基于Bang-Bang最优理论的感应电机能耗制动相轨迹分析

Energy-Consumed Braking Phase Trajectory of Induction Motor Based on Bang-Bang Optimal Theory

提出了一种基于Bang-Bang最优理论的感应电机能耗制动相轨迹分析方法。由于制动转矩是转子转速的函数,得出传统直流制动相轨迹是沿最佳开关线簇收敛到原点这一重要结论,此时能耗制动时间代价与最优时间代价相差较大。通过对感应电机能耗制动相轨迹方程作深入推导,提出了使能耗制动相轨迹逼近最佳开关线的变电流制动控制方案。仿真和实验结果表明,在制动时间代价、制动瞬间尖峰电流以及制动能量损耗上,所提出的变电流制动优于传统直流制动。由于制动能量损耗很小,该方法比较适合功率较大的感应电机系统,可以有效防止电机快速制动时出现过电流、过热等问题。

A novel analysis approach to energy-consumed braking phase trajectory（ECBPT） of induction motor based on Bang-Bang optimal theory is presented in this paper.Because the braking torque is a function of the rotor speed,the phase trajectory of conventional direct-current braking method（CDCB） move along the cluster of the optimal switching curves and converge to the origin,so that the time cost of the CDCB is much more than the optimal time cost.From deep derivation of the ECBPT equation,the variable-current braking method（VCB） which will approach the ECBPT to the optimal switching curve well is proposed.The result of simulation and experiment show that the proposed method VCB works much better than CDCB on time cost,instantaneous peak current and energy loss while braking.Due to the quite small energy loss in braking,VCB is especially suitable to induction motors which have higher power,and it also can effectively prevent the motor from over-current,over-heating and other problems when fast braking.