文章摘要
樊哲新,杨知方,冯楠,等.潮流方程线性化误差分析及最优状态空间选取[J].电力系统自动化. DOI: 10.7500/AEPS20190316001.
FAN Zhexin,YANG Zhifang,FENG Nan, et al.Linear Error Analysis and Optimal State Space Selection of Power Flow Equation[J].Automation of Electric Power Systems. DOI: 10.7500/AEPS20190316001.
潮流方程线性化误差分析及最优状态空间选取
Linear Error Analysis and Optimal State Space Selection of Power Flow Equation
DOI:10.7500/AEPS20190316001
关键词: 线性潮流方程  状态空间变换  状态变量函数形式  泰勒展开  误差分析
KeyWords: linear power flow model  state space transformation  state variable  Taylor series expansion  error analysis
上网日期:2019-11-07
基金项目:国家自然科学基金青年科学基金项目(51807014),国网科技项目“基于非线性映射降阶技术的有功、无功协同调度关键技术研究及应用”,重庆市院士牵头科技创新引导专项(cstc2018jcyj-yszxX0001),重庆市科技计划项目基础科学与前沿技术研究专项重点项目(cstc2017jcyjBX0056)
作者单位E-mail
樊哲新 重庆市重庆大学电气工程学院 fzxsite@qq.com 
杨知方 重庆市重庆大学电气工程学院 yzf1992@cqu.edu.cn 
冯楠 重庆市重庆大学电气工程学院 fengnn@mail.uc.edu 
余娟 重庆市重庆大学电气工程学院 148454745@qq.com 
杨高峰 重庆市渝中区国网重庆市电力公司 9229754@qq.com 
赵科 重庆市渝中区国网重庆市电力公司 33390719@qq.com 
摘要:
      为降低潮流方程非线性给电力系统分析带来的求解难度,线性潮流方程广泛应用于诸如经济调度、规划优化、概率分析等场景中,替代原有的非线性潮流方程,以降低电网运行优化模型的复杂度。不同线性潮流方程的根本差别在于“状态变量函数形式”的选取。文中从一般的线性潮流方程出发,将潮流方程线性化误差分解为电压相角和电压幅值相关的线性化误差,通过理论推导及数值分析,提出了一种潮流方程状态空间变换的归一化分析方法。文中得到了潮流方程线性化误差的一般特性,给出了常用状态变量函数形式下潮流方程线性化误差的分布规律。基于上述理论,文中设计了一种潮流方程最优状态空间的选取方法,并对实际应用场景中选择最优的线性潮流模型进行了分析。
Abstract:
      In order to reduce the difficulty of power system analysis caused by the nonlinearity of the power flow equation, linear power flow equations are widely used in scenarios such as economic scheduling, planning optimization, and probabilistic analysis to replace the original nonlinear power flow equations. The fundamental difference among different linear power flow equations lies in the choice of the formulation of “state variables". In this paper, the linearization error of the power flow equation is decomposed into linearization errors related to voltage angle and voltage magnitude, which are quantitatively analyzed separately. A normalized analysis method for state space transformation of power flow equation is proposed to obtain the general characteristics of linearization error of power flow equation. Above all, this paper designs a method for selecting the optimal state space of the power flow equation, and the selection of the optimal linear power flow model is analyzed in the actual application scenario.
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