By Jos Arrillaga, Neville R. Watson
Harmonic distortion difficulties contain apparatus overheating, motor mess ups, capacitor failure and faulty strength metering. the subject of energy process harmonics used to be lined for the 1st time twenty years in the past and the 1st variation has develop into a typical reference paintings during this region. unparalleled advancements in energy digital units and their integration in any respect degrees within the energy approach require a brand new examine the factors and results of those difficulties, and the kingdom of and software program to be had for harmonic assessment.
Following the profitable first version, this moment variation of persistent process Harmonics keeps the sensible method of the topic and discusses the influence of complicated strength digital expertise on instrumentation, simulation, criteria and energetic harmonic removing techniques.
Features include:
- A new bankruptcy on sleek electronic instrumentation techniques.
- Added sections on lively filters and glossy distorting units akin to proof units, multilevel conversion, present resource, voltage resource inverters and turn-OFF-related strength digital devices.
- References to overseas criteria for harmonics and inter-harmonics.
- Numerical examples of method application.
Offering a finished knowing of strength structures, this ebook is an asset to strength engineers concerned with the making plans, layout and operation of energy process new release, transmission and distribution. Researchers and postgraduate scholars within the box also will make the most of this beneficial reference.
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Additional resources for Power System Harmonics
Example text
1822) Theorie analytique de la chaleur, Paris. Kreyszig, E. (1967) Advanced Engineering Mathematics, 2nd edn. John Wiley & Sons. F. (1966) Network Analysis and Synthesis. John Wiley & Sons. O. (1974) The Fast Fourier Transform. Prentice-Hall. W. W. (1965) An algorithm for machine calculation of complex Fourier series, Math. , 19, 297–301. 6. M. D. , IEEE Trans Audio and Electroacoustics, special issue on fast Fourier transform and its application to digital filtering and spectral analysis, AU-15(2), pp.
The complex values connected by arcs are conjugates of each other. The solid lines represent the butterflies that need to be computed. Reproduced from [13] one N -point FFT plus 2N − 4 extra additions, which essentially means that the number of operations compared to the standard FFT is halved by this technique. An even more efficient technique [13] is based on the fact that complex conjugate symmetry not only exists at the output of the FFT algorithm (coefficients X(k)) but also at every stage.
The decrement of the inrush current with time is mainly a function of the primary winding resistance. For the larger transformers this inrush can go on for many seconds because of their relatively low resistance. 6. The harmonic content, shown as a percentage of the rated transformer current, varies with time, and each harmonic has peaks and nulls. C. Magnetisation It has been shown in previous sections that a transformer excited by sinusoidal voltage produces a symmetrical excitation current that contains only odd harmonics.