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CTODE和CTDAE模型及其在电力系统时滞稳定分析中的应用 被引量:1
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作者 余晓丹 贾宏杰 王成山 《中国科学:技术科学》 EI CSCD 北大核心 2013年第5期533-544,共12页
本文结合电力系统广域控制系统的特点,提出采用带约束时滞微分方程(Constraint Time-delay Ordinary Differential Equation,CTODE)和带约束时滞微分-代数方程(Constraint Time-delay Differential Algebraic Equation,CTDAE)两种新模... 本文结合电力系统广域控制系统的特点,提出采用带约束时滞微分方程(Constraint Time-delay Ordinary Differential Equation,CTODE)和带约束时滞微分-代数方程(Constraint Time-delay Differential Algebraic Equation,CTDAE)两种新模型来描述含时滞环节电力系统动态的新思路,两类模型能有效降低描述时滞环节模型的方程维数,从而可有效提高时滞电力系统稳定分析计算的效率.进一步,借助一个典型时滞系统,对比分析了如下两种计算过程在采用新模型和原有模型时的计算效率:一是利用优化方法求解时滞系统的特征值轨迹;二是采用Lyapunov-Krasovskii稳定判据,对时滞系统进行判稳分析,计算结果表明,采用两类新模型可提高上述分析计算过程的运算效率.两类模型对寻求电力系统高效的广域控制技术具有一定帮助. 展开更多
关键词 时滞稳定性 电力系统 TDAE模型和TODE模型 ctode模型和CTDAE模型
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CTDAE & CTODE models and their applications to power system stability analysis with time delays 被引量:6
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作者 YU XiaoDan JIA HongJie WANG ChengShan 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第5期1213-1223,共11页
In this paper,two new models suitable for power system stability analysis with considering time delays are derived.They are constraint time-delayed ordinary differential equation model(CTODE model) and constraint time... In this paper,two new models suitable for power system stability analysis with considering time delays are derived.They are constraint time-delayed ordinary differential equation model(CTODE model) and constraint time-delayed differential algebraic equation model(CTDAE model).In these two models,dimension of the time-delayed equation is significantly reduced so as to speed up the calculation efficiency.Detail derivations to their nonlinear and incremental linear forms are given.And,some of their good features are discussed.Finally,a typical time-delayed system and single-machine-infinite-bus system are selected to validate the new models through Lyapunov-Krasovskii criterion and eigenvalue locus tracing procedure.It reveals that some unnecessary calculations in the algorithm can be avoided to achieve higher efficiency based on new models.The new models and new criterion given in this paper are helpful to design wide area protectors for bulk power systems. 展开更多
关键词 time delay power system CTDAE model and ctode model TDAE model and TODE model
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