ANALYSIS OF TWO AREA LOAD FREQUENCY CONTROL EMPLOYING DIFFERENT COMPUTATIONAL METHODS

Abstract-In the traditional interconnected power systems, the LFC plays an important role, which constantly requires different Control Areas (CA) to share the regulation burden of the control area that lacks regulation capacity by providing the power supports via the tie-line. Such process results in extra regulation costs due to wear and tear of generating units which may result in unfairness and CA’s deviate from the LFC command. This situation becomes even more serious with the integration of intermittent renewable energy such as wind and solar power. The main objective of this paper is to control the load and frequency of the power system by using the Differential Game approach. In previous research, the PI controller with Genetic Algorithm (GA) was implemented. But the disadvantage associated with the GA is that it requires the repeated fitness function evolution for complex problem and also the stop criterion is not clear. In the proposed method, the Differential Game (DG) approach is implemented. Despite the challenge associated with the computational complexity, the DG theory is a powerful mathematical tool for solving the multiplayer multi objective optimization problems. With two-area LFC model, non-co-operative equilibrium solutions and two cooperative equilibrium solutions with different time consistency properties are derived. The proposed strategies are then applied to a two-area power system and compared with the traditional Proportional–Integral (PI) controller and optimal controller. The proposed method implemented in MATLAB/Simulink and maintains the stability of the system frequency by balancing the total generation and total loads.