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无功优化问题三类解的物理特性

Physical Characteristics Analysis on Three Types of Solutions of Reactive Power Optimazation Problem

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【作者】 孟祥星韩学山潘珂

【Author】 MENG Xiang-xing,HAN Xue-shan,PAN Ke (School of Electrical Engineering,Shandong University,Jinan 250061,China)

【机构】 山东大学电气工程学院山东大学电气工程学院 济南250061济南250061

【摘要】 在有功调度方式给定的前提下,以有功网损最小作为度量指标,假设仅以连续的无功电源作为控制手段建立数学分析模型,应用非线性原对偶内点算法进行求解。从数学优化的角度按无功分布与电压水平之间牵制疏密程度定义了3种解的状态,即松弛解、局部制约解和临界制约解,分析了其物理本质、优化信息以及对电力系统运行性能的影响,并以三节点两端供电系统和IEEE 30节点系统为例予以阐述,为有效地实施无功、电压调度与控制提供了一种思路。

【Abstract】 With a given active power dispatching mode,a mathematical model is built,which takes active power losses minimum as objective function.The model supposes that all the reactive power resources are dispatched continuously,which is solved by nonlinear primal-dual interior point method.According to the correlation between the reactive power distribution and voltage level,three types of solutions,namely relaxing solution,local restricted solution and critical solution,are defined based on mathematical optimization.The physical essence of the three types of solutions is analyzed as well as the optimal information,and the effect on power system operation is explained.A 3-bus system and IEEE 30-bus system are used to validate the idea.The proposed analysis method provides a way for reactive power control and voltage regulation.

【基金】 国家自然科学基金资助项目(50377021)
  • 【文献出处】 电力系统及其自动化学报 ,Proceedings of the Chinese Society of Universities for Electric Power System and its Automation , 编辑部邮箱 ,2008年01期
  • 【分类号】TM714.3
  • 【被引频次】5
  • 【下载频次】216
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