A brand new nonlinear robust control design of SSSC for transient stability and damping improvement of multi-machine power systems via pseudo-generalized Hamiltonian theory

•A multi-machine power system installed with an SSSC is considered.•Pseudo-generalized Hamiltonian method and boundary function theory are used in this paper.•A brand new nonlinear robust control of SSSC is established.•Simulation results are obtained based on a two-area four-machine power system.•Robustness and effectiveness of the proposed nonlinear control of SSSC are demonstrated.

Nonlinear robust control of static synchronous series compensator (SSSC) is investigated in multi-machine multi-load power systems by using the pseudo-generalized Hamiltonian method. First, the uncertain nonlinear differential algebraic equation model is constructed for the power system. Then, the dissipative pseudo-generalized Hamiltonian realization of the system is established by means of variable transformation and prefeedback control. Finally, based on the obtained dissipative pseudo-generalized Hamiltonian realization, a brand new nonlinear robust controller is put forward. The proposed controller can effectively use the internal structure and the energy balance property of the power system. Simulation results demonstrate the effectiveness and robustness of the control scheme.