基于分岔理论的磁阀式可控电抗器匝数比研究

Turn ratio of magnetic valve type controlled reactor based on bifurcation theory

匝数比取值对磁阀式可控电抗器(MVCR)的工作性能有较大影响。匝数比取值合理,能够保证MVCR的端电压瞬间变化时,其工作电流迅速稳定在某一个当前值;若匝数比取值不当,会使MVCR在运行过程中表现出很强的非线性特性,对系统的运行特性造成极大的影响,甚至无法工作。利用非线性动力学的分岔理论,阐述了一种固定周期离散映射的建模方法。首先建立MVCR的离散模型,然后利用该模型计算得到匝数比不同取值时等效工作电流的稳态值。在分析稳态值分岔现象的基础上,给出了匝数比的合理取值范围。仿真结果验证了所提方法的有效性和合理性。

The turn ratio plays an important role in the working performance of MVCR（Magnetic Valve type Controlled Reactor）. Proper turn ratio ensures that the working current is stabilized rapidly along with the instantaneous change of terminal voltage;on the contrary,improper turn ratio will lead to the strongly nonlinear properties of MVCR,which may cause system collapse, Based on the bifurcation theory of nonlinear dynamics,the fixed period discrete mapping modeling method is proposed. A discrete mapping model of MVCR is established, based on which,the steady value of the equivalent working current is calculated. Its bifurcation phenomenon is analyzed and the proper value range of turn ratio is obtained. Simulation verifies the effectiveness and rationality of the method.