A novel approach for solving CC-OPF problems is proposed, where the uncertainties are evaluated based on polynomial approximate method and Cornish–Fisher expansion. Both the objective function and constraints are reformulated in the form of polynomials, and then the uncertainties can be evaluated directly, where Cornish–Fisher expansion is used to handle the chance constraints. After the original probabilistic model is reformed into a deterministic optimization model, the traditional optimization methods can be implemented, e.g., interior point method. Case studies on IEEE 9-bus system and 118-bus system show that this new method can efficiently solve the CC-OPF modeled by AC load flow equations.

中文翻译：

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基于多项式逼近和 Cornish-Fisher 扩展的机会约束 OPF

提出了一种解决 CC-OPF 问题的新方法，其中基于多项式近似方法和 Cornish-Fisher 扩展来评估不确定性。目标函数和约束都以多项式的形式重新表述，然后可以直接评估不确定性，其中使用 Cornish-Fisher 扩展来处理机会约束。将原来的概率模型改造为确定性优化模型后，可以实现传统的优化方法，如内点法。IEEE 9 总线系统和 118 总线系统的案例研究表明，这种新方法可以有效地求解由交流潮流方程建模的 CC-OPF。