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A New Derivation for Newton-Based Optimal Power Flow Solution

机译:基于牛顿的最优潮流解决方案的新推导

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A new and comprehensive derivation for the solution of the Newton-based OPF-problem is presented. Unlike the derivations available in other literature, the method presented here takes full advantage of the relations between the elements of the Hessian and Jacobian matrices. This reduces the number of arithmetic operations (such as multiplication and addition) for the calculation of the elements of the Hessian matrix, thus resulting in the reduction of the computation time. The OPF-solution is developed in two stages. In the first stage, the basic OPF-problem with no inequality constraints is solved. In the second stage, the inequality constraints on voltages and active/reactive powers of generators are included. The OPF-solution is evaluated using the nine-bus power system from Cornell University. A comparison between the OPF-solution presented here and the Cornell University solution is used to validate the presented method of solution.
机译:提出了基于牛顿的OPF问题的解决方案的新的综合推导。与其他文献中可用的推导不同,此处介绍的方法充分利用了黑森和雅各布矩阵元素之间的关系。这减少了用于计算Hessian矩阵的元素的算术运算(例如乘法和加法)的数量,从而减少了计算时间。 OPF解决方案分两个阶段开发。在第一阶段,解决了没有不等式约束的基本OPF问题。在第二阶段,包括对发电机电压和有功/无功功率的不平等约束。 OPF解决方案使用康奈尔大学的9总线电源系统进行评估。此处介绍的OPF解决方案与康奈尔大学解决方案之间的比较用于验证提出的解决方案。

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