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Loss Minimization By The Predictor-corrector Modified Barrier Approach

机译：预测器校正器修正的屏障方法使损失最小化

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摘要

This paper presents a new approach, predictor-corrector modified barrier approach (PCMBA), to minimize the active losses in power system planning studies. In the PCMBA, the inequality constraints are transformed into equalities by introducing positive auxiliary variables, which are perturbed by the barrier parameter, and treated by the modified barrier method. The first-order necessary conditions of the Lagrangian function are solved by predictor-corrector Newton's method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, reaching the limits of the inequality constraints. The feasibility of the proposed approach is demonstrated using various IEEE test systems and a realistic power system of 2256-bus corresponding to the Brazilian South-Southeastern interconnected system. The results show that the utilization of the predictor-corrector method with the pure modified barrier approach accelerates the convergence of the problem in terms of the number of iterations and computational time.
机译：本文提出了一种新方法，即预测校正校正修正障碍方法（PCMBA），以最大程度地减少电力系统规划研究中的有功损耗。在PCMBA中，通过引入正辅助变量将不等式约束转化为等式，该变量由势垒参数扰动并通过改进的势垒方法处理。拉格朗日函数的一阶必要条件通过预测-校正器牛顿法求解。辅助变量的扰动导致原始问题的可行集的扩展，达到不等式约束的极限。通过使用各种IEEE测试系统和与巴西南-东南互连系统相对应的2256总线的实际电源系统，证明了该方法的可行性。结果表明，采用纯修正势垒方法的预测器-校正器方法在迭代次数和计算时间方面加快了问题的收敛速度。

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