This study presents the analysed result of wind-diesel system with the consideration of real power-frequency control, reactive power-voltage control as well as cross-coupling between reactive power-frequency and real power-voltage control. The system under study uses synchronous generator (SG) for diesel generator and induction generator (IG) for wind generation systems. The mathematical model of the system with both direct and cross-coupling effect is derived to simulate the behaviour of the wind-diesel system. The classical control technique and eigenvalue, participation factor matrix is used to study the strength of the direct and cross-coupling effect, in the studied system. The simulated responses of the system under various types of disturbances are presented to show the cross-coupling effect in the wind-diesel system. System performances under interconnected mode of operation is also studied. Nomenclature V, f system voltage and frequency, respectively δ angle between armature internal voltage and system voltage V av , V fd , E fd amplifier, exciter feedback, exciter voltage, respectively K E , K A , K F exciter, amplifier, stabiliser gain, respectively E q , E q ′ internal armature voltage at steady state and transient, respectively P l , Q l real and reactive load, respectively P ig , P sg real power output of IG and SG, respectively Q ig , Q sg reactive power output of IG and SG, respectively P iw output power of wind turbine P wt wind power r e , x e , s l equivalent resistance, reactance and slip of IG Δ small perturbation in the variable
