谐波耦合导纳矩阵模型的简化及其在诺顿模型中的应用
首发时间:2019-05-15
摘要:谐波模型是研究非线性负载谐波特性的基础,其中谐波耦合导纳矩阵模型因其计算结果准确而被广泛采用,但其表达形式较为复杂。此外谐波诺顿模型因其构造简单,也被广泛应用于谐波计算中,但其对于非线性负载的参数计算波动较大,目前对于该问题多是采用仿真实验进行分析,缺乏基于理论分析的研究。在深入分析谐波耦合导纳矩阵模型的基础上提出了简化模型,实验验证该简化模型的误差是可以接受的。对简化模型经过变换后得到形如诺顿模型的等值电路,应用该等值电路从原理上解释了诺顿模型在非线性负载谐波分析中所产生参数波动的原因,并给出了参数稳定的条件,计算和实验结果证明所提条件合理。
关键词: 电气工程 谐波耦合导纳矩阵模型 谐波等值电路 谐波诺顿模型
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Simplification of Harmonic Coupling Admittance Matrix Model and Its Application in Norton Model
Abstract:Harmonic model is the basis of research on nonlinear load harmonic characteristics. In this research area, harmonic coupling admittance matrix model is widely used because of high accuracy, companioned with complex form of expression however. Besides, harmonic norton model is also used in harmonic calculation with simple structure of expression but large fluctuation on nonlinear load calculation. Such fluctuation, often studied by simulating analyzation, is in short of theoretical analysis. This paper proposed simplified expression based on the analyzation upon harmonic coupling admittance matrix model and proved acceptable error according to realistic tests. An equivalent circuit, similar to norton model, was transformed from the simplified model. And using such equivalent circuit, the paper also explained reasons why fluctuation existed in analyzation of nonlinear load harmonic characteristics when norton model was applied.The conditions, had been proved reasonable by calculation and experimental results, were proposed for parameter stability.
Keywords: electrical engineering harmonic coupling admittance matrix model harmonic equivalent circuit harmonic norton model
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