Harmonic Currents
ITS Intertek Testing Services (Boxborough, MA)
Power line harmonics is just one of the many
power quality issues that arise with public utilities.
Effectively, current harmonics represent a distortion
of the normal sine wave provided by the utility.
When a product such as an SCR switched load or
a switching power supply distorts the current,
harmonics at multiples of the power line frequency
are generated. Two significant consequences arise
as a result of harmonic generation. First, because
of finite impedances of power lines, voltage variations
are generated that other equipment on the line
must tolerate. Second, when generated in a three-phase
system, harmonics may cause overheating of neutral
lines.
Power line harmonics are generated when
a load draws a non-linear current from a sinusoidal
voltage. The harmonic component is an element
of a Fourier series which can be used to define
any periodic waveshape. The harmonic order or
number is the integral number defined by the ratio
of the frequency of the harmonic to the fundamental
frequency (e.g., 150 Hz is the third harmonic
of 50 Hz; n = 150/50). A second harmonic is therefore
two times the fundamental frequency of the supply
line volt current. If the supply voltage had been
generated by an ideal source (zero impedance),
the current distortion would have little effect
on the supply voltage sine wave. However, because
a power system has a finite impedance, the current
distortion caused by a nonlinear load creates
a corresponding voltage distortion in the supply
lines. This voltage distortion can subsequently
disrupt operation of other sensitive equipment
connected to the same line. Voltage distortion
can also cause motors operating on the line to
overheat.
Because neutral lines are not fused or
protected by circuit breakers, overheating of
neutral conductors in a three-phase line can be
a significant safety hazard. Such damaging occurrences
are usually attributable to the use of single-phase
loads attached to three-phase/single-phase wiring
systems. Excessive neutral current is caused by
the existence of "triplen" harmonics, which add
in series in the neutral line. Triplen harmonics
are those harmonics that are an integral multiple
of three times the fundamental. In three-phase,
four-wire systems, each of the three phases is
separated in phase by multiples of 120°.
Triplen harmonics have relative amplitudes that
are also 120° out of phase with the fundamental.
Therefore, these harmonics, when drawn from the
single phase lines, can add together in phase
to cause neutral currents that exceed the phase
current. While the individual phase currents are
less than the circuit breaker protection current,
the neutral current caused by the triplen harmonics
may exceed the current rating of the wire used.
1.Determine the operating class
of equipment under test.
2.Utilize flowchart in Figure
2.
3.Balance three-phase loads
or those which draw the same current in
all three phases (resistive or inductive
loads may readily be classified as balanced,
active loads typically draw current from
one of three phases, and must intentionally
be balanced by the design).
4.Any equipment not falling
under Class B or C Class or balance three-phase
equipment, must be evaluated to determine
classification as Class A or Class D.
5.Determine voltage and current
requirement of the EUT.
6.Connect the EUT to the
power source.
7.Determine the average power
dissipated by the EUT.
8.Power should be monitored
over a full cycle of the equipment.
9.In the case of lighting
equipment (Class C) it is necessary to
determine the power factor of the equipment
(W/VA; cosM).
10.Evaluate the current waveform
to determine if it satisfies the Class
D waveshape envelope (see Figure 1).
11.Equipment active input
power must be ¾600 W to apply Class
D limits.
12.Determine whether the
absolute limit (ampere) or a relative
limit (milliampere per watt) is applicable.
13.Equipment operating between
75 W and 600 W must comply with both the
relative and the absolute limit. Equipment
operating at less than 75 W is not required
to comply with the relative limit. (Future
revisions may adjust that limitation to
50 W).
14.Measure quasistationary
harmonics over an extended period of time
of operation of the EUT. These harmonics
must comply with the appropriate limits.
15.Measure fluctuating harmonics
on equipment which goes through several
different cycles, drawing different levels
of current (microwave ovens and other
intermittent loads).
|
The National Electrical Code requirements prohibit
installing fuses or circuit breakers in the neutral
line, so the neutral cannot be protected against
the excessive currents generated and may overheat.
Therefore in the absence of controls on harmonic
currents, neutral conductors must be sized larger
than phase conductors to prevent overheating.
The original IEC document covering power
line harmonic distortion, IEC 555-2, limited the
applicability of the requirements to nonprofessional
devices. This document, sourced by IEC subcommittee
77, covers single-phase circuits up to 240 V and
three-phase circuits up to 415 V at both 50 Hz
and 60 Hz operations. Limits are set only for
220/380 volts, 230/400 volts, and 240/415 V at
50 Hz.
IEC 555-2 was originally published in 1982.
Amendment one was published in October 1985. CENELEC
adopted IEC 555 in its document EN 60555-2 in
April of 1987. Part 2 of the CENELEC document
was identical to the original IEC 555-2. A withdrawal
date of June 1, 1987, was specified for this document
meaning that members of the European Union were
required to implement procedures for requiring
performance in accordance with EN 60555-2 by that
date. In adopting IEC 555-2, CENELEC also adopted
the scope of the document without change. In other
words, only equipment designed for nonprofessional
uses were covered by the requirements of the standard.
The standard specifically excludes any professional
use equipment.
In March of 1995, the IEC published document
IEC 1000-3-2 (also sourced by Technical Committee
77). The primary difference between IEC 1000-3-2
and its predecessors is its scope of applicability.
IEC 1000-3-2 is "...applicable to electrical and
electronic equipment having an input current up
to and including 16 A per phase...." IEC 1000-3-2
was published by CENELEC as document EN 61000-3-2
in 1995 and harmonized to the EMC Directive.
The general requirement in IEC 1000-3-2
prohibits power control systems that generate
low-frequency harmonics. Specifically, systems
that generate switching operations less than or
equal to 40 times in a half cycle are prohibited
in the control of power supplied to heating elements
and thermal devices. This relates to equipment
that has power current control in the form of
SCRs. The SCR provides phase control of the voltage
applied to the device and therefore limits the
power dissipated. Resistive motor controllers
or controllers designed to operate on 200 W or
less are exempted from this requirement as long
as they meet maximum harmonic specifications listed
in Table I. The specifications set special limits
for portable tools and lighting equipment. For
portable tools, the limit is equivalent to 1.5
times the standard limits. The limits for lighting
equipment are shown in Table II. For all other
general types of equipment, the limits listed
in Table I apply to all types of power connection.
|
Harmonic Order (n)
|
Maximum Permissible
Harmonic Current (A)
|
|
Odd Harmonics
|
|
3
|
2.30
|
|
5
|
1.44
|
|
7
|
0.77
|
|
9
|
0.40
|
|
11
|
0.33
|
|
13
|
0.21
|
|
15 < n <
39
|
0.15 x 15/n
|
|
Even Harmonics
|
|
2
|
1.08
|
|
4
|
0.43
|
|
6
|
0.30
|
|
8 < n <
40
|
0.23 x 8/n
|
| Table I. Low-frequency harmonic
emissions limits for Class A equipment.
|
|
Harmonic Order (n)
|
Maximum Permissible
Harmonic Current Expressed as a Percent
of the Input Current at the Fundamental
Frequency (%)
|
|
2
|
2
|
|
3
|
30  *
|
|
7
|
10
|
|
9
|
7
|
|
13
|
5
|
|
11 < n <
39
(odd harmonics only)
|
3
|
* 
is the circuit power factor
|
| Table II. Low-frequency harmonic
emissions limits for Class C equipment. |
|
Harmonic Order (n)
|
Maximum Permissible
Harmonic Current per Watt (mA/W)
|
Maximum Permissible
Harmonic Current (A)
|
|
2
|
3.4
|
2.30
|
|
5
|
1.9
|
1.14
|
|
7
|
1.0
|
0.77
|
|
9
|
0.5
|
0.40
|
|
13
|
0.35
|
0.33
|
|
11 < n <
39
(odd harmonics only)
|
3.85/n
|
See Table I
|
| Table III. Low-frequency
harmonic emissions limits for Class D equipment.
|
The limits listed in Table I are specified for
power voltages of 230 V line to neutral and 440
V line to line. Operation at different voltages
must use a correction factor determined by dividing
the test voltage by 230 V or 440 V. The limits
are applicable whether the harmonics are transitory
or steady-state in nature, except for nonrepetitive
currents lasting for no more than a few seconds.
When published in the Official Journal,
EN 61000-4-3 included no extended dates of implementation,
which implies that the standard should become
applicable immediately upon publication. Most
manufacturers have not addressed harmonic requirements
in any of their designs, so publication of this
document created significant hardships for many
of them. As a result, an amendment to the document
was proposed, but never published, which extended
the applicability date (date of withdrawal) to
June 1, 1998. Amendments A1 and A2 were published
in the Official Journal on February 27,
1999, extending the date of withdrawal to January
1, 2001. On the date of withdrawal, all manufacturers
of electronic equipment will be required to meet
the harmonic limits. The standard allows that
all products that did not fall under the scope
of EN 60555-2 but are now covered by EN 61000-3-2
are exempt from the requirement until that time.
For products that fall under the scope of EN 60555-2,
transitional rules apply. For the most part, because
EN 60555-2 applies, it is appropriate to do harmonic
measurements in accordance with that standard.
Some competent bodies have interpreted the transition
period to mean that any product that falls under
the original scope of EN 60555-2 must prepare
a TCF to demonstrate compliance with the new requirement
of EN 61000-3-2 until the transition period expires.
EN 61000-3-2 sets requirements for the
purity of the test source. The requirements for
a source apply to the voltage as follows:
-
Test voltage shall be within ±2%
and frequency within ±0.5% of the nominal
voltage (either rated voltage or 230 V/400
V for a voltage range).
-
Phase angle between phases in
a three-phase system shall be 120° ±1.5°.
-
Harmonic ratios of test voltage
shall not exceed the following values with
the EUT connected:
0.9% for harmonic order 3.
0.4% for harmonic order
5.
0.3% for harmonic order
7.
0.2% for harmonic order
9.
0.2% for even harmonics
of order from 2 to 10.
0.1% for harmonics of order
from 11 to 40.
Several types of test equipment can be
used to measure harmonics. These include frequency
domain instrumentation such as spectrum analyzers
or time domain instrumentation using discrete
Fourier transform algorithms. Some requirements
common to all instrumentation are
-
Total error shall not exceed
5% of the limit or 0.2% of the rated current
of the test equipment, whichever is greater.
-
Capability for smoothing equivalent
to a first-order low-pass filter with a time
constant of 1.5 seconds (±10%).
-
Frequency domain device must
attenuate both the fundamental (60 dB) and
harmonics greater than n = 2 (15 dB to 30
dB) for steady-state harmonics.
-
Frequency domain device must
use a bandwidth of 310 Hz, with 3±0.5
Hz required for harmonics near the limit.
-
Time domain devices (DFT) must
use a measuring window of 430 cycles,
including an integral number of cycles.
-
DFT must use antialiasing filters
with at least 50 dB attenuation.
-
DFT must have specific synchronization
and overlap requirements for the measurement
window depending on type of window selected.
Requirements for the measurement device
are defined in Annex 3 of the standard. Several
devices are available that comply with these requirements,
including one that consists of a compliant power
source as well as the measurement capability.