为了满足电力系统功率平衡,提高发电效率,使发电成本最小,要求采用对电力经济调度问题的数学模型进行分析,提出了柯西分布的量子粒子群优化算法,用于求解电力经济调度问题.通过结合柯西分布具有较长两翼的特点,保证了算法的收敛性.对于约束条件,采用罚函数来处理功率平衡,使构造的适应值函数更合理.对15个机组的两组数值仿真表明,改进算法在收敛精度和迭代速度上有较好的效果.%In order to satisfy power balance and obtain the smallest generating cost of the power system, by analyzing the economic dispatch problem, a new quantum-behaved particle swarm optimization algorithm based on Cauchy distribution method was proposed for solving the power economic dispatch problem. We combined the characteristic of two longed wings of Cauchy distribution to guarantee the algorithm convergence. We used a penalty function to solve the constraints conditions of power balance. And then it was used to construct more suitable fitness function, and detailed calculation procedure was given. Finally, we applied this algorithm to two groups of experimens of the 15 units. The results indicate that the algorithm has higher speed and accuracy of convergence and better iterative] speed.
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