The problem of stability boundary evaluation for the current power system state is of paramount importance for power system operation. In addition, maintaining stability after large scale disturbances has come to the fore in recent years. This paper presents the algorithm, which allows us to both evaluate the stability boundary of a power system and to calculate emergency control actions for maintaining stability in the case of blackout. The algorithm is based on Newton's method for solving optimization problems. There are a number of emergency actions algorithms in literature, but most of them use heuristic rules. On the contrary, the proposed method has a reasonable analytical background. Thus, having an adequate power system model, the proposed method is able to calculate more accurate control actions. The paper demonstrates the very basic idea of the approach with the simplest example.

No abstract

No abstract

The paper is devoted to implementation of Newton Method for evaluating power system points of collapse. Unlike conventional optimization procedures the proposed method doesn`t exploit loading parameter but allows to calculate Saddle-Node bifurcation point of power flow equations directly. The paper shows principal concept of the proposed method implementation to simplest power system model.

The paper is devoted to the stability and feasibility boundary evaluation. New technique for evaluating shortest distance to feasibility boundary is described and tested. The technique is based on analysis of Jacobi matrix form the power flow routine. Described technique can be applied together with PMU-based identification procedures leading to new opportunities for on-line power system stability monitoring.