An efficient and accurate multi-scale induction machine model for simulating diverse transients in power systems is developed and validated. Voltages, currents, and flux linkages are described through analytic signals that consist of real in-phase and imaginary quadrature components, covering only positive frequencies of the Fourier spectrum. The stator is modeled in the abc phase coordinates of an arbitrary reference frame whose rotating speed is adjusted by a simulation parameter called shift frequency. When the reference frame is stationary at a zero shift frequency, then the model processes instantaneous signals to yield natural waveforms. When the reference frame is set to rotate at the synchronous frequency of the electric network, then the Fourier spectra of the analytic signals are shifted by this synchronous frequency to become dynamic phasors that allow for efficient envelope tracking. The shift frequency can be adapted during simulation. For any rotor position and independent of the variation of the magnetizing inductances with saturation, the induction machine model appears as a Norton current source with constant inner admittance in the abc phase domain to support the integration with simulators that represent the electric network in the abc phase domain. The analysis of test cases covering diverse transients substantiates the claims made in terms of accuracy and efficiency across different time scales.

中文翻译：

---

具有恒定内阻的相域多尺度感应电机模型

开发并验证了一种高效、准确的多尺度感应电机模型，用于模拟电力系统中的各种瞬态。电压、电流和磁链通过由实同相和虚正交分量组成的分析信号来描述，仅涵盖傅立叶频谱的正频率。定子在任意参考系的 abc 相位坐标中建模，其转速由称为偏移频率的仿真参数调整。当参考系在零移频率处静止时，模型会处理瞬时信号以产生自然波形。当参考系设置为以电网的同步频率旋转时，然后，分析信号的傅立叶频谱被这个同步频率偏移，成为允许有效包络跟踪的动态相量。可以在仿真期间调整偏移频率。对于任何转子位置并且与磁化电感随饱和的变化无关，感应电机模型表现为在 abc 相域中具有恒定内导纳的诺顿电流源，以支持与代表 abc 相中的电网的模拟器的集成领域。对涵盖不同瞬态的测试用例的分析证实了在不同时间尺度上的准确性和效率方面的声明。对于任何转子位置并且与磁化电感随饱和的变化无关，感应电机模型表现为在 abc 相域中具有恒定内导纳的诺顿电流源，以支持与代表 abc 相中的电网的模拟器的集成领域。对涵盖不同瞬态的测试用例的分析证实了在不同时间尺度上的准确性和效率方面的声明。对于任何转子位置并且与磁化电感随饱和的变化无关，感应电机模型表现为在 abc 相域中具有恒定内导纳的诺顿电流源，以支持与代表 abc 相中的电网的模拟器的集成领域。对涵盖不同瞬态的测试用例的分析证实了在不同时间尺度上的准确性和效率方面的声明。