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基于准稳态模型的中长期电压稳定轨迹多项式逼近方法
Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory
- 电力系统自动化-方正平台 2020年44卷第8期 页码：116-123
- 作者机构：
1.浙江大学电气工程学院，浙江省杭州市 310027
2.国网浙江省电力有限公司，浙江省杭州市 310014
3.国网浙江省电力公司科学研究院，浙江省杭州市 310014
- 作者简介：
夏冰清(1994—)，女，博士研究生，主要研究方向：电力系统稳定性、多项式逼近。E-mail：bqxia@zju.edu.cn
申丹枫(1993—)，男，博士研究生，主要研究方向：多项式逼近理论、电力系统不确定性量化。E-mail：dfshen@zju.edu.cn
郑翔(1983—)，男，博士，高级工程师，主要研究方向：电力系统调度运行控制、在线安全稳定分析。E-mail：zhengxiang@zj.sgcc.com.cn
吴浩(1973—)，男，通信作者，博士，副教授，主要研究方向：电力系统负荷建模、稳定性分析、连锁故障分析、多项式逼近方法应用等。E-mail：zjuwuhao@zju.edu.cn
- 基金信息：国家自然科学基金资助项目(51777184);国家电网公司总部科技项目(521104170013)
DOI：10.7500/AEPS20190903005
中图分类号：收稿日期：2019-09-03，
修回日期：2019-11-30，
网络出版日期：2020-02-17，
纸质出版日期：2020-04-25
- 稿件说明：
移动端阅览
夏冰清,申丹枫,郑翔等.基于准稳态模型的中长期电压稳定轨迹多项式逼近方法[J].电力系统自动化,2020,44(8):116-123.
XIA Bingqing,SHEN Danfeng,ZHENG Xiang,et al.Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory[J].Automation of Electric Power Systems,2020,44(8):116-123.
夏冰清,申丹枫,郑翔等.基于准稳态模型的中长期电压稳定轨迹多项式逼近方法[J].电力系统自动化,2020,44(8):116-123. DOI： 10.7500/AEPS20190903005.
XIA Bingqing,SHEN Danfeng,ZHENG Xiang,et al.Quasi-steady-state Model Based Polynomial Approximation Method of Medium- and Long-term Voltage Stability Trajectory[J].Automation of Electric Power Systems,2020,44(8):116-123. DOI： 10.7500/AEPS20190903005.
摘要
针对电力系统中存在的影响中长期电压稳定性的可变参数，提出了一种基于准稳态模型的中长期电压稳定轨迹的多项式逼近方法
该方法可以利用所得的多项式逼近函数准确地分析系统参数的变化对中长期电压稳定性的影响。多项式逼近作为分析参数对系统状态影响的有效工具，其基本思想是用多项式近似地表示连续函数，文中在此基础上考虑电力系统中长期过程中的连续动态和离散动态，通过传统伽辽金方法构造出能够显式地描述系统变量与参数之间近似关系的多项式逼近式。与传统的线性化方法相比，由于文中所提方法可以描述系统的非线性特征，所以逼近精度有大幅提升，且方法的精度随着所选多项式基函数阶数的增加而提高。Nordic 74节点系统的算例分析结果表明该方法能在中长期电压稳定问题的研究中提供更准确的分析结果。
Abstract
There are many variable parameters in power systems which affect the stability of medium- and long-term voltage stability
a quasi-steady-state model based polynomial approximation method of medium- and long-term voltage stability trajectory is proposed. With this method
the impact of system parameter variation on medium- and long-term voltage stability can be accurately analyzed by using polynomial approximation function. Polynomial approximation is regarded as an effective tool to analyze the impact of analysis parameters on system state
the basic idea of which is approximating a continuous function with polynomial. Based on it
continuous dynamic and discrete dynamic in medium- and long-term power system are considered
and a polynomial approximation expression which can explicitly describe the approximation relationship between system variables and parameters is formed by the traditional Galerkin method. Compared with the traditional linearization technique
the approximation precision is increased greatly because the proposed method can describe the nonlinear characteristics of the system. In addition
the accuracy of the proposed method increases with the increase of the degree of the selected polynomial basis function. Case analysis results of Nordic 74 node system show that the method can provide more accuracy analysis results in the study of medium- and long-term voltage stability problems.
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references
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