Study Of Static Voltage Stability Based On The Generalized Tellegen’s Theorem To Calculating The Minimum Singular Value Quickly

With the scale of power network expanding, the risk of voltage stability increasedpotentially. The minimum singular value as one of the judgement index of static voltagestability, Can well reflect the static voltage stability margin and widely used, therefore, in thisdissertation, the fast calculating the minimum singular value and singular valuedecomposition method is used to analyse the static voltage stability problem launches theresearch, research work is as follows:For large-scale power system, the disadvantages of minimum singular value analysismethod is the amount of calculation is too large. Therefore, from two aspects to improving thecalculating speed of the minimum singular value: One is to improve the computing speed ofthe link of power flow calculation; The second is to improve the calculation speed based onJacobi matrix to calculate the minimum singular value.Based on the traditional type of current injection flow algorithm model to calculating theminimum singular value, this model mainly simplify for PQ node iterative correction equation,This method raised the minimum singular value of the calculating speed; Secondly based onthe improved current injection type model to calculating the minimum singular value, In theprocess of this method in the current iteration computation of PQ node and PV nodes iterativecorrection equation is simplified, Further improve the computing speed of the minimumsingular value in tidal current operation link.Based on the current type injection flow algorithm of the generalized Tellegen’s theoremrapidly to calculating the minimum singular value, this algorithm make the PV nodes and PQnodes with similar iterative method, using the small perturbation theorem of generalizedTellegen’s theorem to correct the trend of operation, the equation of the iterative calculation,the minimum singular value of the calculating method is of better convergence and fastercalculation speed.This dissertation constructs the generalized Tellegen’s theorem of current injected PQJacobi matrix model of tide, demonstrates the trend of PQ and reasoning of Jacobi matrix andtrend of the Jacobi matrix of equivalence. This model is at the end of the current iteration ofthe PQ Jacobi matrix on the basis of minimum singular value to calculate, Its characteristic isto reduce the dimension of the Jacobi matrix to the PQ node number and reduced theminimum singular value in the process of solving matrix inversion calculation. For PV nodesamount of large power system, calculate the minimum singular value of the calculation speedadvantage will be more obvious.With the generalized Tellegen’s theorem in this dissertation, current injected PQ Jacobimatrix model of trend, In the case of IEEE-30system, to calculate the minimum singularvalue through reduced load test to determine the single load fault or the load after cutting theassociated with the system voltage stability critical load node, And through the case analysis to determine the priority of the principle of removal of the load and the removal of the load;Through the bolt experiment to calculate the minimum singular value to look for in linemaintenance or break cases related to the system voltage stability critical branch.