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A new nonlinear equivalent input disturbance‐coordinated control (NEIDCC) based on the multi‐input multi‐output (MIMO) nonlinear differential algebraic equations (MIMONDAE) is proposed to enhance both small signal and transient stabilities of multi‐machine power systems. In this method, adaptive multi‐objective equations satisfying the Brunovsky normal form are constructed to govern the objective functions converging to their reference trajectories with expected performance criteria. The Γ derivative is defined, which connects nonlinear equivalent inputs and the designed inputs in linear space. When the system is subjected to disturbance, the designed equivalent inputs supply dynamic damping to stabilize the oscillations. As a result, the control systems hold good small signal and transient stabilities. The simulation results of coordinated control for the practical systems, which consist of steam turbine and hydraulic turbine generators connected with Microgrid, demonstrate the effectiveness of the NEIDCC method. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. [ABSTRACT FROM AUTHOR]

For the first time, we apply the sum-of-squares (SOS) decomposition technique for robust control of power systems. We propose an SOS L2 robust control scheme aiming at a power system characterized by exogenous disturbances. A set of states-related inequalities are utilized to guarantee L2 gain disturbance attenuation performance of the system. It involves semidefinite programming relaxations based on the SOS decomposition technique, which is employed to solve the inequalities that bring about robust control of the system. This method is superior to other traditional approaches. It is able to construct a robust controller that guarantees L2 gain disturbance attenuation performance of the system featuring exogenous disturbance by the SOS algorithm without solving Hamilton-Jacobi inequalities or using the recursive design of back-stepping. Then, the proposed approach is applied to derive a robust excitation controller for multimachine power systems. Moreover, a three-machine power system model is employed to test the robust excitation controller, which finally verifies its effectiveness and superiority. © 2017 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. [ABSTRACT FROM AUTHOR]

This paper proposes a novel multi-index nonlinear robust control (MNRC) approach for multi-machine power systems. The MNRC approach combines multi-index nonlinear control with the [ABSTRACT FROM AUTHOR]