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Dołączył: 22 Lip 2010
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Wysłany: Pon 15:42, 29 Lis 2010 |
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Detection System Jacobian singularity and the island's new method of network
ECTIONOFNETWORKISLANDINGBieChaohongWangXifan (XianJiaotongUniversity, Xian, 710049) ABsTRACTInthepaper, amethodisproposedfordetectionofJacobiansingularityandnetworkislandingbasedoncheckingthelineardependencyamongthecolumnsoftheJacobiansubmatrixHduringitsfactorisafionprocess. Allrequiredistoperformabackwardsustitutioncalculation. Anexaminationofthecoefficientsallowsustoestablishwhetherthenetworkisislandedandifislandedwhichbusesarelncludedlnthisislandscanbedetermined. Themethodissimple, andfeasibleforboththeNewtonmethodandthefastdecoupledmethod. Theprocedurecanbeeasilyappendedtotheexistingloadflowprogram. Aseriesofnumericalexamplesgiveninthepaperdemonstratethevalidityandefficiencyofthemethod, KeyWordsJacobianmatrix, singularity,[link widoczny dla zalogowanych], networkislanding discussion a new content of this article is Theorem 3, but added proof, I still doubt this Theorem, as well as the Jacobian matrix, aP. / Av key, and the voltage instability, the Jacobian matrix will be singular. At this point the ship / items play a leading role. A: Theorem 3, taking into account the views of the reviewers, Theorem 3 can be resistance to change: If the Jacobian matrix singular sub-matrix H, the Jacobian matrix is also singular. Where: =; r doing such a change,[link widoczny dla zalogowanych], the theorems are more closely r, and does not affect the detection method, because the detection of only 3 in 1999 detection system Jacobian matrix singularity and the network of the new island Methods used to determine the following: a singular Jacobian matrix at singularity. The Jacobian matrix is singular, it is also strange day, nothing to do with the detection method. The original description is not accurate enough to prove the following: the Jacobian matrix can be expressed as the following form: [;] with assumptions on a \q ・ = 0 (not all zero) (1) where Ci is a column vector on the matrix is the coefficient of correlation. by the power flow calculation, we can see the expression of the Jacobian matrix of the same node, H matrix and the 'matrix elements, with the same expression, =, J = and so on. ', each column vector of matrix should satisfy (1),[link widoczny dla zalogowanych], that Σci 10 (2) where c; yes' column vector matrix. merger (1) and (2), can be Σ \Theorem is proved. Question 2 is just by the title of this article, \A: The method and topological comparison method in time, we have done comparison, the table below. (Units; ms) calculated topological method of Newton method for rapid decomposition of a test system IEEE 14O. 8220.050.016IEEE a 303.2400.490.067IEEE a 118137.25I29076 can be seen from the table,[link widoczny dla zalogowanych], this method is obvious speed advantage, but this method can not be obtained topological information law (article has been described),[link widoczny dla zalogowanych], so this is clearly the method proposed by the topological method is better than a one-stop 0 ∞ jack
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