摘要
针对永磁同步电机(PMSM)转速调节问题,采用端口受控哈密顿(PCH)系统和无源性控制原理,研究了PMSM的建模与控制。将PMSM看作是二端口的能量变换装置,基于PCH系统理论建立了PMSM的非线性数学模型。利用能量成型和无源性控制方法,给出了PMSM的速度控制原理,反馈控制问题被归结为一类偏微分方程的求解。通过选择期望的闭环系统哈密顿函数,可将偏微分方程转换成一组普通的方程,从而使求解变得容易。分析了永磁同步电机速度控制系统平衡点的稳定性,并设计了控制器。仿真结果表明所设计的方案具有很好的转速跟踪性能。
In view of the speed regulation problem of PMSM （ permanent magnet synchronous motor）, applying PCH （port-controlled Hamihonian） systems and passivity-based control theory, the modeling and control of PMSM is presented. PMSM can be viewed as a two-port energy-transformation device. A non- linear mathematical model of PMSM is established based on the PCH systems theory. Then, using energy- shaping and PBC （passivity-based control） method, the speed control principle of PMSM is given. The feedback control problem of the system is reduced to the solution of a partial differential equation. The partial differential equation can be transformed into a set of general differential equation by selecting desired Hamiltonian of the close-loop system. Consequently, the design of the system is simplified. The equilibrium stability is analyzed and the feedback controller is designed for the speed control system of PMSM. The simulation results show that the proposed scheme has a good performance of speed tracking.
出处
《电机与控制学报》
EI
CSCD
北大核心
2006年第3期229-233,共5页
Electric Machines and Control
基金
国家自然科学基金项目(60174040)
山东省自然科学基金项目(y2003g02)
青岛大学重点基金资助(2003-10)
关键词
永磁同步电机
能量成型
哈密顿系统
无源性控制
permanent magnet synchronous motor
energy-shaping
Hamiltonian systems
passivity-based control
