A Sequential Conic Programming Approach for the Coordinated and Robust Design of Power System Stabilizers
A Sequential Conic Programming Approach for the Coordinated and Robust Design of Power System Stabilizers
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DOI：
10.1109/tpwrs.2010.2040637
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发表时间：
2010-08-01
影响因子：
6.6
通讯作者：
Martins, Nelson
中科院分区：
文献类型：
--
作者：
Jabr, Rabih A.;Pal, Bikash C.;Martins, Nelson
本文表明，二次规划是解决鲁棒电力系统稳定器（PSS）设计问题（即协调增益调谐和协调相位增益调谐）的有效工具。设计鲁棒性是通过同时考虑多个操作场景来实现的。该方法通过一系列的二次规划运行来实现，这些运行定义了一个多变量根轨迹，特征值沿着根轨迹移动。具体来说，与不稳定和低阻尼模态相对应的特征值被移动到s平面左半部分的圆锥扇形中，而与良好阻尼模态相对应的特征值被限制在该圆锥扇形的边界内。在求解的每一步，PSS设计参数都被限制在一个信任区域内，使得基于残差法的特征值位移计算有效。该方法在一个68总线的测试系统上进行了验证，该系统具有9种不同的工作状态。比较了PSS协调增益调谐和增益与相位特性同步调谐的二次规划实现。
This paper shows that conic programming is an effective tool to solve robust power system stabilizer (PSS) design problems, namely coordinated gain tuning and coordinated phase and gain tuning. Design robustness is achieved by simultaneously considering several operating scenarios. The method is implemented through a sequence of conic programming runs that define a multi-variable root locus along which the eigenvalues move. Specifically, the eigenvalues corresponding to the unstable and poorly damped modes are moved to a conic sector in the left half of the s-plane, whereas the eigenvalues corresponding to the well damped modes are constrained to stay within the boundaries of this conic sector. At each step of the solution, the PSS design parameters are restricted in a trust-region such that the computation of the eigenvalue shift based on the residue method holds valid. The proposed method is demonstrated on a 68-bus test system with nine different operating conditions. Comparisons are carried out between conic programming implementations for PSS coordinated gain tuning and for simultaneous tuning of gain and phase characteristics.