Study On Seeking The Critical Point Of Static Voltage Stability Based On The Generalized Tellegen's Theorem

As continuous extension of power systems and the frequent occurring of the voltage collapse, the voltage instability problem has been paid much attention to. Seeking the critical point of voltage stability quickly and truly is an important problem which electric workers quite pay attention to.Continuation Power Flow algorithm is used commonly in tracing the critical point of static voltage stability of power system. In this dissertation, based on the analysis of current Continuation Power Flow and the generalized Tellegen's Theorem, the generalized Tellegen's Theorem is applied to carry on the forecast and gains the forecast amounts using sensitivity computing method of the generalized Tellegen's Theorem. This method can improve astringency near the critical point of static voltage stability and increase the calculating speed of continuation power flow. A new method with controlled step size automatically is presented, giving consideration to both astringency and computation speed rationally. The generalized Tellegen's Theorem integrated with PQ decoupled load flow replaces Newton load flow in the adjustment to adjust forecast amounts and improve calculating speed of arithmetic.The analysis and simulation results indicate that the arithmetic proposed in this dissertation based on the generalized Tellegen's Theorem seeking the critical point of voltage stability has veracity and speediness and broadens application domain of the Tellegen's Theorem.