A Multirate Approach for Time Domain Simulation of Very Large Power Systems

Haut, Bertrand; Savcenco, Valeriu; Panciatici, Patrick

doi:10.1109/hicss.2012.71

Cited by 6 publications

(2 citation statements)

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“…Backward differentiation formula (BDF) methods are a common choice for numerically solving DAEs [35]. The BDF family of methods is designed to be particularly well-suited to solving stiff systems of equations and has been used in a number of previous research applications involving transient stability simulation [50], [51]. BDF methods have also been used in EMT simulation with predictors specifically tuned for sinusoidally varying quantities [52].…”

Section: Thesis Objectivesmentioning

confidence: 99%

Extending the Frequency Bandwidth of Transient Stability Simulation Using Dynamic Phasors

Kulasza

Annakkage

Karawita

2022

IEEE Trans. Power Syst.

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Transient stability is an important measure in assessing a system's overall stability. It characterizes the ability of a power system to maintain stability following major disturbances.Modern power systems whose dynamics are increasingly complex and shaped by fast power electronic devices are testing the assumptions and limitations of existing transient stability simulation methods. This work presents a new method developed to improve transient stability simulation by extending its frequency bandwidth through dynamic phasors. This method constructs a continuous set of differential algebraic equations modeling a power system's dynamics using modified nodal analysis. These equations are numerically solved using a general purpose differential algebraic equations solver based on a variable step and variable order algorithm.This selection allows the method developed in this work to conduct accurate simulations while maintaining the advantages of demodulation in phasor-based analysis. Models are included for linear ac networks as well as two important components for power system simulation.

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Section: Thesis Objectivesmentioning

confidence: 99%

Extending the Frequency Bandwidth of Transient Stability Simulation Using Dynamic Phasors

Kulasza

Annakkage

Karawita

2022

IEEE Trans. Power Syst.

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“…Multirate algorithms address this phenomenon by effectively decoupling variables and updating them at different rates. They have been an active area of research for more than 4 decades and continue to be of interest in many fields [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Multirate and multi-stage holomorphic embedding for dynamic simulation of systems of differential-algebraic equations

Strake,

Reimann,

Lankes

et al. 2023

Eng. Res. Express

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In this paper, we present a novel multirate (MR) extension to themulti-stage holomorphic embedding (MSHE) method and use it to dy-namically solve systems of differential-algebraic equations. As a test ofreal-world applicability, we analyze the algorithm for typical power sys-tem cases. When applied to the IEEE 34 bus and IEEE 9 bus benchmarksystem, the multirate approach significantly reduces the number of recal-culations of most variables as compared to the existing MSHE algorithm,thus offering the chance of decreasing simulation time while providing sim-ple means of error control. This integration of a multirate ansatz into thewell-established MSHE solver potentially opens up systems for dynamicsimulation that were up to now out of numerical reach.

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