State space formulation and transient stability of the double output asynchronous generator

The double output asynchronous generator state space formulation by using the small displacement procedure valid for both grid connected and for autonomous systems is deduced. The study of the dynamics shows that the transient stability is influenced by disturbances of speed of load and of excitation frequency for any RMS value and power factor of the excitation voltage. Because of its linearity, the small displacement model in state space form can be used for control design purposes. From the matrices in generalized form, the transfer functions needed for the design of frequency and current controllers are easily computed