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基于泰勒级数的PV曲线求取及参变量选择分析

PV Curve Calculation Based on Taylor Series and Parameter Selection Analysis

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【作者】 吴成业刘光晔罗经纬

【Author】 WU Chengye;LIU Guangye;LUO Jingwei;College of Electrical and Information Engineering, Hunan University;

【机构】 湖南大学电气与信息工程学院

【摘要】 PV曲线是电力系统静态电压稳定分析的重要工具。应用泰勒级数法可快速求取计及无功约束时的PV曲线。针对以往文献在以功率参量为参变量时,泰勒级数在电压稳定临界点处不收敛的问题,研究了应用泰勒级数解决电压稳定问题时参变量的选择方法,证明了以电压模为参变量的可行性。推导了PV节点无功约束量关于功率参变量的泰勒解析式,由此可根据无功上限来预测无功越界时的系统功率参数值。建立了PQ节点有功功率关于电压模的泰勒级数,根据解析关系式可直接绘制负荷节点的PV曲线。最后通过对IEEE 30节点系统仿真验证了所提方法具有较快的计算速度和较高的计算精度。

【Abstract】 PV curve is an important tool for power system static voltage stability analysis. Applying Taylor series can help to rapidly calculate PV curve under reactive power constraint. Parameter selection method for Taylor series applied to solve voltage stability problems is studied in this paper. Feasibility of selecting voltage modulus as parameter is proved. It solves previous problem of Taylor series not convergent at critical voltage point when power variables are used as parameters. As new parameter is selected, new PV curve sets voltage modulus as independent variable and load power as dependent variable. Taylor analytic polynomial of PV bus reactive power and PQ bus active power is deduced and flow chart calculating PV curve under reactive power constraint is obtained. Simulation result of IEEE 30 nodes proves that the proposed method has higher calculation efficiency and accuracy.

【基金】 国家自然科学基金项目(51577053)~~
  • 【文献出处】 电网技术 ,Power System Technology , 编辑部邮箱 ,2017年04期
  • 【分类号】TM712
  • 【被引频次】10
  • 【下载频次】209
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