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电网技术  2015 

基于改进内点半定规划算法的拟直流最优潮流

DOI: 10.13335/j.1000-3673.pst.2015.09.027, PP. 2553-2558

Keywords: 最优潮流,拟直流模型,原-对偶内点法,改进半定规划算法,变量优化重组

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Abstract:

拟直流最优潮流(quasidirectcurrentoptimalpowerflow,QDCOPF)模型将复杂的非线性规划问题线性化处理,使得问题模型结构简单,求解速度快,但是计算精度偏低。基于此,提出一种基于改进内点半定规划(modifiedsemi-definiteprogramming,MSDP)算法的QDCOPF。一方面,该算法采用半定规划(SDP)算法求解QDCOPF模型,充分利用了SDP鲁棒性强,对初值不敏感和可以收敛到全局最优解的优良性质;另一方面,对映射到SDP模型中的变量进行优化重组,将具有代数关系的变量组成一个变量组,形成一个程序运行子块,加强模型块内部变量联系的同时,减小模型块间变量的耦合。对IEEE30、118、300节点系统的仿真测试结果表明,基于MSDP的QDCOPF算法比传统QDCOPF的求解算法具有更高的计算精度和计算效率,从而验证了所提算法的可行性和高效性。

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