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首页> 外文期刊>Power Systems, IEEE Transactions on >Piecewise Normalized Normal Constraint Method Applied to Minimization of Voltage Deviation and Active Power Loss in an AC–DC Hybrid Power System
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Piecewise Normalized Normal Constraint Method Applied to Minimization of Voltage Deviation and Active Power Loss in an AC–DC Hybrid Power System

机译：分段归一化正态约束方法用于最小化AC-DC混合电源系统中的电压偏差和有功功率损耗

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摘要

In this paper, we establish a mathematical model of the multi-objective reactive power optimization (MORPO) problem in an ac–dc hybrid power system. To get an evenly distributed set of Pareto solutions of this MORPO problem throughout a whole day, we propose a piecewise normalized normal constraint (PNNC) method. Based on this method, the Pareto frontier is divided into four arcs so that the fluctuation of angle between the tangent line at each Pareto point and its sub-Utopia line is reduced. By doing so, the original MORPO problem is transformed into four sets of single objective optimization problems, which can be solved efficiently by a nonlinear primal-dual interior-point method. Performance of the PNNC method is tested on a real ac–dc interconnection system. The results demonstrate that it has the capability to generate a more evenly distributed set of Pareto solutions when compared with the normalized normal constraint (NNC) and weighted sum (WS) methods. In addition, a fuzzy-based membership value assignment method is employed to derive 96 optimal compromise solutions corresponding to 96 time periods in a whole day; the numerical outcomes show that a saving in active power loss and an improvement in the voltage profile can be gained simultaneously.
机译：在本文中，我们建立了交直流混合电力系统中多目标无功优化（MORPO）问题的数学模型。为了获得一整天该MORPO问题的Pareto解的均匀分布，我们提出了一种分段归一化法向约束（PNNC）方法。基于此方法，帕累托边界被划分为四个弧，从而减少了每个帕累托点处的切线与其下乌托邦线之间的角度波动。这样，原始的MORPO问题就转化为四组单目标优化问题，可以通过非线性的原始对偶内点法有效地解决这些问题。 PNNC方法的性能在真实的AC-DC互连系统上进行了测试。结果表明，与归一化法向约束（NNC）和加权和（WS）方法相比，它具有生成更均匀分布的Pareto解集的能力。另外，采用基于模糊的隶属度值分配方法，得出与一天中96个时段相对应的96个最优折衷解。数值结果表明，可以同时获得有功功率节省和电压曲线的改善。

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