[James_H._Harlow]_Electric_Power_Transformer_Engin(BookSee.org)
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They did have the advantage of little harmonic production, but they are less efficient than semiconductor<br />
devices. Nevertheless, they are still used in many applications today with diodes.<br />
The new problem presented by semiconductor technology was harmonic current. The operation of<br />
the semiconductor rectifier produces harmonic voltages and currents. The harmonic currents are at<br />
higher frequencies than the fundamental frequency of the transformer. These higher-frequency currents<br />
cause high levels of eddy-current losses and other stray losses in other parts of the transformer. This can<br />
create potentially high temperatures, which degrade the insulation of the transformer and can cause early<br />
failure of the transformer.<br />
Problems of failures were reported to the IEEE <strong>Power</strong> <strong>Engin</strong>eering Society <strong>Transformer</strong> Committee.<br />
These were typically hottest-spot failures in the windings. In 1981 a new standard began development.<br />
Rather than just updating the old mercury-arc rectifier standard, a new standard was created — ANSI/<br />
IEEE C57.18.10-1998, Practices and Requirements for Semiconductor <strong>Power</strong> Rectifier <strong>Transformer</strong>s. In<br />
a similar time frame, IEC developed its own standard, IEC 61378-1-1997, Convertor <strong>Transformer</strong>s —<br />
Part 1: <strong>Transformer</strong>s for Industrial Applications. The IEEE standard took an inordinate amount of time<br />
to develop due to the development of new products, new terminology, the definition of harmonics, the<br />
estimated harmonic effects on losses and heating, individual company practices, conflicting standards,<br />
harmonization with the IEC’s efforts to develop a standard, and development of appropriate test methods,<br />
to name a few of the obstacles.<br />
Important developments occurred during the preparation of these standards. Some involve the specification<br />
of transformers, some involve performance characteristics and calculations, and some involve<br />
the testing of transformers.<br />
2.4.2 New Terminology and Definitions<br />
At least two new terms were defined in ANSI/IEEE C57.18.10. Both are important in the specification<br />
of rectifier transformers.<br />
2.4.2.1 Fundamental kVA<br />
The traditional IEEE method for rating a rectifier transformer has always been the root-mean-square<br />
(rms) kVA drawn from the primary line. This is still the method used to develop all of the tables and<br />
figures given in ANSI/IEEE C57.18.10, Clause 10. However, the IEC converter transformer standards<br />
define the kVA by the fundamental kVA drawn from the primary line. The rms-rated kVA method is<br />
based on the rms equivalent of a rectangular current waveshape based on the dc rated load commutated<br />
with zero commutating angle. The fundamental kVA method is based on the rms equivalent of the<br />
fundamental component of the line current. There are pros and cons to both methods. IEC allows only<br />
the fundamental-kVA-method rating with an “in some countries” clause to accommodate North American<br />
practice. The logic behind this rating is that the transformer manufacturer will only be able to<br />
accurately test losses at the fundamental frequency. The manufacturer can not accurately test losses with<br />
the complex family of harmonics present on the system. Therefore, according to IEC, it is only proper<br />
to rate the transformer at the fundamental frequency. <strong>Transformer</strong> rating and test data will then correspond<br />
accurately.<br />
The traditional IEEE rms-kVA rating method will not be exactly accurate at test. However, it does<br />
represent more accurately what a user sees as meter readings on the primary side of the transformer.<br />
Users feel strongly that this is a better method, and this is what their loading is based on.<br />
ANSI/IEEE C57.18.10 allows for both kVA methods. It is important for a user to understand the<br />
difference between these two methods so that the user can specify which rating is wanted.<br />
2.4.2.2 Harmonic Loss Factor<br />
The term harmonic-loss factor, F HL , was developed by IEEE and IEC as a method to define the summation<br />
of harmonic terms that can be used as a multiplier on winding eddy-current losses and other stray losses.<br />
These items are separated into two factors, winding eddy-current harmonic-loss factor, F HL-WE , and the<br />
other-stray-loss harmonic-loss factor, F HL-OSL . These are used as multipliers of their respective losses as<br />
measured at test at the fundamental frequency. Both factors can be normalized to either the fundamental<br />
current or the rms current.<br />
These terms are similar to the values used by the Underwriters Laboratories (UL) K-factor multiplier,<br />
except that stray losses are amplified by a lesser factor than the winding eddy-current losses. The term<br />
F HL-WE comes mathematically closest to being like the term K-factor. It must be noted that the term K-<br />
factor was never an IEEE term but only a UL definition. The new IEEE Recommended Practice for<br />
Establishing <strong>Transformer</strong> Capability when Supplying Non-Sinusoidal Load Currents, ANSI/IEEE<br />
C57.100, gives a very good explanation of these terms and comparisons to the UL definition of K-factor.<br />
The <strong>Transformer</strong>s Committee of the IEEE <strong>Power</strong> <strong>Engin</strong>eering Society has accepted the term harmonicloss<br />
factor as more mathematically and physically correct than the term K-factor. K-factor is used in UL<br />
standards, which are safety standards. IEEE standards are engineering standards.<br />
In their most simple form, these terms for harmonic-loss factor can be defined as follows:<br />
and<br />
n<br />
<br />
F HL-WE = I h (pu) 2 h 2 (2.4.1)<br />
1<br />
n<br />
<br />
F HL-OSL = I h (pu) 2 h 0.8 (2.4.2)<br />
1<br />
where<br />
F HL-WE = winding eddy-current harmonic-loss factor<br />
F HL-OSL = other-stray-loss harmonic-loss factor<br />
I h = harmonic component of current of the order indicated by the subscript h<br />
h = harmonic order<br />
As is evident, the primary difference is that the other stray losses are only increased by a harmonic<br />
exponent factor of 0.8. Bus-bar, eddy-current losses are also increased by a harmonic exponent factor of<br />
0.8. Winding eddy-current losses are increased by a harmonic exponent factor of 2. The factor of 0.8 or<br />
less has been verified by studies by manufacturers in the IEC development and has been accepted in<br />
ANSI/IEEE C57.18.10. Other stray losses occur in core clamping structures, tank walls, or enclosure walls.<br />
On the other hand, current-carrying conductors are more susceptible to heating effects due to the skin<br />
effect of the materials. Either the harmonic spectrum or the harmonic-loss factor must be supplied by<br />
the specifying engineer to the transformer manufacturer.<br />
2.4.3 Rectifier Circuits<br />
Rectifier circuits often utilize multiple-circuit windings in transformers. This is done to minimize harmonics<br />
on the system or to subdivide the rectifier circuit to reduce current or voltage to the rectifier.<br />
Since different windings experience different harmonics on multiple-circuit transformers, the kVA ratings<br />
of the windings do not add arithmetically. Rather, they are rated on the basis of the rms current carried<br />
by the winding. This is an area where the rms-kVA rating of the windings is important. The fundamentalkVA<br />
rating would add arithmetically, since harmonics would not be a factor.<br />
Rectifier circuits can be either single way or double way. Single-way circuits fire only on one side of<br />
the waveform and therefore deliver dc. Double-way circuits fire on both side of the waveform.<br />
A variety of common rectifier circuits are shown in Figure 2.4.1 through Figure 2.4.11. Table 9 in<br />
ANSI/IEEE C57.18.10 shows the properties of the more common circuits, including the currents and<br />
voltages of the windings. The dc winding — the winding connected to the rectifier — is usually the<br />
secondary winding, unless it is an inverter transformer. The ac winding — the winding connected to the<br />
system — is usually the primary winding, unless it is an inverter transformer.<br />
© 2004 by CRC Press LLC<br />
© 2004 by CRC Press LLC