Power analysis in wind generation with doubly fed induction generator with polynomial optimization tools

In this work, new analysis and prediction strategies for the power control in wind generators that use a doubly fed induction generator are addressed. The wind generator model and control strategies most widely used are first presented, including strategies used to punctually increase the power generation in order to respond to power demands derived from power system frequency deviations. A new on-line prediction strategy is addressed based on a wind observer plus the use of the different norms that the dynamic model presents from the inputs (the wind or the power demand) to the outputs (rotor speed, accelerations, and power generation). For that purpose, the wind observer and the computational derivation of the different input-output performances are developed via optimization over polynomials techniques. The developed analysis and predicting strategies are applied to a wind generator model and controller proposed in the literature, showing the effectiveness of the presented approach.