耗散性非自治电路的确定与不定解

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Abstract The harmonic balance principle can only seek the stable oscillation solution of non-linear dynamic system, but it cannot solve the initial transient process. Since the initial condition is not introduced, the initial phase angle of the self-excited oscillation component cannot be obtained. Concerning harmonic analysis method, if the initial assumption of the harmonic components fits the physical characteristics of the circuit, the correct real number solution will be obtained. By contrast, the absence of real number solution implies an improper initial assumption. In this case, to reset the form of harmonic components is necessary. Containing both self-excited and forced oscillation components, the second order non-autonomous circuit is a coupled oscillation. The non-autonomous circuits of fifth power are discussed in this paper. The non-linear damping factor can be replaced by equivalent first wave conduction. The simplification network can be divided into two subsections, each of which possess independent oscillation frequency. The differential equation can independently be described and then be solved together. The power balance of each subsection network must be maintained. It is an effective way to solve non-autonomous circuits. It possesses widely universality and applicability.

Key words： harmonic analysis non-autonomous circuits nonlinear oscillation coupling initial phase angle

Received: 29 December 2021

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	HUANG Binghua
	CHEN Xinmiao
	WEI Shan'ge

Cite this article:

HUANG Binghua,CHEN Xinmiao,WEI Shan'ge. The definite and indefinite-solutions in the dissipative non-autonomous circuits[J]. Electrical Engineering, 2022, 23(9): 54-68.

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http://dqjs.cesmedia.cn/EN/Y2022/V23/I9/54

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