The Mathematical Model of Power System with Static Var Compensator in Long Transmission Line

Problem statement: It is becoming increasingly important to fully utilize the existing transmission system assets due to environmental legislation, rights-of-way issues and costs of construction and deregulation policies that introduced in recent years. The Static Var Compensator (SVC) has been proposed for the better control power flow and dynamic performance. The exact long transmission line model consists of the resistance and reactance. Most of previous researches studies transient stability performance of the SVC in SMIB System with neglecting resistance of the line. Thus the fully capability of the SVC on transient stability improvement of power system may not be applied. The consideration of the resistance causes in the difficulty of deriving mathematical model. Approach: This study investigates the effect of the SVC on transient stability of the power system with consideration the exact long transmission line mode. The concept of two-port network is applied to simplify the mathematical model of the power system. The proposed method is tested on sample system and compared on various cases. Results: The first swing of rotor angle curve of the faulted system without resistance is obviously higher than that of with resistance whereas the second swing of the faulted system without resistance is slightly less than that of with resistance. The system with the SVC can improve transient stability of power system. Conclusion: It is found from this study that the SVC and resistance of the line can improve first swing of rotor angle. The resistance of the line provides the negative effect on second swing of rotor angle. The simulation results indicate that for practical long line, the resistance is very import parameters for evaluating transient stability of power system.