Efficiency and Reliability Improvement of Solving Power Systems Steady-State Stability Limit Operation Equations

Various mathematical models and methods for solving steady-state stability limit (SSSL) operation equations of electric power systems are analyzed. It is shown that the Newton method is the optimal since it provides sufficiently fast convergence, yet it is sensitive to initial approximation. For the efficiency improvement purpose of SSSL calculation based on the singular value decomposition, a calculation methodology of the initial approximation values of SSSL equations eigenvector elements has been developed. A methodology of the Newton method step-size constraint where the calculation of initial approximations faces difficulties has been developed. The implementation is carried out according to the Eneev-Matveev method. It is shown that the proposed methodology application improves the reliability of obtaining a solution of the SSSL equations at various points of the limiting hypersurface.