An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems
This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any v...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/24/8855 |
| _version_ | 1797545090337472512 |
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| author | Humberto Verdejo Pablo Moreira Wolfgang Kliemann Cristhian Becker José Delpiano |
| author_facet | Humberto Verdejo Pablo Moreira Wolfgang Kliemann Cristhian Becker José Delpiano |
| author_sort | Humberto Verdejo |
| collection | DOAJ |
| description | This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems. |
| first_indexed | 2024-03-10T14:10:33Z |
| format | Article |
| id | doaj.art-3a2ab3b133f34b6cbaa4812c414e918c |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T14:10:33Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-3a2ab3b133f34b6cbaa4812c414e918c2023-11-21T00:14:54ZengMDPI AGApplied Sciences2076-34172020-12-011024885510.3390/app10248855An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power SystemsHumberto Verdejo0Pablo Moreira1Wolfgang Kliemann2Cristhian Becker3José Delpiano4Department of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, ChileDepartment of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, ChileDepartment of Mathematics, Iowa State University, Ames, IA 50011, USADepartment of Electrical Engineering, Universidad de Santiago de Chile, Santiago 9170124, ChileSchool of Engineering and Applied Sciences, Universidad de los Andes, Santiago 7620001, ChileThis paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.https://www.mdpi.com/2076-3417/10/24/8855small signal stabilityunbalanced conditionspower system modeling |
| spellingShingle | Humberto Verdejo Pablo Moreira Wolfgang Kliemann Cristhian Becker José Delpiano An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems Applied Sciences small signal stability unbalanced conditions power system modeling |
| title | An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems |
| title_full | An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems |
| title_fullStr | An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems |
| title_full_unstemmed | An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems |
| title_short | An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems |
| title_sort | analytical model for small signal stability analysis in unbalanced electrical power systems |
| topic | small signal stability unbalanced conditions power system modeling |
| url | https://www.mdpi.com/2076-3417/10/24/8855 |
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