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基于奇异值分解和内点法的交直流系统无功优化 被引量:24

Reactive Power Optimaztion of AC/DC Power System Based on Singular Value Decomposition and Interior Point Method
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摘要 基于奇异值分解和预测-校正原对偶内点法,提出了一种交直流系统无功优化策略。首先基于交直流网络间的耦合关系,并利用奇异值分解的右奇异向量指标判别交直流系统电压稳定弱节点,候选为无功补偿节点;然后建立了以有功网损、无功补偿设备的投入、电压水平为目标的无功优化数学模型,在推导出交直流系统耦合的Jacobi、Hessian矩阵后,采用预测-校正原对偶内点法进行求解,从而获取优化补偿节点及补偿节点的优化补偿容量。经算例仿真验证了该策略的有效性和快速收敛性。 Based on singular value decomposition and predictor-corrector primal-dual interior point algorithm, a new strategy is proposed to optimizing reactive power of AC/DC power system. First, according to the coupled relationship of AC/DC network, the right singular vector index, which is obtained by singular value decomposition, is applied to identify weak bus as candidate nodes for installing new reactive compensation equipment; and then, a model of multi-objective reactive power optimization is established. The objectives consist of three important terms: network loss, application of reactive compensation equipment and voltage level. After the Jacobian and Hessian matrix of AC/DC system is extrapolated, the multi-objective model can be calculated with predictor-corrector primal-dual interior point method. Meanwhile, the optimized location and capability is obtained. At last, the simulation results show the validity and fast astringency of the strategy.
出处 《电工技术学报》 EI CSCD 北大核心 2009年第2期158-163,共6页 Transactions of China Electrotechnical Society
关键词 交直流系统 奇异值分解 内点法 无功优化 AC/DC power system, singular value decomposition, interior point algorithm, reactive power optimaztion
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