EN 62226-3-1:2007

Exposure to electric or magnetic fields in the low and intermediate frequency range - Methods for calculating the current density and internal electric field induced in the human body - Part 3-1: Exposure to electric fields - Analytical and 2D numerical models

Applies to the frequency range for which exposure limits are based on the induction of voltages or currents in the human body when exposed to electric fields. Defines in detail the coupling factor K - introduced by the IEC 62226 series to enable exposure assessment for complex exposure situations, such as non-uniform magnetic field or perturbed electric field - for the case of simple models of the human body, exposed to uniform electric fields. The coupling factor K has different physical interpretations depending on whether it relates to electric or magnetic field exposure. It is the so called 'shape factor for electric field'. This part of IEC 62226 can be used when the electric field can be considered to be uniform, for frequencies up to at least 100 kHz. This situation of exposure to a 'uniform' electric field is mostly found in the vicinity of high voltage overhead power systems. For this reason, illustrations given in this part are given for power frequencies (50 Hz and 60 Hz).

Sicherheit in elektrischen oder magnetischen Feldern im niedrigen und mittleren Frequenzbereich - Verfahren zur Berechnung der induzierten Körperstromdichte und des im menschlichen Körper induzierten elektrischen Feldes - Teil 3-1: Exposition gegenüber elektrischen Feldern - Analytische Modelle und numerische 2D-Modelle

Exposition aux champs électriques ou magnétiques à basse et moyenne fréquence - Méthodes de calcul des densités de courant induit et des champs électriques induits dans le corps humain - Partie 3-1: Exposition à des champs électriques - Modèles analytiques et numériques 2D

S'applique à la gamme de fréquences pour laquelle les limites d'exposition sont fondées sur des tensions ou des courants induits dans le corps humain, quand il est exposé aux champs électriques. Définit le facteur de forme K - introduit par la série CEI 62226 pour permettre l'évaluation de l'exposition dans des situations d'expositions complexes, telles qu'un champ magnétique non uniforme ou un champ électrique perturbé - pour les cas de modèles simples de corps humain, exposé à des champs électriques uniformes. Le facteur de couplage K peut avoir différentes interprétations physiques selon qu'il se réfère à l'exposition à un champ électrique ou magnétique. Il est aussi appelé 'facteur de couplage pour champ électrique'. La présente partie de la CEI 62226 peut être utilisée quand le champ électrique peut être considéré comme uniforme, pour des fréquences jusqu'à au moins 100 kHz. Cette situation d'exposition à un champ électrique 'uniforme' se trouve principalement à proximité des systèmes aériens d'alimentation électrique à haute tension. Pour cette raison, les illustrations données dans cette section sont aux fréquences industrielles (50 Hz et 60 Hz).

Izpostavljenost električnim in magnetnim poljem v nizkem in srednjem frekvenčnem obsegu - Metode za izračunavanje trenutne gostote in notranjega induciranega električnega polja v človeškem telesu - 3-1. del: Izpostavljenost magnetnim poljem - Analitični in numerični 2D modeli (IEC 62226-3-1:2007)

Ta del standarda IEC 62226 se uporablja za frekvenčni obseg, za katerega mejne vrednosti izpostavljenosti temeljijo na indukciji napetosti ali tokov v človeškem telesu, izpostavljenem električnim poljem. Ta del podrobno določa faktor sklopa K, predstavljen v skupini standardov IEC 62226 za oceno izpostavljenosti v zapletenih primerih izpostavljenosti (na primer pri neenakomernem magnetnem polju ali motenem električnem polju), za primer preprostih modelov človeškega telesa, izpostavljenega enakomernemu električnemu polju. Faktor sklopa K vključuje različne fizikalne razlage glede na to, ali gre za električno ali magnetno polje izpostavljenosti. Gre za tako imenovani »oblikovni faktor za električno polje«. Ta del standarda IEC 62226 se lahko uporablja, kadar se lahko električno polje obravnava kot enakomerno, za frekvence do vsaj 100 kHz. Do te izpostavljenosti »enakomernemu« električnemu polju običajno pride v bližini nadzemnih visokonapetostnih omrežnih sistemov. Zaradi tega so slike v tem delu standarda podane za omrežne frekvence (50 Hz in 60 Hz).

General Information

• Status: Published
• Publication Date: 20-Sep-2007
• Withdrawal Date: 31-Aug-2010
• ICS: 17.220.20 - Measurement of electrical and magnetic quantities
• Technical Committee: CLC/TC 106X - Electromagnetic fields in the human environment
• Drafting Committee: IEC/TC 106 - IEC_TC_106
• Parallel Committee: IEC/TC 106 - IEC_TC_106
• Current Stage: 6060 - Document made available - Publishing
• Start Date: 21-Sep-2007
• Completion Date: 21-Sep-2007
• Ref Project: SIST EN 62226-3-1:2008 - Exposure to electric or magnetic fields in the low and intermediate frequency range - Methods for calculating the current density and internal electric field induced in the human body -- Part 3-1: Exposure to electric fields - Analytical and 2D numerical models

Relations

• Amended By: EN 62226-3-1:2007/A1:2017 - Exposure to electric or magnetic fields in the low and intermediate frequency range - Methods for calculating the current density and internal electric field induced in the human body - Part 3-1: Exposure to electric fields - Analytical and 2D numerical models
• Effective Date: 26-Jan-2023

Standards Content (Sample)

SLOVENSKI STANDARD
01-januar-2008
,]SRVWDYOMHQRVWHOHNWULþQLPLQPDJQHWQLPSROMHPYQL]NHPLQVUHGQMHP
IUHNYHQþQHPREVHJX0HWRGH]DL]UDþXQDYDQMHWUHQXWQHJRVWRWHLQQRWUDQMHJD
LQGXFLUDQHJDHOHNWULþQHJDSROMDYþORYHãNHPWHOHVXGHO,]SRVWDYOMHQRVW
PDJQHWQLPSROMHP$QDOLWLþQLLQQXPHULþQL'PRGHOL,(&
Exposure to electric or magnetic fields in the low and intermediate frequency range -
Methods for calculating the current density and internal electric field induced in the
human body - Part 3-1: Exposure to electric fields - Analytical and 2D numerical models
Sicherheit in elektrischen oder magnetischen Feldern im niedrigen und mittleren
Frequenzbereich - Verfahren zur Berechnung der induzierten Körperstromdichte und des
im menschlichen Körpers induzierten elektrischen Feldes - Teil 3-1: Exposition
gegenüber elektrischen Feldern - Analytische Modelle und numerische 2D-Modelle
Exposition aux champs électriques ou magnétiques a basse et moyenne fréquence -
Méthodes de calcul des densités de courant induit et des champs électriques induits
dans le corps humain - Partie 3-1: Exposition a des champs électriques - Modeles
analytiques et numériques 2D
Ta slovenski standard je istoveten z: EN 62226-3-1:2007
ICS:
17.220.20 0HUMHQMHHOHNWULþQLKLQ Measurement of electrical
PDJQHWQLKYHOLþLQ and magnetic quantities
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EUROPEAN STANDARD
EN 62226-3-1
NORME EUROPÉENNE
September 2007
EUROPÄISCHE NORM
ICS 17.220.20
English version
Exposure to electric or magnetic fields
in the low and intermediate frequency range -
Methods for calculating the current density
and internal electric field induced in the human body -
Part 3-1: Exposure to electric fields -
Analytical and 2D numerical models
(IEC 62226-3-1:2007)
Exposition aux champs électriques  Sicherheit in elektrischen
ou magnétiques à basse oder magnetischen Feldern im niedrigen
et moyenne fréquence - und mittleren Frequenzbereich -
Méthodes de calcul des densités Verfahren zur Berechnung der induzierten
de courant induit et des champs électriques Körperstromdichte und des im menschlichen
induits dans le corps humain - Körpers induzierten elektrischen Feldes -
Partie 3-1: Exposition Teil 3-1: Exposition gegenüber
à des champs électriques - elektrischen Feldern -
Modèles analytiques et numériques 2D Analytische Modelle
(CEI 62226-3-1:2007) und numerische 2D-Modelle
(IEC 62226-3-1:2007)
This European Standard was approved by CENELEC on 2007-09-01. CENELEC members are bound to comply
with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard
the status of a national standard without any alteration.

Up-to-date lists and bibliographical references concerning such national standards may be obtained on
application to the Central Secretariat or to any CENELEC member.

This European Standard exists in three official versions (English, French, German). A version in any other
language made by translation under the responsibility of a CENELEC member into its own language and notified
to the Central Secretariat has the same status as the official versions.

CENELEC members are the national electrotechnical committees of Austria, Belgium, Bulgaria, Cyprus, the
Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia,
Lithuania, Luxembourg, Malta, the Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain,
Sweden, Switzerland and the United Kingdom.

CENELEC
European Committee for Electrotechnical Standardization
Comité Européen de Normalisation Electrotechnique
Europäisches Komitee für Elektrotechnische Normung

Central Secretariat: rue de Stassart 35, B - 1050 Brussels

© 2007 CENELEC - All rights of exploitation in any form and by any means reserved worldwide for CENELEC members.
Ref. No. EN 62226-3-1:2007 E
Foreword
The text of document 106/125/FDIS, future edition 1 of IEC 62226-3-1, prepared by IEC TC 106, Methods
for the assessment of electric, magnetic and electromagnetic fields associated with human exposure, was
submitted to the IEC-CENELEC parallel vote and was approved by CENELEC as EN 62226-3-1 on
2007-09-01.
This European Standard is to be used in conjunction with EN 62226-1:2005.
The following dates were fixed:

– latest date by which the EN has to be implemented

at national level by publication of an identical
(dop) 2008-06-01
national standard or by endorsement

– latest date by which the national standards conflicting
(dow) 2010-09-01
with the EN have to be withdrawn
__________
Endorsement notice
The text of the International Standard IEC 62226-3-1:2007 was approved by CENELEC as a European
Standard without any modification.
__________
INTERNATIONAL IEC
STANDARD
CEI
62226-3-1
NORME
First edition
INTERNATIONALE
Première édition
2007-05
Exposure to electric or magnetic fields
in the low and intermediate frequency range –
Methods for calculating the current density and
internal electric field induced in the human body –
Part 3-1:
Exposure to electric fields –
Analytical and 2D numerical models

Exposition aux champs électriques ou
magnétiques à basse et moyenne fréquence –
Méthodes de calcul des densités de courant
induit et des champs électriques induits dans
le corps humain –
Partie 3-1:
Exposition à des champs électriques –
Modèles analytiques et numériques 2D
PRICE CODE
XA
CODE PRIX
Commission Electrotechnique Internationale
International Electrotechnical Commission
МеждународнаяЭлектротехническаяКомиссия
For price, see current catalogue
Pour prix, voir catalogue en vigueur

– 2 – 62226-3-1 © IEC:2007
CONTENTS
FOREWORD.5
INTRODUCTION.7

1 Scope.8
2 Exposure to electric field .8
3 General procedure.11
3.1 Shape factor.11
3.2 Procedure .11
4 Human body models .12
4.1 General .12
4.2 Surface area .12
4.3 Semi-spheroidal model.13
4.4 Axisymmetrical body model .15
5 Calculation of induced current .16
5.1 General .16
5.2 Semi-spheroid .16
5.3 Axisymmetrical models .20
5.4 Comparison of the analytical and numerical models .27
6 Influence of electrical parameters .27
6.1 General .27
6.2 Influence of permittivity .27
6.3 Influence of conductivity.28
6.4 Non-homogeneous conductivity.28
7 Measurement of currents induced by electric fields.28
7.1 General .28
7.2 Current flowing to the ground .28

Annex A (normative) Analytical solutions for a spheroid in a uniform electric field.30
Annex B (normative) Human body axisymmetrical model .33
Annex C (informative) Child body model .38
Annex D (informative) Example of use of this standard .40
Annex E (informative) Numerical calculation methods .44

Bibliography.52

Figure 1 – Illustration of the phenomenon of currents induced by electric field in a
human body standing on the ground .10
Figure 2 – Potential lines of the electric field generated by an energised wire in the
absence of any objects (all distances in metres) .10
Figure 3 – A realistic body model .12
Figure 4 – Scheme of the semi-spheroid simulating a human being standing on a zero
potential plane .13
Figure 5 – Equivalent spheroid radius, R, versus height, L, and for different mass, M .15
Figure 6 – The axisymmetrical body model for the reference man (left) and woman
(right).15

62226-3-1 © IEC:2007 – 3 –
Figure 7 – Conductive spheroid exposed to electric field.16
Figure 8 – Calculation of the shape factor for electric field K for an spheroid exposed
E
to an unperturbed electric field.17
Figure 9 – Current density J induced by an unperturbed electric field (1 kV/m, 50 Hz)
S
in a spheroid versus parameter L/R (values in µA/m²).18
Figure 10 – Dimensions and mesh of the semi-spheroid .19
Figure 11 – Distortion of power frequency electric field lines close to the conductive
semi-spheroid .19
Figure 12 – Calculated induced current density J (h) in the body standing in a vertical
A
50 Hz electric field of 1 kV/m .21
Figure 13 – Computation domain .23
Figure 14 – Mesh of the man body model and distortion of power frequency electric
field lines close to model.23
Figure 15 – Distribution of potential lines and 50 Hz electric field magnitude (man
model) .24
Figure 16 – Computation of induced currents J along a vertical axis, and distribution
A
of induced currents in the man model at 50 Hz .24
Figure 17 – Mesh of the woman body model and distortion of power frequency electric
field lines close to model.25
Figure 18 – Distribution of potential lines and 50 Hz electric field magnitude (woman
model) .26
Figure 19 – Computation of induced currents J along a vertical axis, and distribution
A
of induced currents in the woman model at 50 Hz .26
Figure A.1 – Conductive spheroid exposed to electric field .30
Figure B.1 – Normalised axisymmetrical models. Left: man, Right: woman .35
Figure C.1 – Computation of induced currents J along a vertical axis, and distribution
Z
of induced currents in the 10 years reference child model.39
Figure E.1 – Spheroid model.45
Figure E.2 – Space potential model .46
Figure E.3 – Exemple of charge simulation method using rings.47
Figure E.4 – Superficial charges integral equation method, cutting of the body into N
elements.48
Figure E.5 – Mesh of the body using finite element method .49
Figure E.6 – Impedance method .50
Figure E.7 – Yee-method: Electric an
...