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77A/562/CDV
COMMITTEE DRAFT FOR VOTE (CDV)
PROJET DE COMITÉ POUR VOTE (CDV)
Project number IEC 61000-4-7 A1 Ed.2
Numéro de projet
IEC/TC or SC:
Secretariat / Secrétariat
77A
CEI/CE ou SC:
France
Submitted for parallel voting in Date of circulation Closing date for voting (Voting
CENELEC Date de diffusion mandatory for P-members)
Date de clôture du vote (Vote
2006-12-22
obligatoire pour les membres (P))
Soumis au vote parallèle au
CENELEC 2007-05-25
Also of interest to the following committees Supersedes document
Intéresse également les comités suivants Remplace le document
77A/527/CD, 77A/550/CC
Functions concerned
Fonctions concernées
Safety EMC Environment Quality assurance
Sécurité
CEM Environnement Assurance qualité
CE DOCUMENT EST TOUJOURS À L'ÉTUDE ET SUSCEPTIBLE DE THIS DOCUMENT IS STILL UNDER STUDY AND SUBJECT TO CHANGE. IT
MODIFICATION. IL NE PEUT SERVIR DE RÉFÉRENCE. SHOULD NOT BE USED FOR REFERENCE PURPOSES.
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PRÉSENTER, AVEC LEURS OBSERVATIONS, LA NOTIFICATION DES COMMENTS, NOTIFICATION OF ANY RELEVANT PATENT RIGHTS OF
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CONNAISSANCE ET À FOURNIR UNE DOCUMENTATION EXPLICATIVE. DOCUMENTATION.

Titre : Amendement à la CEI 61000-4-7 : Title : Amendment to IEC 61000-4-7 Ed.2:
Compatibilité électromagnétique (CEM) – Electromagnetic compatibility (EMC) : Testing
Techniques d’essai et de mesures – Guide and measurement techniques - General guide on
général relatif aux mesures d’harmoniques et harmonics and interharmonics measurements
d’interharmoniques, ainsi qu’à l’appareillage de and instrumentation, for power supply systems
mesure, applicable aux réseaux d’alimentation and equipment connected thereto
et aux appareils qui y sont raccordés

Note d'introduction Introductory note
The French version will be circulated later

ATTENTION ATTENTION
VOTE PARALLÈLE IEC – CENELEC
CEI – CENELEC PARALLEL VOTING
L’attention des Comités nationaux de la CEI, membres du The attention of IEC National Committees, members of
CENELEC, est attirée sur le fait que ce projet de comité CENELEC, is drawn to the fact that this Committee Draft for
pour vote (CDV) de Norme internationale est soumis au Vote (CDV) for an International Standard is submitted for
vote parallèle. parallel voting.
Un bulletin de vote séparé pour le vote CENELEC leur sera A separate form for CENELEC voting will be sent to them by
envoyé par le Secrétariat Central du CENELEC. the CENELEC Central Secretariat.

permitted to download this electronic file, to make a copy and to print out the content for the sole
purpose of preparing National Committee positions. You may not copy or "mirror" the file or
printed version of the document, or any part of it, for any other purpose without permission in
writing from IEC.
FORM CDV (IEC) 2005-09-23
61000-4-7 A1 Ed.2/CDV © IEC         –  2 –
1 FOREWORD
2 This amendment has been prepared by subcommittee 77A: Low Frequency Phenomena,
3 of IEC technical committee 77: Electromagnetic Compatibility.
4 The text of this amendment is based on the following documents:
FDIS Report on voting
77A/XX/FDIS //A/XX/RVD
6 Full information on the voting for the approval of this amendment can be found in the
7 report on voting indicated in the above table.
8 The committee has decided that the contents of this amendment and the base publication
)
9 will remain unchanged until the maintenance result date indicated on the IEC web site
10 under "http://webstore.iec.ch" in the data related to the specific publication. At this date,
11 the publication will be
12 • reconfirmed,
13 • withdrawn,
14 • replaced by a revised edition, or
15 • amended.
16 _____________
)
The National Committees are requested to note that for this publication the maintenance result date is
61000-4-7 A1 Ed.2/CDV © IEC         –  3 –
17 Page 15 and 17
18 Replace 3.1, by
19 Notations: The following notations are used in the present guide for the Fourier series
20 development because it is easier to measure phase angles by observations of the zero
21 crossings:
∞
k
⎛⎞
23 ft() c c sin ωt ϕ (1)
=+ +
0k∑ 1 k
⎜⎟
N
⎝⎠
k1=
24 In 3.1, replace equation system (2) by
⎧
cb=+ja= a+b
kk k k k
⎪
c
⎪
k
Y =
C,k
⎪
⎪
⎪ ⎛⎞ ⎛⎞
aa
kk
ϕπ=+ arctan if bb< 0 ϕ = arctan if > 0
kk⎜⎟ k ⎜⎟ k
⎪
bb
kk
⎝⎠ ⎝⎠
⎪
25 with: (2)
⎨
ππ
ϕϕ== if ba0 and > 0 =− if ba= 0 and < 0
⎪
kk k k k k
⎪
⎪ϕε=≤0 if ba < and ε,
kk ε
⎪
with εε = 0,05% U and = 0,15% I
nom nom
⎪
⎪
or   εε = 0,15% UI and = 0,5%
nom nom
⎪
respectively, see Table 1 in 61000-4-7 Ed.2
⎩
26 In 3.1, replace equation system (3) by
T
N
⎧
2k
⎛⎞
bf=×()t sin ωtdt
⎪
k1⎜⎟
∫
TN
⎝⎠
N
⎪ 0
T
⎪
N
2k
⎪ ⎛⎞
27 and:  (3)
af=×()t cos ωtdt
⎨
k1⎜⎟
∫
TN
⎝⎠
N 0
⎪
T
⎪
N
⎪
cf= ()tdt
∫
⎪ T
N 0
⎩
29 and replace the list of symbols below equation (3) by:
30 ω is the angular frequency of the fundamental (ωπ= 2 f );
1H,1
31 T is the width (or duration) of the time window; the time window is that time span of a
N
32 time function over which the Fourier transform is performed;
33 c is the d.c. component;
k
34 c is the amplitude of the component with frequency f = f ;
k
C,k H,1
N
61000-4-7 A1 Ed.2/CDV © IEC         –  4 –
35 Y r.m.s. value of c ;
C,k k
37 f is the fundamental frequency of the power system;
H,1
38 k is the ordinal number (order of the spectral component) related to the frequency resolution
⎛⎞
39 f = .
⎜⎟
C,1
T
⎝⎠N
40 N is the number of fundamental periods within the window width;
41 ϕ phase angle of spectral line k
k
43 NOTE 1 - Strictly speaking these definitions apply to steady-state signals only. The Fourier series is actually
44 in most cases performed digitally, i.e. as a Discrete Fourier Transform DFT, or a variant thereof, being the
45 FFT.
46 The analogue signal f(t) which has to be analyzed is sampled, A/D-converted and stored. Each group of M
47 samples forms a time window on which DFT is performed. According to the principles of Fourier series
48 expansion, the window width T determines the frequency resolution f = 1/T (i.e. the frequency separation
N C,1 N
49 of the spectral components) for the analysis. Therefore the window width T must be an integer multiple N of
N
50 the fundamental period T of the system voltage: T = N × T . The sampling rate is in this case f = M/(NT )
1 N 1 s 1
51 (where M = Number of samples within T ).
N
52 Before DFT-processing, the samples in the time window are often weighted by multiplying them with a special
53 symmetrical function ('windowing function'). However, for periodic signals and synchronous sampling it is
54 preferable to use a rectangular weighting window which multiplies each sample by unity.
55 The DFT-processor yields the orthogonal Fourier-coefficients a and b of the corresponding spectral-
k k
56 component frequencies f = k/T , k= 0, 1, 2.M-1. However, only k values up to half of the maximum value
C,k N
57 are useful, the other half just duplicates them.
58 Under synchronized conditions, the component of harmonic order h related to the fundamental frequency f appears as the
H,1
59 spectral component of order k, where k = hN .
60 NOTE 2 – The Fast Fourier Transform FFT is a special algorithm allowing short computation times. It requires
i
61 that the number of samples M be an integer power of 2, M = 2 , with i ≥ 10 for example
62 NOTE 3 – The symbol Y is replaced, as required by the symbol I for currents, by the symbol U for voltages.
63 The index C qualifies the variable as spectral component
65 Replace 3.2.1 by:
66 Harmonic frequency
67 f
H,h
68 frequency which is an integer multiple of the fundamental frequency of the mains
69 frequency (f = h×f )
H,h H,1
71 NOTE 1  The harmonic frequency f is identical with the frequency component f with k = h×N
H,h C,k
73 Replace 3.2.2 by:
74 Harmonic order
75 h
76 (integer) ratio of a harmonic frequency to the fundamental frequency of the power
77 system.  In connection with the analysis using DFT and synchronisation between f and
H,1
78 f (sampling rate), the harmonic order h corresponds to the spectral component k = h×N
s
79 (k = number of the spectral component, N = number of periods of the fundamental
80 frequency in time T )
N
81 Replace 3.2.3, by:
61000-4-7 A1 Ed.2/CDV © IEC         –  5 –
82 r.m.s. value of a harmonic component
83 Y
H,h
84 r.m.s. value of one of the components having a harmonic frequency in the analysis of a
85 non-sinusoidal waveform
86 For brevity, such a component may be referred to simply as a “harmonic”
87 NOTE 1  The harmonic component Y is identical with the spectral component Y with k = h×N ;
H,h C,k
88 (Y = Y ). The symbol Y is replaced, as required by the symbol I for currents, by the symbol U for
H,h C,h×N
89 voltages. The index H qualifies the variable I or U as harmonic.
90 NOTE 2  For the purposes of this standard, the time window has a width of N=10 (50 Hz systems) or N=12
91 (60 Hz system) fundamental periods, i.e. approximately 200 ms (see 4.4.1), This yields Y = Y (50 Hz
H,h C,10×h
92 systems) and Y = Y (60 Hz systems).
H,h C,12×h
93 Page 19
94 Replace 3.2.4, by:
95 r.m.s. value of a harmonic group
96 Y
g,h
97 square root of the sum of the squares of the r.m.s. value of a harmonic and the spectral
98 components adjacent to it within the time window, thus summing the energy contents of
99 the neighbouring components with that of the harmonic proper. See also equation 8 and
100 Figure 4. The harmonic order is given by the harmonic considered.
101 NOTE 1 – The symbol Y is replaced, as required by the symbol I for currents, by the symbol U for voltages.
102 Replace 3.2.5, by:
103 r.m.s. value of a harmonic subgroup
104 Y
sg,h
105 square root of the sum of the squares of the r.m.s. value of a harmonic and the two
106 spectral components immediately adjacent to it. For the purpose of including the effect of
107 voltage fluctuation during voltage surveys, a subgroup of output components of the DFT
108 is obtained by summing the energy contents of the frequency components directly
109 adjacent to a harmonic with that of the harmonic proper. (See also equation 9 and
110 Figure 6). The harmonic order is given by the harmonic considered.
111 NOTE 1 – The symbol Y is replaced, as required by the symbol I for currents, by the symbol U for voltages.
112 Replace 3.3.1, by:
113 Total Harmonic Distortion
114 THD
Y
115 THD (symbol)
Y
116 ratio of the r.m.s. value of the sum of all the harmonic components (Y , ) up to a specified
H h
117 order (h ) to the r.m.s. of the fundamental component (H , ):
max H 1
h
max
⎛⎞
Y
H,h
118 THD = (4)
⎜⎟
∑
Y
Y
h2=
H,1
⎝⎠
120 NOTE 1 –The symbol Y is replaced, as required, by the symbol I for currents or by the symbol U for voltages.
121 NOTE 2 – The value of h is 40 if no other value is defined in a standard concerned with limits (IEC61000-3-series).
max
61000-4-7 A1 Ed.2/CDV © IEC         –  6 –
122 Replace 3.3.2, by:
123 Group total harmonic distortion
124 THDG
Y
125 THDG (symbol)
Y
126 ratio of the r.m.s. value of the harmonic groups (Y ) to the r.m.s. value of the group
g,h
127 associated with the fundamental (Y ):
g,1
h
max
⎛⎞
Y
g,h
128 THDG=≥        Where h 2  (5)
⎜⎟
∑
Y min
⎜⎟
Y
h
g ,1
min
⎝⎠
129 NOTE 1 –The symbol Y is replaced, as required, by the symbol I for currents or by the symbol U for voltages.
130 NOTE 2 –The value of h is 2 and that of h is 40 if no other values are defined in a standard concerned with limits (e.g.
min max
131 61000-3-series)
132 Page 21
133 Replace 3.3.3, by:
134 Sub-group total harmonic distortion
135 THDS
Y
136 THDS
Y
137 ratio of the r.m.s. value of the harmonic sub-groups (Y ) to the r.m.s. value of the sub-
sg,h
138 group associated with the fundamental (Y ):
sg,1
h
max
⎛⎞
Y
sg,h
139 THDS=≥         Where h 2  (6)
⎜⎟
∑
Y min
⎜⎟
Y
h
sg,1
min
⎝⎠
140 NOTE 2 –The value of h is 2 and that of h is 40 if no other values are defined in a standard concerned with limits (e.g.
min max
141 61000-3-series)
143 Replace 3.3.4, by:
144 Partial Weighted Harmonic Distortion
145 PWHD
H,Y
146 PWHD (symbol)
H,Y
147 ratio of the r.m.s. value, weighted with the harmonic order h, of a selected group of higher
148 order harmonics (from the order h to h ) to the r.m.s. value of the fundamental:
min max
h
max
⎛⎞
Y
H,h
149 PWHD = h (7)
⎜⎟
∑
H,Y
⎜⎟
Y
h=h
H,1
min⎝⎠
150 NOTE 1 The concept of partial weighted harmonic distortion is introduced to allow for the possibility of
151 specifying a single limit for the aggregation of higher order harmonic components. The partial weighted group
152 harmonic distortion, PWHD can be evaluated by replacing the quantity Y by the quantity Y . The partial
g,Y, H,h g,h
153 weighted sub-group harmonic distortion PWHD can be evaluated by replacing the quantity Y by the
sg,Y H,h
154 quantity Ysg,h. The type of PWHD (PWHDH,Y, PWHDg,Y or PWHDsg,Y) is defined in each standard which uses the PWHD, e.g.
155 in standards concerned with limits (IEC 61000-3-series).
156 NOTE 2  The values of h and h are defined in each standard which uses the PWHD , e.g. in standard
min max Y
157 concerned with limits (IEC61000-3-series).

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