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根据水电站厂内经济运行的特点,本文建立了该问题的非线性混合整数规划数学模型。在模型中引入了罚因子的概合,用来计及除水量损耗以外其它因素的影响。在对模型求解时采用了大系统优化理论中Geoffrion分解原理,将原问题分解为主、子两个问题,并对Geoffrion分解原逐的可用性给予了数学证明;分解后的主问题为0-1规划问题,子问题为时空可解耦的可分非线性规划。进而又将子问题分解为一系列子子问题——水电站机组空间负荷最优分配问题。对子子问题的求解采用可变容差法,这样可以使机组的出力、水头、流量关系不必解析表达,因此使计算结果精度提高。最后通过实例计算验证算法的可行性。
According to the characteristics of the economic operation in the hydropower plant, this paper establishes the mathematical model of nonlinear mixed integer programming for this problem. An introduction to the penalty factor is introduced in the model to account for the effects of other factors than the depletion of water. In the process of solving the model, the principle of Geoffrion decomposition in large system optimization theory was adopted to decompose the original problem into two major problems, and the mathematical proof was given to the availability of Geoffrion decomposition. The main problem after the decomposition is 0-1 Planning problems, sub-problems can be decoupled spatio-temporal separable nonlinear programming. In turn, the sub-problem is decomposed into a series of sub-subproblems: the optimal allocation of space load for the unit of hydropower station. Solve the sub-sub-problems using variable tolerance method, so you can make the unit’s output, head, flow relations do not have to parse the expression, so that the accuracy of the calculation results. Finally, an example is given to verify the feasibility of the algorithm.