Proceedings ArticleDOI
An explicit and unconditionally stable finite difference scheme for the fast transient analysis of a power distribution network
N. Nishizaki,Tadatoshi Sekine,Hideki Asai +2 more
- pp 25-28
TLDR
In this paper, an explicit and unconditionally stable finite difference scheme in which the constraint of time step size is overcome by removing the unstable modes has been proposed to perform the fast transient simulation of power distribution networks with extremely small apertures.Abstract:
Generally, an explicit difference scheme has the numerical stability condition which constrains the time step size, and this condition depends on the lowest reactance component If the time step size that does not fulfill the numerical stability condition is used, unstable modes arise, and we fail the transient analysis In this paper, we propose an explicit and unconditionally stable finite difference scheme in which the constraint of time step size is overcome by removing the unstable modes Numerical results show that the proposed method is quite effective to perform the fast transient simulation of power distribution networks with extremely small aperturesread more
Citations
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Proceedings ArticleDOI
Fast transient simulation of multilayered power delivery network by using the stabilized explicit method
Tadatoshi Sekine,Hideki Asai +1 more
TL;DR: An explicit transient analysis method stabilized for an arbitrary time step size for fast simulation of a multilayered power delivery network (PDN) can remove instability related to the low reactances parts and enables to use a relatively-large time step sizes compared with the explicit leapfrog scheme.
Proceedings ArticleDOI
Locally stabilized explicit method for fast transient analysis of inhomogeneously-meshed plane structures
Tadatoshi Sekine,Hideki Asai +1 more
TL;DR: In this paper, an explicit and locally stabilized transient analysis method for fast simulation of inhomogeneously-meshed conductor planes is proposed. But the proposed method is not suitable for the circuit including small reactances.
Proceedings ArticleDOI
Fast transient simulation of power distribution network based on stabilized explicit method
TL;DR: An explicit method in which modes are categorized into stable and unstable ones, and the latter are removed to make the method be stable is described, enabling us to use a large time step size.
References
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Journal ArticleDOI
Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods
TL;DR: Generalized formulations of fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain (FDTD) methods are presented, and a comparative study of various implicit schemes in their original and new implementations is carried out, which includes comparisons of their computation costs and efficiency gains.
Journal ArticleDOI
Latency insertion method (LIM) for the fast transient simulation of large networks
TL;DR: In this work, a finite difference formulation is used to simulate large networks and several orders of magnitude in speedup over matrix-based methods are obtained.
Journal ArticleDOI
Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods
TL;DR: In this article, generalized formulations of fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain (FDTD) methods are presented in terms of generalized matrix operator equations pertaining to some classical splitting formulae.
Journal ArticleDOI
A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations
Dan Jiao,Jian-Ming Jin +1 more
TL;DR: This paper presents a general approach for the stability analysis of the time-domain finite-element method (TDFEM) for electromagnetic simulations, which determines the stability by analyzing the root-locus map of a characteristic equation and evaluating the spectral radius of the finite element system matrix.
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