Coordinated control of static synchronous compensator and automatic voltage regulator in multi-machine power systems using pseudo-generalized Hamiltonian theory

Abstract

Flexible alternating current transmission system devices are widely used to enhance the power transfer limit and stability improvement in transmission networks. They also help damp out both local and inter-area low-frequency oscillations. Using pseudo-generalized Hamiltonian theory, this article investigates the coordinated control of automatic voltage regulator of synchronous generator and static synchronous compensator in multi-machine power systems. First, via a proper variable transformation and pre-feedback control, the dissipative pseudo-generalized Hamiltonian realization of the static synchronous compensator and power system are completed, respectively. Then, based on the obtained dissipative pseudo-generalized Hamiltonian realization, a brand new nonlinear coordinated control law is constructed. Simulation results indicate that the proposed coordinated control scheme can effectively improve both the transient stability and voltage regulation performance of the power system.

Global continuous robust finite‐time control design for unified power flow controller

“…Remark To the best of our knowledge, the chattering properties and discontinuity of the FT controllers are common phenomena. As Lei et al pointed out, although the feedback linearization control method is nonlinear and, therefore, relatively independent of operating conditions, nonlinear systems to which linear feedback is applied often suffer from degradation of performance when the operating point is far from the point about which the system was originally linearized . As has been mentioned, the greatest advantage of the Hamilton function method is that it can effectively use the internal structural characteristics during the controller design .…”

“…25,27 As has been mentioned, the greatest advantage of the Hamilton function method is that it can effectively use the internal structural characteristics during the controller design. 10,25,27 Using the Hamiltonian function method and the "energy shaping plus damping injection" technique, by taking full advantage of the internal structural characteristics of original model, a chattering-free GCRFTC of UPFC is designed to solve the problems of reference tracking, robustness against uncertainties, and external disturbances and improve transient stability and damping of power system. Therefore, the chattering phenomena and high-order frequencies for the FT control problem are effectively avoided.…”

“…As Lei et al pointed out, although the feedback linearization control method is nonlinear and, therefore, relatively independent of operating conditions, nonlinear systems to which linear feedback is applied often suffer from degradation of performance when the operating point is far from the point about which the system was originally linearized . As has been mentioned, the greatest advantage of the Hamilton function method is that it can effectively use the internal structural characteristics during the controller design . Using the Hamiltonian function method and the “energy shaping plus damping injection” technique, by taking full advantage of the internal structural characteristics of original model, a chattering‐free GCRFTC of UPFC is designed to solve the problems of reference tracking, robustness against uncertainties, and external disturbances and improve transient stability and damping of power system.…”

“…Due to this and its nice structure with clear physical meaning, one of the distinctive advantages of the Hamiltonian function is that it is able to effectively use the internal structural characteristics during the controller design . Thus, the Hamiltonian function method is widely applied to the control of power systems . In order to obtain a convergence in a given time, finite‐time (FT) control methods are proposed.…”

“…24 Thus, the Hamiltonian function method is widely applied to the control of power systems. 10,[25][26][27][28][29] In order to obtain a convergence in a given time, finite-time (FT) control methods 6,7,30 are proposed. Furthermore, the FT control strategies have demonstrated better robustness and disturbance rejection properties.…”