摘要：提出一种计算简单、迭代次数少和计算量小的IPMSM控制系统优化电流的求解算法。首先，将IPMSM的效率优化建模为基于非线性约束的规划问题；然后，将该问题求解转化为二次型规划（QP）序列的求解；最后利用不动点理论，将Mann迭代序列与QP序列相结合形成改进迭代算法。本文证明了QP序列的收敛性、收敛值和IPMSM控制系统优化电流的同一性，给出了Mann迭代收敛以及与原始QP序列收敛值相同的理论依据。仿真分析了优化电流的五种数值求解方法，其结果表明，本文最终得到的改进的迭代算法具有明显的优越性，比较适用于IPMSM效率优化的数字化控制。
关键词：IPMSM；电动车；优化电流；优化理论；不动点理论

Abstract: Aim to compute optimization currentof control system of IPMSM, this paper proposed analgorithm which have good characteristics,such as computationsimple and less iteration numberand less calculation quantity. First of all, the efficiency optimization of IPMSM was modeled as aconstrainedprogramming problem, then transformed it into linear constraint QP sequence. Finally, according to the fixed point theory, the Mann iteration and the QP sequence were combined for form a new iteration algorithm. The convergenceof QP sequence was proved, and according to theory analysis its convergence value and the solution of the primal programming problem are same. The theoretical basis about the Mann iteration convergence and the same convergence value of the Mann iteration and the prime QP sequence was given. By simulating five computation methods,the improved iteration algorithm proposed finally in this paper has obvious superiority compared with the other four algorithms; it is very fit for the digital control system of IPMSM.
Key words: IPMSM; electric vehicle; optimization current; optimization theory; fixed point method