高压断路器并联均压电容对电力系统动力学行为影响的研究

当高压断路器断口的均压电容和电磁式互感器形成串联回路时，往往会发生铁磁谐振，其中也有可能存在混沌振荡，本文以此为基础，从系统分歧的观点出发，较详细地研究了在不同均压电容的参数条件下，均压电容的取值变化对系统分歧过程的影响，结果表明即使均压电容的微小变化也会造成电力系统完全不同的动力学行为，系统将出现两倍周期，四倍周期，五倍周期，甚至混沌振荡的制式。本文还通过Lyapunov指数，维数的方法对系统出现的混沌振荡制式进行了计算验证，在设计高压断路器时，均压电容的取值应慎重分析，以避免对系统产生不良影响，高压断路器是直接关系到电力系统安全，稳定运行的重要设备之一，从不同侧面来研究它在电力系统中的工作状况，将具有十分重要的意义。

Research on the Influence of Grading Capacitor in High Voltage Circuit Breaker Upon the Dynamic Behavior of Power System

For high voltage circuit breaker shunted with the grading capacitor, when the grading capacitor and potential transformer is in series in power system, the ferroresonance oscillation will occur, there may be existed chaotic behavior. It is pointed out initially in this paper that the value of grading capacitor will affect the bifurcation of the system, different grading capacitance will result in different dynamic behavior of the power system, such as period doubling bifurcation, chaotic regime. Lyapunov exponents and dimension are most effective method to estimate whether the system happens chaotic regime. This paper also uses Lyapunov exponents and dimension method to verify the chaotic regime of the system. Therefore, the selection of grading capacitance is an important task in the design, the value of grading capacitance should avoid harmful influence to the power system.