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Voltage stability constrained multi-objective optimal reactive power dispatch under load and wind power uncertainties: A stochastic approach

机译：负荷和风力不确定性下的电压稳定性约束多目标最优无功调度：一种随机方法

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摘要

Optimal reactive power dispatch (ORPD) problem is an important problem in the operation of power systems. It is a nonlinear and mixed integer programming problem, which determines optimal values for control parameters of reactive power producers to optimize specific objective functions while satisfying several technical constraints. In this paper, stochastic multi-objective ORPD (SMO-ORPD) problem is studied in a wind integrated power system considering the loads and wind power generation uncertainties. The proposed multi objective optimization problem is solved using e-constraint method, and fuzzy satisfying approach is employed to select the best compromise solution. Two different objective functions are considered as follow: 1) minimization of the active power losses and 2) minimization of the voltage stability index (named L-index). In this paper VAR compensation devices are modeled as discrete variables. Moreover, to evaluate the performance of the proposed method for solution of multi-objective problem, the obtained results for deterministic case (DMO-ORPD), are compared with the available methods in literature. The proposed method is examined on the IEEE-57 bus system. The proposed models are implemented in GAMS environment. The numerical results substantiate the capability of the proposed SMO-ORPD problem to deal with uncertainties and to determine the best settings of control variables. (C) 2015 Elsevier Ltd. All rights reserved.
机译：最优无功调度问题是电力系统运行中的重要问题。这是一个非线性和混合整数规划问题，它确定无功生产者控制参数的最佳值，以在满足一些技术约束的同时优化特定目标函数。本文研究了考虑负荷和风力发电不确定性的风电系统中的随机多目标ORPD（SMO-ORPD）问题。提出的多目标优化问题采用电子约束方法解决，并采用模糊满意的方法选择最佳折衷方案。两种不同的目标函数被认为如下：1）最小有功功率损耗； 2）最小电压稳定指数（称为L-index）。在本文中，VAR补偿设备被建模为离散变量。此外，为了评估所提出方法解决多目标问题的性能，将确定性案例（DMO-ORPD）的获得结果与文献中可用的方法进行了比较。在IEEE-57总线系统上检查了提出的方法。所提出的模型在GAMS环境中实现。数值结果证实了所提出的SMO-ORPD问题处理不确定性和确定控制变量的最佳设置的能力。 （C）2015 Elsevier Ltd.保留所有权利。

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