Power System Time Domain Simulation Using a Differential Transformation Method

dc.contributor.authorLiu, Yang
dc.contributor.authorSun, Kai
dc.contributor.authorYao, Rui
dc.contributor.authorWang, Bin
dc.creator.orcidhttps://orcid.org/0000-0003-4199-4403en_US
dc.date.accessioned2023-06-26T19:10:42Z
dc.date.available2023-06-26T19:10:42Z
dc.date.issued2019-09
dc.descriptionThis version is the accepted manuscript. See final published version at https://doi.org/10.1109/TPWRS.2019.2901654. © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.en_US
dc.description.abstractThis paper proposes a novel approach for power system dynamic simulation based on the differential transformation (DT). The DT is introduced to study power systems as high-dimensional nonlinear dynamical systems for the first time, and is able to avoid computations of high-order derivatives with nonlinear differential equations by its transform rules. This paper, first, proposes and proves several new transform rules for generic nonlinear functions that often appear in power system models, and then uses these rules to transform representative power system models such as the synchronous machine model with trigonometric functions and the exciter model with exponential and square root functions. This paper also designs a DT-based simulation scheme that allows significantly prolonged time steps to reduce simulation time compared to a traditional numerical approach. The numerical stability, accuracy, and time performance of the proposed new DT-based simulation approach are compared with widely used numerical methods on the IEEE 39-bus system and Polish 2383-bus system.en_US
dc.description.departmentElectrical and Computer Engineeringen_US
dc.description.sponsorshipNational Science Foundationen_US
dc.identifier.citationLiu, Y., Sun, K., Yao, R., & Wang, B. (2019). Power System Time Domain Simulation Using a Differential Transformation Method. IEEE Transactions on Power Systems, 34(5), 3739-3748. doi:10.1109/TPWRS.2019.2901654en_US
dc.identifier.issn1558-0679
dc.identifier.otherhttps://doi.org/10.1109/TPWRS.2019.2901654
dc.identifier.urihttps://hdl.handle.net/20.500.12588/1935
dc.language.isoen_USen_US
dc.publisherInstitute of Electrical and Electronics Engineersen_US
dc.relation.ispartofseriesIEEE Transactions on Power Systems;Volume 34, Issue 5
dc.subjectdifferential transformation methoden_US
dc.subjectpower system simulationen_US
dc.subjecttransient stabilityen_US
dc.subjectnumerical integrationen_US
dc.titlePower System Time Domain Simulation Using a Differential Transformation Methoden_US
dc.typeArticleen_US

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