Adjustable speed motor drives are among the most representative types of non-linear systems which can exhibit rich varieties of complex dynamic behaviours. This study presents the investigation of chaotic phenomena in the switched reluctance (SR) motor drive employing digital speed regulator and hysteresis current controller. For conducting stability analysis, a small signal discrete-time model of the SR drive has been derived and analysed for a range of control parameters. The simulation results of time-domain and frequency-domain analysis and phase portraits of the SR drive system are also demonstrated and discussed. Two influencing factors for chaotic behaviour in the SR drive system are identified and examined in detail: the feedback delay of the speed regulator and measurement imperfection from a rotary incremental encoder. For verification, an 8/6 pole 2.3 kW SR drive is employed in experimental tests. The bifurcation diagrams of the reference signal, waveforms of phase current, and the corresponding frequency spectra are recorded and illustrated for both normal and chaotic operations, which reveal the pattern of chaos exhibited from this type of electric drive system.

中文翻译：

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采用数字速度和电流控制的开关磁阻电机驱动中的混沌

可调速电动机驱动器是非线性系统中最具代表性的类型，它可以表现出各种各样的复杂动态行为。这项研究提出了使用数字速度调节器和磁滞电流控制器的开关磁阻（SR）电机驱动器中的混沌现象的研究。为了进行稳定性分析，已推导了SR驱动器的小信号离散时间模型，并针对一系列控制参数进行了分析。还演示并讨论了SR驱动系统的时域和频域分析以及相像的仿真结果。确定并详细检查了SR驱动系统中混沌行为的两个影响因素：速度调节器的反馈延迟和旋转增量编码器的测量缺陷。为了验证，实验测试中使用了8/6极2.3 kW SR驱动器。记录并说明了正常操作和混沌操作的参考信号的分叉图，相电流的波形以及相应的频谱，它们揭示了这种电驱动系统表现出的混沌模式。