No abstract

No abstract

Line outage simulation is a necessary part of contingency analysis. The Newton-based full AC load flow method is commonly used for this purpose despite its time consuming computational process. A compensation scheme and a partial refactorisation method is proposed for the efficient solution of the first iteration of the post-contingency full AC load flow. Two Newton-like load-flow methods, the Fixed Newton method and the modification of the right-handside vector method, are also described to continue the calculation until convergence is obtained. These methods eliminate the need for complete refactorisation of the jacobian matrix. The two methods are compared with the Newton-based full AC load flow method and the fast decoupled load flow in three test systems to demonstrate their convergence characteristics

No abstract

No abstract

The existence of Aubry-Mather sets and infinitely many subharmonic solutions to the following p-Laplacian like nonlinear equation (p − 1) −1 (φ p (x)) + [αφ p (x +) − βφ p (x −)] + g(x) = h(t) is discussed, where φ p (u) = |u| p−2 u, p > 1, α, β are positive constants satisfying α − 1 p + β − 1 p = 2 n with n ∈ N, h is piece-wise two times differentiable and 2π p-periodic, g ∈ C 1 (R) is bounded, x ± = max{±x, 0}, π p = 2π p sin(π/p) .

No abstract

a b s t r a c tIn this paper, we give a generalization of the well-known Lyapunov-type inequality for a class of odd-order differential equations, the result of this paper is new and generalizes some early results on this topic.