Multiple time-scale power system dynamic simulation

Kurita, Akira; Ōkubo, H.; Oki, K.; Agematsu, S.; Klapper, Daniel; Miller, N.W.; Price, W.W.; Sanchez-Gasca, J.J.; Wirgau, K.A.; Younkins, T. D.

doi:10.1109/59.221237

Cited by 73 publications

(24 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Suppose the power system is operating with equilibrium state x 0 and parameter λ 0 . In order to measure the proximity to voltage collapse, the effect of increasing the loading parameters in λ in some given pattern 1 is computed by a continuation method [12][13][14][15] or a quasistatic simulation method [8,16] until a fold bifurcation is encountered at (x * , λ * ). (Recall that continuation solves for a succession of equilibria as the loading is increased and takes account of power system limits as they occur.)…”

Section: Fold Bifurcation and Geometrymentioning

confidence: 99%

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Dobson

2011

NOLTA

View full text Add to dashboard Cite

Abstract:The loading margin to a saddle-node or fold bifurcation measures the proximity to voltage collapse blackouts of electric power transmission systems. Sensitivities of the loading margin can be used to select controls to avoid voltage collapse. We analytically justify the use of static models to compute loading margins and their sensitivities and explain how the results apply to underlying dynamic models. The relation between fold bifurcations of the static models and saddle-node bifurcations of the underlying dynamic models is clarified.

show abstract

Section: Fold Bifurcation and Geometrymentioning

confidence: 99%

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Dobson

2011

NOLTA

View full text Add to dashboard Cite

show abstract

“…As explicit schemes are applied to the non-stiff components and algebraic variables in the differential equations, the size of nonlinear system from the SI-KDC scheme is smaller than that from FI-KDC method, and therefore the SI-KDC preconditioning technique is more efficient than FI-KDC for this specific application. There exist many numerical simulation tools and methods for power systems [2,40,60], including the techniques based on splitting the DAE systems to differential and algebraic parts and solving them separately using ODE solvers for the differential parts and a Newton-type method (e.g. Newton-Raphson) for algebraic components.…”

Section: Preliminary Numerical Resultsmentioning

confidence: 99%

Semi-implicit Krylov deferred correction methods for differential algebraic equations

Huang

Minion

2012

Math. Comp.

View full text Add to dashboard Cite

Abstract. In the recently developed Krylov deferred correction (KDC) methods for differential algebraic equation initial value problems (Huang, Jia, Minion, 2007), a Picard-type collocation formulation is preconditioned using low-order time integration schemes based on spectral deferred correction (SDC), and the resulting system is solved efficiently using Newton-Krylov methods. KDC methods have the advantage that methods with arbitrarily high order of accuracy can be easily constructed which have similar computational complexity as lower order methods. In this paper, we investigate semi-implicit KDC (SI-KDC) methods in which the stiff component of the preconditioner is treated implicitly and the non-stiff parts explicitly. For certain types of problems, such a semi-implicit treatment can significantly reduce the computational cost of the preconditioner compared to fully implicit KDC (FI-KDC) methods. Preliminary analysis and numerical experiments show that the convergence of Newton-Krylov iterations in the SI-KDC methods is similar to that in FI-KDC, and hence the SI-KDC methods offer a reduction in overall computational cost for such problems.

show abstract

“…For purpose of understanding voltage instability mechanisms, as well as devising faster analysis methods, it is, however, advantageous to reduce the full system model for exploiting the time separation, which exists between the short-and long-term phenomena [2]. A basic idea of this concept consists in assuming that fast subsystem is infinite fast and can be replaced by its equilibrium equations when dealing with the slow subsystem.…”

Section: Dynamic Analysis Based On Time-domain Simulationmentioning

confidence: 99%

Static and dynamic approaches for analyzing voltage stability

Ma¹,

Retzmann²

2006

Int Trans Elec Energy Syst

View full text Add to dashboard Cite

SUMMARYVoltage stability analysis always involves a large number of devices with various dynamic characteristics in power system. For properly capturing static and dynamic behaviors providing insights into characteristics of the voltage stability of the system, different system models are established for different time-scale studies. In this paper, relevant system models are discussed taking into account load characteristics. Based on these models, different approaches such as static analysis, time-domain simulation and quasi-steady state (QSS) approximation are implemented into a simulation program, which is used as a comprehensive tool for analyzing voltage stability. By complementary use of these approaches with the simulation program, voltage collapse stresses of the system under a critical operating condition can be analysed in steady state, and impacts of special events on the voltage stability can also be simulated with time-domain simulations. For time-domain simulations, a full system model and a QSS approximation can be adopted for capturing different forms of instability mechanisms. A test system is used to demonstrate the feasibility and effectiveness of the approaches implemented.

show abstract

Multiple time-scale power system dynamic simulation

Cited by 73 publications

References 7 publications

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

The irrelevance of electric power system dynamics for the loading margin to voltage collapse and its sensitivities

Semi-implicit Krylov deferred correction methods for differential algebraic equations

Static and dynamic approaches for analyzing voltage stability

Contact Info

Product

Resources

About