采用分布鲁棒优化方法的最小切负荷量计算

含径流式小水电等不确定新能源的电网规划一般采用随机规划方法建模和求解，但径流式小水电出力概率密度函数一般难以准确获得，而分布鲁棒可以针对性地处理不确定因素的概率分布不确定优化问题，因此采用分布鲁棒优化方法解决含径流式小水电站出力不确定的电网规划中最小切负荷量计算问题。考虑径流式小水电站出力不确定性，构建最小切负荷量计算模型，引用鲁棒思想将模型转化为基于分布鲁棒优化理论的最小切负荷量计算模型，并通过拉格朗日对偶原理进一步转换为一个确定性的半定规划。算例计算了不同径流式小水电容量下系统地最小切负荷量，结果表明最小切负荷量受径流式小水电站出力估计值扰动范围的影响，切负荷量随扰动范围的增大而增加，且不同节点的敏感度也不相同；最小切负荷量与接入系统的径流式小水电容量成正相关趋势。

Calculation for minimum load curtailment using distributional robust optimization

The power network planning with new energy, such as small hydropower, generally uses stochastic programming method, which hardly to accurately obtain the probability density function of radial flow hydropower station output. Hence, in this paper, the distributional robust optimization method is used to solve the minimal load shedding problem of the power network planning contained small hydropower with uncertain output. Furthermore, the minimal load shedding calculation model based on the distributional robust optimization theory is built, and the uncertain grid planning is turn into a certain semidefinite programming by Lagrangian duality principle. Finally, there are calculating the minimal load shedding under different hydropower station capacity, and the results show that the sensitivity of different nodes is not same and the minimal load shedding is influenced by the change ranges of radial flow hydropower station output, which increases with the change ranges and is proportional to the grid connected hydropower station capacity.