三相PWM整流器中灾难性分岔分析

发布时间：2018-06-21 13:43

本文选题：PWM整流器 + 灾难性分岔　；参考：《中国电机工程学报》2015年13期

【摘要】：该文研究了三相PWM整流器由于电路参数的非理想因素而引起的灾难性(catastrophic)分岔。利用状态空间平均模型研究了闭环系统的稳定性,得到了系统状态空间平均模型雅克比(Jacobian)矩阵的特征根轨迹,据此确定了系统的边界,结果表明,交流侧等效串联电阻是影响系统灾难性分岔的一个本质参数。通过分析状态空间平均模型的平衡点,得到一个参数含有交流侧等效串联电阻的一元二次方程,该方程Δ=0所确定的边界,恰好与状态空间平均模型得到的边界相吻合,但据此确定的关于系统稳定边界的表达式更能反映系统运行的物理机理和本质特性。比较了利用数值仿真、状态空间平均模型、系统功率方程和系统的平衡点4种不同方法分析系统稳定性的优缺点,并提出了一种避免灾难性分岔发生的控制措施。最后,通过数值仿真和电路实验验证了分析结果的正确性。
[Abstract]:In this paper, the catastrophic bifurcation of three-phase PWM rectifier caused by the non-ideal factor of circuit parameters is studied. The stability of the closed-loop system is studied by using the state-space averaging model. The eigenvalue locus of the Jacobian matrix of the state-space averaging model of the system is obtained, and the boundary of the system is determined. Ac side equivalent series resistance is an essential parameter that affects the catastrophic bifurcation of the system. By analyzing the equilibrium point of the state space average model, a quadratic equation with parameters containing the AC side equivalent series resistance is obtained. The boundary determined by the equation 螖 0 coincides with the boundary obtained by the state space average model. However, the expression of the system stability boundary can better reflect the physical mechanism and essential characteristics of the system operation. The advantages and disadvantages of four different methods, such as numerical simulation, state space average model, system power equation and system equilibrium point, are compared to analyze the stability of the system, and a control method to avoid catastrophic bifurcation is proposed. Finally, the correctness of the analysis results is verified by numerical simulation and circuit experiments.
【作者单位】：太原理工大学电气与动力工程学院;山西省电力公司;
【基金】：山西省科技攻关项目(20120321005-02,20130321027-01,MD2014-06)~~
【分类号】：TM461

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