Ad‐hoc analytical solution based on local linearisations for doubly‐fed induction generator wind turbine electromechanical simulations.

This study presents a new methodology to solve the wind turbine modelling based on doubly‐fed induction generator (DFIG) technology. The proposed solution allows us to simulate simultaneously a significant number of individuals DFIG submitted to different wind‐speed profiles, minimising the computational time costs and avoiding excessive simplifications in comparison with previous solutions. For this proposal, a third‐order induction generator model has been considered by the authors. The rotor current‐control loops have been modelled through standard PI regulators, discussing in detail rotor voltage expressions and values of the parameters. The global non‐linear equation system has been rearranged in state‐space forms, by means of local linearisations and using two different software‐packages that enable symbolic computation in a collaborative manner. The analytical results have been compared facing a traditional discretised solving methodology to assess the suitability of the proposed solution under different wind‐speed conditions. Indeed, simulated and real‐measured wind profiles have been considered for this purpose. Finally, a comparison of computational time costs for different time steps, including the effect of the number of wind turbines, is also included in this study. [ABSTRACT FROM AUTHOR]