基于Lyapunov稳定性理论的自励异步发电机建压过程分析

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Abstract Based on transient equivalent circuits and mathematic model of self-excited induction generators under no-load in stationary reference frame, it is proposed a holistic approach to analysis using Lyapunov stability theory. Through analysis of initial transient states, what just makes the self-excitation happen is fixed to be condition of limit cycle. Then, analytic formulas of stator power frequency, critical excited capacitance and critical rotor speed are obtained by analysis and calculation. Therefore whether the self-excitation build-up begins can be judged. Compared with other methods, the calculated results agree with others’ and are more accurate, which shows its correctness and practicability. The approach combined with the analytic formulas analyzes the self-excitation build-up, the results agree well with that of experiment. This proves it further correct and valid.

Key words： Self-excited induction generator Lyapunov stability transient equilibrium limit cycle critical analytic formulas

Received: 13 September 2013 Published: 05 November 2014

PACS:

TM343

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	Li Haitao
	Lu Ziguang

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Li Haitao,Lu Ziguang. Analysis of Voltage Build-Up for Self-Excited Induction Generators Based on Lyapunov Stability Theory[J]. Transactions of China Electrotechnical Society, 2014, 29(9): 167-173.

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2014/V29/I9/167

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