In this paper, we propose a sliding mode -based controller for a wind power system where an induction generator is connected to an infinity bus. To ensure robustness of the closed -loop system with respect to perturbations and plant parameter variations, first, we applied the conventional sliding mode (SM) control technique. Secondly, an integral sliding SM control is designed to reduce a chattering effect. Both the control schemes are proposed to control the electromagnetic torque and the stator reactive power of a wound rotor induction generator coupled with a wind turbine across a gear box. The performance of the designed controllers is validated through simulations.Index Terms-sliding mode control, power system, wound rotor induction generator.
I. NOMENCLATUREL s = stator self inductance per phase L r = rotor self inductance per phase L m = magnetization inductance L sm = mutual inductance between two phases of stator L rm = mutual inductance between two phases of rotor L sr = mutual inductance between stator and rotor phase L ls , L lr = leakage stator and leakage rotor inductances R s , R r = stator and rotor resistance per phase i ds , i qs , i dr , i qr = stator and rotor currents in the axes d and q v ds , v qs , v dr , v qr = stator and rotor voltages in the axes d and q T e = electromagnetic torque T m = turbine torque T eref = reference electromagnetic torque Q s = stator reactive power Q sref = reference stator reactive power P m = mechanic power established by turbine fp s = stator power factor ω m = generator shaft velocity ω s , ω r = supply and rotor frequency θ r = rotor position P = number of poles pair J' tb = total inertia referred to generator side .A sincere gratefulness to CINVESTAV (Advanced Investigation Center of National Polytechnic Institute), and UACJ (Juarez City Autonomous University). This work was supported by PROMEPTeaching Staff Improvement Program) under grants 103.5/06/1974. [omorfin][louk][canedoj]@gdl/cinvestav.mx Cinvestav, Guadalajara. Av. Científica No. 1145, Col. El Bajío; Zapopan, Jalisco. México. CP 45010. Tel +52(33) 3777 3600, Fax +5(33) 3777 3609.v = wind velocity ρ = air density R, A = radius and sweep area of the wind turbine C p = power coefficient N gb = velocity relation in gear box λ = tip speed and wind velocity relation II. INTRODUCTION NE of operation modes of the wind power generating systems is featured by the variable-speed and constantfrequency where maximum-power-capturing of the wind must be reached [1]. In this application, the wound rotor induction (WRI) generator is typically used. This generator runs around synchronous speed drawing the magnetizing current from the electric network; therefore, this machine needs two sources: an unidirectional source for magnetizing the stator, and another, a bidirectional source that supplies current into the wound rotor to control the generator. The typical configuration of the rotor supply consists of two voltage-fed current-regulated inverters connected back to back through a direct current link and a capacito...