Electromagnetic compatibility (EMC) - Part 1-7: General - Power factor in single-phase systems under non-sinusoidal conditions

IEC TR 61000-1-7:2016(E) provides definitions of various electrical power quantities and the relationship between them under non-sinusoidal conditions, in order to give clear information on both components in the power factor:
- the fundamental power factor, which is due to the phase difference between the voltage and current at the fundamental frequency, and
- the non-fundamental power factor, which is related to the distortion of the voltage and/or current. This Technical Report is applicable only to single-phase systems.

General Information

Status
Published
Publication Date
16-Feb-2016
Current Stage
PPUB - Publication issued
Start Date
15-May-2016
Completion Date
17-Feb-2016
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IEC TR 61000-1-7 ®
Edition 1.0 2016-02
TECHNICAL
REPORT
Electromagnetic compatibility (EMC) –
Part 1-7: General – Power factor in single-phase systems under non-sinusoidal
conditions
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IEC TR 61000-1-7 ®
Edition 1.0 2016-02
TECHNICAL
REPORT
Electromagnetic compatibility (EMC) –

Part 1-7: General – Power factor in single-phase systems under non-sinusoidal

conditions
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 33.100.01 ISBN 978-2-8322-3196-8

– 2 – IEC TR 61000-1-7:2016 © IEC 2016
CONTENTS
FOREWORD .4
INTRODUCTION .6
0.1 Series overview .6
0.2 Purpose of this document .6
1 Scope .8
2 Normative references .8
3 Terms and definitions .8
4 General . 14
5 Electric power quantities under non-sinusoidal conditions . 15
5.1 Voltages and currents . 15
5.1.1 Instantaneous values . 15
5.1.2 Reference fundamental components . 16
5.1.3 Total distortion contents . 16
5.1.4 RMS values of the voltage and current . 16
5.1.5 RMS values of total distortion contents . 17
5.1.6 DC ratios . 17
5.1.7 Total distortion ratios . 17
5.2 Instantaneous power . 18
5.3 Definitions related to the active power . 18
5.3.1 Active power . 18
5.3.2 DC power . 18
5.3.3 Fundamental active power . 19
5.3.4 Distortion active power . 19
5.4 Definitions related to the apparent power . 19
5.4.1 Apparent power . 19
5.4.2 Fundamental apparent power . 20
5.5 Definitions related to the power factor . 20
5.5.1 Power factor . 20
5.5.2 Fundamental power factor . 21
5.5.3 Non-fundamental power factor . 21
5.6 Summary . 21
6 Electric power quantities with a sinusoidal voltage and a current distorted only
with harmonics . 22
6.1 Voltages and currents . 22
6.1.1 Instantaneous values . 22
6.1.2 Fundamental components . 22
6.1.3 Harmonic content of the current . 23
6.1.4 RMS values of the voltage and current . 23
6.1.5 RMS value of the harmonic content of the current . 23
6.1.6 Total harmonic ratio of the current . 24
6.1.7 Fundamental factor . 24
6.2 Instantaneous power . 24
6.3 Active power . 24
6.4 Definitions related to the apparent power . 25
6.4.1 Apparent power . 25

6.4.2 Fundamental apparent power . 25
6.5 Definitions related to the power factor . 25
6.5.1 Power factor . 25
6.5.2 Fundamental power factor . 26
6.5.3 Non-fundamental power factor . 26
6.6 Summary . 27
Annex A (normative) Electric power quantities under sinusoidal conditions . 28
A.1 Instantaneous values of the voltage and current . 28
A.2 Instantaneous power . 29
A.3 Active power . 30
A.4 Reactive power . 30
A.5 Apparent power . 30
A.6 Power factor . 30
Annex B (informative) Fundamental active factor . 32
B.1 Fundamental active factor and its use . 32
B.2 Consumer convention . 32
Bibliography . 34

Figure A.1 – Illustration of the displacement angle (φ) when the voltage leads the
current, φ > 0 . 28
Figure A.2 – Illustration of the displacement angle (φ) when the voltage lags the
current, φ < 0 . 29
Figure B.1 – Consumer sign convention of the fundamental active factor, fundamental
active power and fundamental reactive power . 33

Table 1 – Summary of the power quantities under non-sinusoidal conditions . 21
Table 2 – Summary of the power quantities with a sinusoidal voltage and a current
distorted only with harmonics . 27

– 4 – IEC TR 61000-1-7:2016 © IEC 2016
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
ELECTROMAGNETIC COMPATIBILITY (EMC) –

Part 1-7: General – Power factor in single-phase systems
under non-sinusoidal conditions

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