2014/09/27 by Souvik Chandra, Chandra, Souvik, Dhagash Mehta +3
Engineering · Mathematics · #FOS: Electrical engineering #Numerical methods for differential equations #Optimal Power Flow Distribution #Power System Optimization and Stability #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1409.7844
openalex publication_date 2014/09/27 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
In this paper we investigate how the equilibrium characteristics of\nconventional power systems may change with an increase in wind penetration. We\nfirst derive a differential-algebraic model of a power system network\nconsisting of synchronous generators, loads and a wind power plant modeled by a\nwind turbine and a doubly-fed induction generator (DFIG). The models of these\nthree components are coupled via nonlinear power flow equations. In contrast to\nthe traditional approach for solving the power flows via iterative methods that\noften lead to only local solutions, we apply a recently developed\nparameter-homotopy based numerical continuation algorithm to compute all\npossible solutions. The method solves the power flow equations over multiple\nvalues of the wind penetration level with far less computational effort instead\nof solving them at each value individually. We observe that depending on the\npenetration limit and the setpoint value for the magnitude of the wind bus\nvoltage, the system may exhibit several undesired or even unstable equilibria.\nWe illustrate these results through a detailed simulation of a 5-machine power\nsystem model with wind injection, and highlight how the solutions may be\nhelpful for small-signal stability assessment.\n