Open AccessAn analytical approach to non‐linear dynamical model of a permanent magnet synchronous generator
Author(s) -
Herisanu N.,
Marinca V.,
Madescu Gh.
Publication year - 2015
Publication title -
wind energy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.743
H-Index - 92
eISSN - 1099-1824
pISSN - 1095-4244
DOI - 10.1002/we.1785
Subject(s) - permanent magnet synchronous generator , control theory (sociology) , computation , convergence (economics) , turbine , generator (circuit theory) , computer science , inertia , electric power system , wind power , power (physics) , magnet , control engineering , mathematics , engineering , mechanical engineering , algorithm , physics , electrical engineering , classical mechanics , control (management) , quantum mechanics , artificial intelligence , economics , economic growth
This paper proposes an analytical approach to investigate the transitory dynamic regime of a low‐power permanent magnet synchronous generator that works in an actual wind power station. The governing non‐linear differential equations are solved by means of the optimal homotopy asymptotic method, and explicit analytical solutions are obtained. Four cases are analysed for different moments of inertia and electrical resistances specific to sudden short circuit produced at the generator terminals and sudden change of load. The proposed procedure is highly efficient and controls the convergence of the approximate solutions, ensuring a very fast convergence. Such analytical approach allows modeling and simulating turbine generator systems for real‐time computations, offline applications or stability problems. Numerical investigations are also performed in order to validate the analytical results. Copyright © 2014 John Wiley & Sons, Ltd.