An autonomous frequency and voltage controller for standalone doubly fed induction generator

Fuzzy‐PI‐based sensorless frequency and voltage controller for doubly fed induction generator connected to a DC microgrid

“…In the derivation of the system modelling, the DFIG is assumed to be unsaturated, and with no core loss. The mathematical model of the DFIG is explained using an arbitrary reference frame rotating at angular speed ( ω e ) [40]. As shown in Fig.…”

“…As shown in Fig. 1 b [40], the stator ( ψ s ) and the rotor ( ψ r ) fluxes are given by the following equation: where L s = L σ s + L m and L r = L σ r + L m are total self‐inductance of stator and rotor windings, respectively. L σ s , L σ r , and L m are stator and rotor leakage inductances, and mutual inductance, respectively.…”

“…1 b , the stator ( V s ) and rotor ( V r ) voltages in the arbitrary reference frame can be expressed as where, R s and R r are the stator and the rotor resistance, respectively. ω e and ω r are the synchronous angular speed and the rotor angular speed, respectively [40].…”

“…The detection of the slip position ( θ slip ) and the synchronous angular position ( θ e ) are carried out by using the structure shown in Fig. 2 b [40]. The θ e in the presented method is obtained from where i s α and i s β are the stator current components in the α–β frame, respectively.…”

“…However, the ω e contains noise due to the nature of the differentiator. One way to alleviate this issue is to use low‐pass filter which is shown in Fig 2 b [40]. By using this filter, the noise generated by the differentiator has been reduced significantly.…”