access icon free Fractional order control of static series synchronous compensator with parametric uncertainty

In modern power systems the smooth control of active power flow is one of the major concerns for power industry. In the current study the authors devise an adaptive fractional order robust damping control system for static series synchronous compensator connected to an infinite power transmission network. A detailed non-linear state model is presented with inclusion of parametric uncertainties, disturbances and other non-linearities. A novel fractional order sliding manifold is proposed and based on it an adaptive fractional order controller is derived. The uncertainty in the state model is estimated online using the adaptive control system. The stability and the convergence proof of the closed loop system is verified using fractional order Lyapunov theorem. Furthermore, the proposed control scheme is compared with the classical proportional integral derivative, integer order sliding mode and fractional order controllers under different scenarios. The effectiveness of the proposed control scheme is verified using numerical simulations.

Inspec keywords: adaptive control; closed loop systems; Lyapunov methods; control nonlinearities; nonlinear control systems; convergence of numerical methods; compensation; electricity supply industry; damping; power transmission control; uncertain systems; robust control; load flow control; power transmission reliability; power system stability

Other keywords: infinite power transmission network; state model estimation; parametric uncertainties; active power flow control; static series synchronous compensator; closed loop system convergence proof; disturbances; power systems; nonlinear state model; adaptive fractional order robust damping control system; closed loop system stability; fractional order Lyapunov theorem; numerical simulations; power transmission system reliability; power industry

Subjects: Power system management, operation and economics; Control of electric power systems; Stability in control theory; Power transmission, distribution and supply; Self-adjusting control systems; Reliability; Power system control; Other numerical methods; Nonlinear control systems; Other numerical methods

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