Application of new Method to Solve Load Flow Problem in Power Systems with High Ratio of R/X

In the power system, usually the reactance of transmission line is greater than its resistance and thereby power flow algorithms such as Newton Raphson methods and newton based methods can easily converged. However, in the case of series compensation such as series capacitor, the reactance of transmission line is decreased and accordingly the ratio of R/X is increased. In such case system condition is changed and therefore Newton based power flow methods will converged hardly or even diverged. In fact, with increase of R/X ratio, conventionally the system condition number (the ratio of maximum to minimum eigenvalue of Jacobian matrix) is increased and Newton Raphson method is not converged. In this paper, a new iterative based method is present to solve power flow of system with high ratio of R/X. The main advantage of the proposed method is its independence to R/X ratio and will converged even for system with high ratio of R/X. The suggested method is studied based on IEEE 9-bus, 30-bus and 118-bus also 11-bus and 2383-bus test systems. The obtained results show the effectiveness and accuracy of the proposed method in solving power flow problem of power systems, independent to R/X ratio.