永磁同步电动机的哈密顿最优控制系统

Optimal Control of Hamiltonian System of Permanent Magnet Synchronous Motor

针对内埋式永磁同步电动机数学模型的非线性,基于非线性系统正交分解的端口受控哈密顿模型,采用能量成型与无源性的控制方法,设计了内埋式永磁同步电动机调速系统的控制器,并证明了该系统的稳定性。将速度控制问题转化为带阻尼系数的一阶微分方程求解问题,给出了阻尼系数的求取方法。进而提出了同时考虑逆变器电压约束和最大转矩/电流比控制的优化方法,为哈密顿控制器提供了期望平衡点。仿真结果表明该调速系统具有良好的控制性能。

To nonlinear characteristics of the mathematical model of interior permanent magnet synchronius motor （IPMSM） , a controller of the speed control system was proposed based on the port-controlled Hamihonian （PCH） of or- thogonal decomposition of nonlinear systems, using the method of interconnection and damping assignment passivity based control （IDA-PBC）. It is proved that the system is stable. A method to obtain damping coefficient was given with that turn the speed control problems into the solving it for first order differential equations with damping coefficient. Then an optimi- zation method was presented that at the same time to consider constraint voltage of the inverter and maximum torque per am- pere （MTPA） of the IPMSM, to provide expectations of equilibrium point for Hamilton controller. Simulation results show that the system has good control performance.