Coordinated parameter design of power system stabilizers and static synchronous compensator using gradual hybrid differential evaluation

• A novel algorithm is developed call GHDE in this paper, which employs the gradual search method on HDE to enhance the probability of searching for an optimal solution.
• Another, the damping scale is used as an objective function to coordinate all PSSs, STATCOM, and STATCOM damping stabilizer (SDS) control parameters under various power system operating conditions.
• In this paper, the experimental result proved the gradual method is best than the 1/5 success rule that is more able to find a set optimal parameters.
• The appraised the performances of GHDE are exceed GSTHDE.

In this study, the damping scale function is used as an objective function to coordinate power system stabilizers and a static synchronous compensator with damping stabilizer parameters under various power system operating conditions to address high-frequency oscillation problems. The gradual hybrid differential evaluation algorithm developed in this study employs the gradual search method on the hybrid differential evaluation to enhance the probability of finding an optimal solution. A 16-machine power system is used to estimate the feasibility of the proposed objective function and algorithm. In the test system, all machines have stabilizers installed, and a static synchronous compensator with a damping stabilizer is placed on bus 17. The input signals of the damping stabilizer and power system stabilizers include local and remote voltage or speed deviation signals, respectively. The proposed objective function and the objective function of the combined damping factor and damping ratio are used to search for optimal power system stabilizers, and a static synchronous compensator with damping stabilizer parameters with the gradual hybrid differential evaluation algorithm and previous gradual self-tuning hybrid differential evaluation algorithms are tested under various operating conditions. The results in the frequency and time-domains reciprocally demonstrate the reliability of the simulation results. Analysis of the results indicates that the damping scale and the gradual hybrid differential evaluation algorithm can effectively coordinate power system stabilizers and the static synchronous compensator with damping stabilizer parameters to increase the transient stability of a power system.