Multi-Source Power System LFC Using the Fractional Order PID Controller Based on SSO Algorithm Including Redox Flow Batteries and SMES

摘要

Load Frequency Control (LFC) of two-area interconnected power system using Fractional Order Proportional-Integral-Derivative (FOPID) controller based on Social Spider Optimization (SSO) algorithm is investigated in this paper. The FOPID controller is a non-integer order controller that improves the performance of the integer order PID controller. The difference between the FOPID and PID controller is fractional order of integrator and derivative in FOPID that make two degree of freedom in designing. In other word, the FOPID controller has five parameters to be tuned for exact performance. Hence, SSO algorithm is chosen to optimal tune the FOPID controller parameters in this paper. The test system is the two area multisource interconnected power system including reheat thermal, hydro, gas and diesel power plants. The proposed objective function consists of Integral of Time multiply Absolute Error (ITAE) plus sum of settling times of frequency deviation of each control area and tie-line power flow deviation that are associated with proper weighted coefficients. Also, to show the stability of FOPID controller the generation rate constraint is considered in this study and the Redox Flow Batteries (RFBs) and Super Magnetic Energy Storage (SMES) is used to improve the dynamics of the system response under the load disturbances and system nonlineariry. The simulation results reveal the good performance of the SSO based on FOPID controller in LFC problem.