STAG-A New Unified Software Program for the Study of the Dynamic Behaviour of Electrical Power Systems

Stubbe, M.; Bihain, Anderson Luis Jeske; Baader, J. C.; Deuse, J.

doi:10.1109/mper.1989.4310469

Cited by 14 publications

(31 citation statements)

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“…The trapezoidal method is formulated as (6) In the formulas of implicit methods, the next step state cannot be obtained directly, and the Newton method is usually used to solve the nonlinear equations in the implicit methods. However, the implicit methods have better numerical stability properties than explicit methods, despite their slow computational performance.…”

Section: B Implicit Methodsmentioning

confidence: 99%

A Decoupled Time-Domain Simulation Method via Invariant Subspace Partition for Power System Analysis

Yang

Ajjarapu

2006

IEEE Trans. Power Syst.

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Abstract-A decoupled method is proposed to deal with timedomain simulation for power system dynamic analysis. Traditionally, there are two main categories of numerical integration methods: explicit methods and implicit methods. The implicit methods are numerically stable but require more computational time to solve the nonlinear equations, while explicit methods are relatively efficient but may cause a numerical stability problem. This paper proposes a new hybrid method to take advantage of both explicit and implicit methods based on the invariant subspace partition. The original power system equations are decoupled into two parts that correspond to the stiff and nonstiff subspaces. For the stiff invariant subspace, the implicit method is applied to achieve numerical stability, and the explicit method is employed to handle nonstiff invariant subspace for the computational efficiency. As a result, the new hybrid method is both numerically stable and efficient. The approach is demonstrated through New England 39-bus and IEEE 118-bus systems.Index Terms-A-stability, decoupled method, differential and algebraic equations (DAE), dynamical simulation, explicit methods, implicit methods, invariant subspace partition, power systems, stiff systems, time-domain simulation.

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Section: B Implicit Methodsmentioning

confidence: 99%

A Decoupled Time-Domain Simulation Method via Invariant Subspace Partition for Power System Analysis

Yang

Ajjarapu

2006

IEEE Trans. Power Syst.

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“…Automatic step size adjustment based on estimates of the local truncation error is a proven technique [21]. The results reported so far relate to simulations with a constant step size (except for a short interval after the disturbance).…”

Section: E Computational Effortmentioning

confidence: 99%

Accelerated and Localized Newton Schemes for Faster Dynamic Simulation of Large Power Systems

Fabozzi

Chieh²,

Haut

et al. 2013

IEEE Trans. Power Syst.

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Abstract-This paper proposes two methods to speed up the demanding time-domain simulations of large power system models. First, the sparse linear system to solve at each Newton iteration is decomposed according to its bordered block diagonal structure, in order to solve only those parts that need to be solved, and update only sub-matrices of the Jacobian that need to be updated. This brings computational savings without degradation of accuracy. Next, the Jacobian structure is further exploited to localize the system response, i.e. involve only the components identified as active, with an acceptable and controllable decrease in accuracy. The accuracy and computational savings are assessed on a large-scale test system.

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“…A continually variable step approach with step size determined by accuracy and numerical stability has been proposed in Reference [1] for unified simulation of fast and slow dynamics. Such an algorithm is ideal for off-line studies but will not be suitable for real-time unified simulation.…”

Section: Introductionmentioning

confidence: 99%

A high-speed algorithm for unified simulation of large-scale power system dynamics

Al-Anbarri

Ramanujam

Rajesh

et al. 2005

Euro. Trans. Electr. Power

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SUMMARYAn algorithm for unified and economic simulation of short-term and long-term dynamics of a large-scale power system is described in this paper. The algorithm is a combination of (i) a high-speed algorithm with significant improvements and modifications for large time step width requirement, and (ii) a variable time step algorithm which employs artificial damping that damps out faster interunit electromechanical oscillations. Automatic switchover between short-term and long-term modes, user control of step widths and the numerical stability for large step widths make the algorithm ideally suitable for voltage stability analysis involving slow dynamics and real-time simulation for training of system operators.

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STAG-A New Unified Software Program for the Study of the Dynamic Behaviour of Electrical Power Systems

Cited by 14 publications

References 0 publications

A Decoupled Time-Domain Simulation Method via Invariant Subspace Partition for Power System Analysis

A Decoupled Time-Domain Simulation Method via Invariant Subspace Partition for Power System Analysis

Accelerated and Localized Newton Schemes for Faster Dynamic Simulation of Large Power Systems

A high-speed algorithm for unified simulation of large-scale power system dynamics

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