极相调制感应电机的建模与控制

Modeling and Control of Induction Machines With Pole-phase Modulation

考虑极相调制感应电机绕组导体的实际分布,利用傅里叶级数分解,得到导体密度函数,并建立其自然坐标系下的数学模型。以此为基础,根据多相电机电流/电压信息的冗余性,通过利用独立变量,提出一种改进的多相电机坐标变换方法,采用最少的电流/电压传感器,获取矢量控制所需的d-q轴电流/电压分量。它不但可减少实际电流传感器的数目,降低整个控制系统的成本,而且可简化坐标变换中的编程算法。撘建了极相调制电机的矢量控制系统,通过矢量控制实现解耦控制,利用转矩分配函数,确保变极切换过程的转矩平滑,可灵活控制电机运行于不同的极数。论文利用JMAG有限元分析验证了所建立数学模型的正确性,基于Matlab建立了极相调制感应电机的矢量控制系统。仿真和实验结果验证了论文对该电机的理论建模、分析及提出的最少电流传感器矢量控制变极方案的可行性、有效性。

Based on the actual distribution of conductors,a conductor density function was derived using the first two terms of the Fourier series.The mathematical model of induction machines with pole-phase modulation in the stationary coordinate system was deduced.As the current and voltage information is redundant in multiphase machine,an improved coordinate transformation scheme is developed using the independent variables of currents and voltages.In this scheme with the least number of current/voltage sensors the needed current/voltage variables could be detected,then the d-q current/voltage components in the vector control are calculated.With this scheme the number of current sensors in practical systems could be reduced,so as to reduce the cost of the whole control system,and at the same time the programming algorithm in the coordinate transformation could be simplified.A vector control system is developed to control the machine,and the pole-changing transition allows smooth torque production with the torque distribution function.Simulation and experimental results verify the validity of the mathematical model and the vector control algorithm.