Dynamic maximum available power of fixed-speed wind turbine at islanding operation

Increasing of wind power penetration at power systems requires the development of adequate wind turbine models and consequently useful indexes. Among different models, dynamic model has an important role as a fundamental part of wind farms for representing the dynamic behavior of wind farms at different operating conditions. In this paper, a suitable dynamic model is introduced for wind farms with fixed speed wind turbines. This model is proposed by aggregating the individual wind turbines into an equivalent wind turbine model that operates on an equivalent wind farm electric network. Thus, the system under study is modeled by a set of dynamic and algebraic equations. Based on proposed dynamic model a useful novel index is introduced for calculation of the injection power ability of the wind farm that is an urgent issue in the planning and operating of wind farms. This index is named Dynamic Maximum Available Power (DMAP). In addition, sensitivity analysis of DMAP with respect to effective parameters is carried out and the results are shown.

► The system under study is modeled by a set of nonlinear dynamic and algebraic equations.
► Useful novel index (DMAP) introduced for calculation of the injection power ability of the wind farm.
► If line length increases, DMAP decreases and upper limit for DMAP can be calculated.
► Participation factors for line length and the effect of state variables on eigenvalues investigated.