基于分数阶微分理论的宽频建模方法

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Abstract According to the problems of electromagnetic, overvoltage protection and insulation coordination in the power system, communication system and railway power system, et. al., the electric equipment, transmission line and grounding system, et. al. should be modeled considering their frequency dependent characteristic. The vector fitting method is a general method to be used to approximate the network parameter by the rational function, however, this method does not fully consider the fractional order characteristic of the frequency dependent effect, which will result in a relative complicate model. Based on the fractional order differential theory, this paper presents a general wide-band modeling method. In this method, the Levy’s identification method is used to approximate the measured or calculated frequency domain network function with the irrational function, in which the powers of the Laplace operator s is non-integer and the corresponding fractional order differential equation can be obtained by the Laplace inverse transformation. Combining with the numeric solution to the fractional order differential equation, a time domain simulation can be implemented. Considering the indispensability of the passivity verification of a system for the transient simulation, the passivity verification method for the traditional state-space system is extended to the fractional order state-space system and a practical criterion is proposed in this paper.

Key words： Fractional order differential theory wide-band modeling passivity frequency dependent characteristic

Received: 09 October 2012 Published: 25 March 2014

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TM133

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	Articles by authors
	Liu Xin
	Cui Xiang
	Liang Guishu
	Ma Long

Cite this article:

Liu Xin,Cui Xiang,Liang Guishu等. Wide-band Modeling Method Based on the Fractional Order Differential Theory[J]. Transactions of China Electrotechnical Society, 2013, 28(4): 20-27.

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2013/V28/I4/20

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