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本文应用Chebyshev多项式的零点对随机动态规划的余留期效益函数进行逼近的途径,来改进常规的动态规划格点法,通过计算分析表明,计算机内存量和CPU时间可大大地节省,它是克服随机动态规划组合状态数过多的一种有效途径。本文应用该法求解了两个具有多年调节水库的梯级水电站联合优化运行策略,并考虑了入流的随机性、空间相关特性及系统运行的可靠性,求得的结果是令人满意的。
In this paper, we use the Chebyshev polynomial zero point to approximate the residual-period benefit function of stochastic dynamic programming to improve the conventional dynamic programming grid method. The computational analysis shows that the amount of computer memory and CPU time can be greatly saved, An Effective Approach to Excessive Number of States in Stochastic Dynamic Programming. This paper solves the joint optimization strategy of two cascaded hydropower stations with multi-year regulation reservoirs, and considers the randomness, spatial correlation characteristics and the reliability of system operation. The result obtained is satisfactory.