Application of Adomian Decomposition for multi-machine power system simulation

Gurunath Gurrala; Aleksandar Dimitrovski; Pannala Sreekanth; Srdjan Simunovic; Michael Starke; Kai Sun

doi:10.1109/PESGM.2015.7286538

Application of Adomian Decomposition for multi-machine power system simulation

Gurunath Gurrala, Aleksandar Dimitrovski, Pannala Sreekanth, Srdjan Simunovic, Michael Starke, Kai Sun

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

In this paper, the merits of Adomian Decomposition Method (ADM) have been investigated for the time domain simulation of multi-machine power systems. ADM is an analytical approximation method for the solution of linear, nonlinear, deterministic and stochastic operator equations. It approximates the nonlinearities in the equations using Adomian polynomial series and that can form a rapidly convergent sequence of analytic functions. We apply the ADM approach for simulation of differential algebraic equations representing the detailed multi-machine power system. The ADM approach has been applied on the widely used IEEE 3 generator 9 bus system and IEEE 10 generator 39 bus system for 3 - φ fault simulations. In our simulations we found that the ADM approach is faster than the standard trapezoidal time integration method for the comparable accuracy.

Original language	English
Title of host publication	2015 IEEE Power and Energy Society General Meeting, PESGM 2015
Publisher	IEEE Computer Society
ISBN (Electronic)	9781467380409
DOIs	https://doi.org/10.1109/PESGM.2015.7286538
State	Published - Sep 30 2015
Event	IEEE Power and Energy Society General Meeting, PESGM 2015 - Denver, United States Duration: Jul 26 2015 → Jul 30 2015

Publication series

Name	IEEE Power and Energy Society General Meeting
Volume	2015-September
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Conference

Conference	IEEE Power and Energy Society General Meeting, PESGM 2015
Country/Territory	United States
City	Denver
Period	07/26/15 → 07/30/15

Keywords

Adomian Decomposition
power system dynamics
transient stability

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10.1109/PESGM.2015.7286538

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Gurrala, G., Dimitrovski, A., Sreekanth, P., Simunovic, S., Starke, M., & Sun, K. (2015). Application of Adomian Decomposition for multi-machine power system simulation. In 2015 IEEE Power and Energy Society General Meeting, PESGM 2015 Article 7286538 (IEEE Power and Energy Society General Meeting; Vol. 2015-September). IEEE Computer Society. https://doi.org/10.1109/PESGM.2015.7286538

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abstract = "In this paper, the merits of Adomian Decomposition Method (ADM) have been investigated for the time domain simulation of multi-machine power systems. ADM is an analytical approximation method for the solution of linear, nonlinear, deterministic and stochastic operator equations. It approximates the nonlinearities in the equations using Adomian polynomial series and that can form a rapidly convergent sequence of analytic functions. We apply the ADM approach for simulation of differential algebraic equations representing the detailed multi-machine power system. The ADM approach has been applied on the widely used IEEE 3 generator 9 bus system and IEEE 10 generator 39 bus system for 3 - φ fault simulations. In our simulations we found that the ADM approach is faster than the standard trapezoidal time integration method for the comparable accuracy.",

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Gurrala, G, Dimitrovski, A, Sreekanth, P, Simunovic, S , Starke, M & Sun, K 2015, Application of Adomian Decomposition for multi-machine power system simulation. in 2015 IEEE Power and Energy Society General Meeting, PESGM 2015., 7286538, IEEE Power and Energy Society General Meeting, vol. 2015-September, IEEE Computer Society, IEEE Power and Energy Society General Meeting, PESGM 2015, Denver, United States, 07/26/15. https://doi.org/10.1109/PESGM.2015.7286538

Application of Adomian Decomposition for multi-machine power system simulation. / Gurrala, Gurunath; Dimitrovski, Aleksandar; Sreekanth, Pannala et al.
2015 IEEE Power and Energy Society General Meeting, PESGM 2015. IEEE Computer Society, 2015. 7286538 (IEEE Power and Energy Society General Meeting; Vol. 2015-September).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Application of Adomian Decomposition for multi-machine power system simulation

AU - Gurrala, Gurunath

AU - Dimitrovski, Aleksandar

AU - Sreekanth, Pannala

AU - Simunovic, Srdjan

AU - Starke, Michael

AU - Sun, Kai

PY - 2015/9/30

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N2 - In this paper, the merits of Adomian Decomposition Method (ADM) have been investigated for the time domain simulation of multi-machine power systems. ADM is an analytical approximation method for the solution of linear, nonlinear, deterministic and stochastic operator equations. It approximates the nonlinearities in the equations using Adomian polynomial series and that can form a rapidly convergent sequence of analytic functions. We apply the ADM approach for simulation of differential algebraic equations representing the detailed multi-machine power system. The ADM approach has been applied on the widely used IEEE 3 generator 9 bus system and IEEE 10 generator 39 bus system for 3 - φ fault simulations. In our simulations we found that the ADM approach is faster than the standard trapezoidal time integration method for the comparable accuracy.

AB - In this paper, the merits of Adomian Decomposition Method (ADM) have been investigated for the time domain simulation of multi-machine power systems. ADM is an analytical approximation method for the solution of linear, nonlinear, deterministic and stochastic operator equations. It approximates the nonlinearities in the equations using Adomian polynomial series and that can form a rapidly convergent sequence of analytic functions. We apply the ADM approach for simulation of differential algebraic equations representing the detailed multi-machine power system. The ADM approach has been applied on the widely used IEEE 3 generator 9 bus system and IEEE 10 generator 39 bus system for 3 - φ fault simulations. In our simulations we found that the ADM approach is faster than the standard trapezoidal time integration method for the comparable accuracy.

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Application of Adomian Decomposition for multi-machine power system simulation

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