Stability analysis of wind turbines combined with rechargeable batteries based on Markov jump linear systems

Abstract

To maximize the output power in low wind speed and to maintain the demanded power of the turbine in high wind speed, switch control strategy is applied to wind turbines combined with rechargeable batteries. A mathematical model of a Markov jump linear system is established for such wind turbine systems. The method for determining the transition probability of the Markov chain is also presented. Then sufficient conditions for almost sure ability are proposed for this combined wind turbine system.