Exploring the Impact of Wind Penetration on Power System Equilibrium Using a Numerical Continuation Approach

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In this paper we investigate how the equilibrium characteristics of conventional power systems may change with an increase in wind penetration.

• We first derive a differential-algebraic model of a power system network consisting of synchronous generators, loads and a wind power plant modeled by a wind turbine and a doubly-fed induction generator (DFIG).
• The models of these three components are coupled via nonlinear power flow equations.
• In contrast to the traditional approach for solving the power flows via iterative methods that often lead to only local solutions, we apply a recently developed parameter-homotopy based numerical continuation algorithm to compute all possible solutions.