Nonlinear Adaptive Controller Design for Power Systems with STATCOM via Immersion and Invariance

Abstract

In this paper, a nonlinear adaptive control of generator excitation and Static Synchronous Compensator (STATCOM) is proposed to enhance the transient stability and voltage regulation of an electrical power system. The proposed controller is designed via an adaptive immersion and invariance (I&I) methodology. In particular, a nonlinear model of the power system including two unknown constant parameters, namely an unknown damping coefficient and an unknown perturbation in mechanical power, is considered. It will be shown that the adapive I\&I control law and the parameter adaptation law proposed can accomplish the convergence of the system states to the real value of unknown parameters. Additionally, they can achieve transient stabilization along with voltage regulations. The adaptive I&I controller is validated using a simulation study on a single-machine infinite bus (SMIB) power system and compared with the standard I&I controller and an adaptive backstepping controller. Simulation results are given to indicate the effectiveness of the proposed controller for the transient stabilization and voltage regulation.

Nonlinear recursive gain asymptotic tracking controller design for hydraulic turbine regulating systems

“…The mathematical model (10) demonstrates that the HTRS is extremely intrinsically nonlinear, as can be observed.…”

“…The control gains for this strategy are chosen as follows: c 1 = c 2 = 0.01, c 3 = c 4 = 50, 𝜏 2 = 𝜏 3 = 𝜏 4 = 0.01. • The SC [10]…”

“…Theorem 1. Under Assumptions 1 and 2, the closed-loop dynamics consisting of the HTRS model (10); the control law (28); the virtual control functions ( 16), ( 17), (22), and (23); and fictitious signals ( 18),( 24), (29), and (30) are considered. If there exists a set of suitable design parameters k 𝑗 , ( 𝑗 = 1, 2, 3, 4) and 𝜖 i𝑗 , i = 1, 2, satisfying Let us introduce the Lyapunov function candidate as follows.…”

“…Numerous control techniques, such as PID control algorithms [1,2], intelligent control [3], and nonlinear control approaches [4][5][6][7][8][9][10], among others, have been developed and put into use to stabilize the HTRS. Jiang et al [1] proposed an evolutionary programming approach to PID controller design.…”

“…The terminal voltage controller and mechanical power performance are both improved using the developed control law. Kanchanaharuthai [10] has recently developed a nonlinear stabilizing feedback controller for the HTRS model using an immersion and invariance strategy. This method is able to regulate frequency and enhance dynamic performance despite the presence of large disturbances.…”