电力系统保护与控制
電力繫統保護與控製
전력계통보호여공제
POWER SYSTM PROTECTION AND CONTROL
2014年
18期
1-8
,共8页
马静%李俊臣%李益楠%王增平
馬靜%李俊臣%李益楠%王增平
마정%리준신%리익남%왕증평
改进自由权矩阵%L-K泛函%时滞上限%广义特征值
改進自由權矩陣%L-K汎函%時滯上限%廣義特徵值
개진자유권구진%L-K범함%시체상한%엄의특정치
improved free-weighting matrices%L-K functional%time-delay upper bound%generalized eigenvalue problem
提出了一种利用改进自由权矩阵与广义特征值(Generalized Eigenvalue Problem, GEVP)判定系统时滞稳定上限的方法。首先构造一类新的Lyapunov-Krasovskii泛函，并求解该泛函沿系统的导函数。然后，在导函数中加入必要的松散项以降低该方法保守性。在此基础上，利用gevp求解系统的时滞稳定上限。IEEE 4机11节点系统和16机68节点系统时域仿真结果验证了该方法能够有效求解电力系统所能承受的最大时滞。
提齣瞭一種利用改進自由權矩陣與廣義特徵值(Generalized Eigenvalue Problem, GEVP)判定繫統時滯穩定上限的方法。首先構造一類新的Lyapunov-Krasovskii汎函，併求解該汎函沿繫統的導函數。然後，在導函數中加入必要的鬆散項以降低該方法保守性。在此基礎上，利用gevp求解繫統的時滯穩定上限。IEEE 4機11節點繫統和16機68節點繫統時域倣真結果驗證瞭該方法能夠有效求解電力繫統所能承受的最大時滯。
제출료일충이용개진자유권구진여엄의특정치(Generalized Eigenvalue Problem, GEVP)판정계통시체은정상한적방법。수선구조일류신적Lyapunov-Krasovskii범함，병구해해범함연계통적도함수。연후，재도함수중가입필요적송산항이강저해방법보수성。재차기출상，이용gevp구해계통적시체은정상한。IEEE 4궤11절점계통화16궤68절점계통시역방진결과험증료해방법능구유효구해전력계통소능승수적최대시체。
A method to determine the time-delay upper-bound of the existing wide-area controller of low frequency oscillation based on improved free-weighting matrix and generalized eigenvalue problem (GEVP) is proposed. Firstly, a new class of Lyapunov-Krasovskii functional is constructed. Secondly, the derivation function along the system is solved. On this basis, necessary loose items are added to the derivation function in order to reduce the conservative, and a set of matrix linear inequalities is formed. Then the upper-bound of delay stability of wide-area controller is solved by means of GEVP. Finally, the time-domain simulation of the IEEE 4-machine 11-bus test system and IEEE 16-machine 68-bus test system demonstrate that the method of solving time-delay stability upper-bound of power system wide-area controller based on improved free-weighting matrices can be applied to different control methods and different types of power systems.
