Improving Rotor Angle Stability of the Multimachine Power System Using Constrained Optimal Control

Abstract

This paper proposes a transient stability analysis of the multi-machine power systems. Rotor angle stability refers to the ability of synchronous machines to a power system to remain in synchronism after being subjected to a disturbance. It assumes a Single Machine Infinite Bus and two Machine Power System connected with a transmission line lossy are investigated. The linearized dynamical equations of the multi-machine power system are obtained near to an equilibrium point, and it can stabilize by using decentralized constrained optimal control. The relationship between the open-loop poles and the closed-loop poles that guarantee a positive regulator and quadratic is gaining stability. The feedback gains matrices can be achieved by applying the corresponding Riccati equations approach to each machine with bounded constraints. A successful strategy for control of large-scale power systems must satisfy these conditions to become robust and decentralized in terms of gain; phase margins and tolerance to the nonlinearity inside the subsystems. The numerical simulation test of the multi-machine power system showed the results. This study found that a decentralized control strategy that improves the rotor angle stability of the multi-machine power system is satisfied. The paper designed computation and simulation as a method to achieve the final results.