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Switching time bifurcations in a thyristor controlled reactor

机译:晶闸管控制电抗器中的切换时间分支

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Thyristor controlled reactors are high power switching circuits used for static VAR control and the emerging technology of flexible AC transmission. The static VAR control circuit considered in the paper is a nonlinear periodically operated RLC circuit with a sinusoidal source and ideal thyristors with equidistant firing pulses. This paper describes new instabilities in the circuit in which thyristor turn off times jump or bifurcate as a system parameter varies slowly. The new instabilities are called switching time bifurcations and are fold bifurcations of zeros of thyristor current. The bifurcation instabilities are explained and verified by simulation and an experiment. Switching time bifurcations are special to switching systems and, surprisingly, are not conventional bifurcations. In particular, switching time bifurcations cannot be predicted by observing the eigenvalues of the system Jacobian. We justify these claims by deriving a simple formula for the Jacobian of the Poincare map of the circuit and presenting theoretical and numerical evidence that conventional bifurcations do not occur.
机译:晶闸管控制电抗器是用于静态无功功率控制和柔性交流输电新兴技术的大功率开关电路。本文中考虑的静态VAR控制电路是一个非线性的,周期性工作的RLC电路,具有正弦波源和理想的晶闸管,其等距触发脉冲。本文描述了电路中的新不稳定性,其中晶闸管的关断时间随着系统参数的缓慢变化而跳跃或分叉。新的不稳定性称为开关时间分叉,是晶闸管电流零点的折叠分叉。通过仿真和实验来解释和验证分叉不稳定性。切换时间分支对于切换系统来说是特殊的,令人惊讶的是,它不是常规的分支。特别地,不能通过观察系统雅可比行列式的特征值来预测切换时间分支。我们通过推导该电路的庞加莱图的雅可比行列式的简单公式,并提供理论上和数字上的证据证明不会发生常规的分叉,来证明这些说法的合理性。

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