Dynamic simulation based on Jacobian-free Newton-GMRES methods with adaptive preconditioner for power systems

Abstract

Dynamic simulation is one of the most complex and important computations for power systems researches. Traditional solutions based on normal Newton iterations almost all depend on evaluations of Jacobian matrixes, which increases the programming complexity of and limits the parallelizability of the whole simulation. In this paper, a new adaptive preconditioned Jacobian-free Newton-GMRES(m) method is proposed to be applied to dynamic simulations of power systems. This new method has totally Jacobian-free characteristics, which saves calculations and storages of Jacobian matrixes and features strong parallelizability. Moreover, several speedup strategies are introduced to enhance efficiency and parallelizability of overall computations. Numerical tests are carried out on IEEE standard test systems and results show that in series computing environment, simulations based on the proposed method have comparable speed to those based on classical Newton-Raphson methods.