非线性负载的畸变和功率因数

T. Kneschke
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引用次数: 18

摘要

当数十兆瓦量级的大型非线性负载连接到公用事业系统时,会产生显著的谐波电压和电流。这些负载包括静态变频器服务于25 Hz和16 2/3 Hz城际和通勤铁路系统。变流器的谐波会增加公用事业和其他用户设备的发热,并可能导致系统谐振。因此,在各种系统评估中需要考虑谐波。作者在处理非线性荷载时遇到的困难包括:谐波畸变的计算;以及功率因数的计算。将IEEE的谐波失真计算方法与技术文献中提出的替代方法进行了比较。当谐波频谱中的一个或多个频率高于基频时,替代方法解决了直观地显示超过100%的谐波失真的困难,但引入了其他困难,例如低估失真的幅度。由于计算中包含较多的谐波,畸变电压和电流的功率因数计算的复杂性增加。由于波形失真,当忽略谐波时,实际功率因数总是低于计算出的功率因数。本文首先回顾了非线性负荷和谐波的概念。然后,从数学角度讨论了谐波失真和功率因数的计算,并辅以实例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Distortion and power factor of nonlinear loads
When large nonlinear loads, in the order of tens of megawatts, are connected to utility systems, significant harmonic voltages and currents are produced. These loads include static frequency converters serving 25 Hz and 16 2/3 Hz intercity and commuter rail systems. The converter harmonics cause increased heating of the utility and other customer equipment and can lead to system resonance. Therefore, the harmonics need to be taken into account in various system evaluations. The difficulties in dealing with nonlinear loads encountered by the author include the following: calculation of the harmonic distortion; and calculation of power factor. The IEEE method of harmonic distortion calculation is compared with an alternative method proposed in technical literature. The alternative method resolves the intuitive difficulty of visualizing harmonic distortion of over 100% when one or more of the frequencies in the harmonic spectrum is higher than the fundamental frequency, but introduces other difficulties, such as understating the magnitude of distortion. The complexity of determination of power factor for distorted voltage and current increases as more harmonics are included in the calculation. Due to distorted waveforms, the true power factor is always lower than the power factor calculated when, as often is the case, the harmonics are ignored. In this paper the concepts of nonlinear load and harmonics are reviewed first. Subsequently, calculation of the harmonic distortion and power factor are discussed in mathematical terms and supplemented with practical examples.
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