VCC - 1.5) 
Large Signal Differential Voltage 

Amplification (V/mV) 
6 200 200 

Unity Gain Bandwidth (MHz) 1 3 3 
,QSXW UHVLVWDQFH  ȍ  1012 

Max CMRR @ 1 kHz (dB) 86 100 86 
Slew Rate (V/uS) 3.5 13 13 

,QSXW 9ROWDJH 1RLVH #   N+]  Q9 ¥+]  42 18 18 
Rise-time overshoot factor  ȝV  0.2 0.1 0.05 

    
Dual Power Supply Range (V) ± 5 to ± 15 

Max Supply Current per channel (mA) 0.25 2.5 2.8 
    

Temperature Range (°C ) 0 to +70 

Figure 26 shows the circuit diagram of the electrical components described in 

Figure 25. The measurement circuit made use of a virtual op-amp and the settings 

used in the virtual Op-amp is shown in Figure 27  and are based on the parameters 

obtained for the TL081BCD datasheet. The hydrogel pads impedances were also 

added in series to Voltage Follower inputs. 

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resistor was placed between the DC ground node and ground and was used to 

represent the air gap between the participant and the ground plane. The value of 

100 0ȍ  ZDV  FKRVHQ  IURP  D  UDQJH  EHWZHHQ      0ȍ  DQG        *ȍ  ZKLFK  are 

respectively ground separation and power line separation impedances of a person 

standing in a middle of a room obtained from Serrano et. al. [39]. 



 

Page 46 of 113 

 

 

Figure 26 ± EMI Measurement System Circuit Model. VCC and VEE are powered by the lithium batteries 

 

Figure 27 ± Virtual Op-Amp Settings 



 

Page 47 of 113 

 

PCB design for Voltage Followers  

The PCB for the measurement sensor was designed in EAGLE (version 9.5.2) and 

is shown in Figure 28. The footprint size for the resistor and capacitors were 1206. 

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Figure 28 ± PCB design for the Measurement sensor 

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the inputs of the two voltage followers. The holes mounted female press-studs and 

therefore able to fasten onto the male press-studs of hydrogel electrodes. The 

centres of the 5.5 mm holes were 32 mm apart so that two hydrogel pads can be 

positioned side by side without overlapping. 

The terminals of the batteries were connected to wires that are soldered on the pads 

on the top-left. The isolated VCC and VEE for the op-amps require jumper wires to 

connect them to the battery bus. The yellow lines in Figure 28 indicate the jumper 

wire relationship.  

The pad below E$23 was used to attach the wire that connects to the elbow electrode 

to the DC ground bus. 

To minimise inductive coupling noise in the sensor, a shielded seven-core cable 

was used to connect the PCB to the batteries and the oscilloscope. The two 

unmarked holes on the left were used to fasten down the cable to prevent strain on 

WKH 3&%¶V SDGV, and thus prevent jitter from loose wires or contacts. 



 

Page 48 of 113 

 

 Experiment Procedure  

The experiment had three parts: The participant preparation, participant parameter 

measurements, and the experimental measurements. 

4.2.1. Preparation 

7KH DUHDV RQ WKH SDUWLFLSDQW¶V ULJKW DUP ZKHUH the hydrogel electrode pads were to 

be placed were cleaned using alcohol cleansing pads to provide the best adhesion 

between the hydrogel electrode pads and the skin. As mentioned in the literature 

review, the gentle cleaning of the skin surface reduces skin impedance.  

The two hydrogel electrodes were placed on the bicep of the ULJKW DUP¶V such that 

the span between the proximal electrode on the bicep and the shoulder would be 

equidistant to the span between the distal electrode on the bicep and the elbow. The 

reference hydrogel electrode was placed on the right elbow¶V bone. 

4.2.2. Participant Parameter measurements 

The participant parameter measurements comprised of taking dimensional 

measurements and the H2H impedance measurements of the participants. 

Dimensional Measurements 

Dimensional measurements were recorded to enable calculations to be made using 

Equations (12) to (15), from Section 3.2.5, for each participant. The dimensional 

measurements recorded are listed below and shown in Figure 29.  

x Hand-to-hand arm span, 

x Hand widths (taken in the middle of the palm where the width is the widest), 

x The span between Elbow electrode to Electrode A (Span A), and 

x The span between Shoulder to Electrode B (Span B). 



 

Page 49 of 113 

 

The distance between the two electrode centres was always 32 mm due to the 

distance between the press-stud connectors on the sensor PCB 

 

Figure 29 ± Pre-Experiment measurements of Body Parameter  A) Measurement of placement of the 

electrodes (marked with blue dots) and arms span. Human body outline adapted from Clker-Free-Vector-

Images [29]. B) Measurement region of hand width. Palm image was available through Creative Commons 

Licence [61] 

Hand to Hand Impedance Measurement Setup 

An H2H impedance measurement experiment was devised to estimate the 

impedance that would occur when grasping the flat power cable. Like the H2H 

impedance measurement system described in Chinen et. al. [62], the devised 

experiment used copper tape wrapped around a 2 × 0.75 mm2, flat power cable to 

make grasping surfaces for each hand. These surfaces are intended to mimic the 

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Each of the copper pieces joined lead wires that connected to each of the LCR meter 

terminals. When the participant grasps both the copper pieces with each hand, it 

would close the path between the plates and impedance can be measured by the 

inductance, capacitance and resistance (LCR) meter.  



 

Page 50 of 113 

 

The pieces of copper tape had the dimensions of 20 mm × 150 mm. When these 

pieces were wrapped, there would be a 5 mm overlap which allows soldering a 

seam. Figure 30 is the hand-to-KDQG LPSHGDQFH PHDVXUHPHQW VHWXS  $ ³7(&3(/ 

/&5     ´  /&5  PHWHU  ZDV  XVHG  WR  PHDVXUH  the series resistance and series 

capacitance of the participants. 

It was expected that the participants will grasp the copper surfaces with a 

comfortable, medium force grasp as shown in Figure 31. Similar to the literature on 

hydrogel pads, closing the skin surfaces from open-air increases skin moisture 

retention and thus reduces the resistance, and increases the capacitan