Analysis of non-active power in non-sinusoidal circuits using geometric algebra
A new approach for the definition of non-active power in electrical systems is presented in this paper. Thanks to the use of geometric algebra, it is possible to define a new term called geometric non-active power that is applicable to both sinusoidal and non-sinusoidal systems and to linear and non...
| Main Authors: | , , , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/15060 |
| _version_ | 1789406762812571648 |
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| author | Gil Montoya, Francisco Alcayde García, Alfredo Arrabal Campos, Francisco Manuel Baños Navarro, Raúl Viciana, Eduardo |
| author_facet | Gil Montoya, Francisco Alcayde García, Alfredo Arrabal Campos, Francisco Manuel Baños Navarro, Raúl Viciana, Eduardo |
| author_sort | Gil Montoya, Francisco |
| collection | DSpace |
| description | A new approach for the definition of non-active power in electrical systems is presented in this paper. Thanks to the use of geometric algebra, it is possible to define a new term called geometric non-active power that is applicable to both sinusoidal and non-sinusoidal systems and to linear and non-linear loads. The classic definitions of distortion and reactive power are compared and discussed with our proposal. We verify how the geometric non-active power can appear in both purely resistive and purely reactive systems. The superiority of geometric algebra is revealed through several examples of electrical circuits previously analysed in specialized literature. In addition, a new geometrical current decomposition is proposed for the first time to provide a greater physical sense to existing geometric power. The results obtained show that classic concepts based on apparent power S are based on the lack of physical meaning, which is why geometric algebra theory should be adopted instead. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-15060 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2024 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-150602024-01-10T11:31:49Z Analysis of non-active power in non-sinusoidal circuits using geometric algebra Gil Montoya, Francisco Alcayde García, Alfredo Arrabal Campos, Francisco Manuel Baños Navarro, Raúl Viciana, Eduardo power systems electrical engineering geometric algebra A new approach for the definition of non-active power in electrical systems is presented in this paper. Thanks to the use of geometric algebra, it is possible to define a new term called geometric non-active power that is applicable to both sinusoidal and non-sinusoidal systems and to linear and non-linear loads. The classic definitions of distortion and reactive power are compared and discussed with our proposal. We verify how the geometric non-active power can appear in both purely resistive and purely reactive systems. The superiority of geometric algebra is revealed through several examples of electrical circuits previously analysed in specialized literature. In addition, a new geometrical current decomposition is proposed for the first time to provide a greater physical sense to existing geometric power. The results obtained show that classic concepts based on apparent power S are based on the lack of physical meaning, which is why geometric algebra theory should be adopted instead. 2024-01-10T11:31:48Z 2024-01-10T11:31:48Z 2019-05-01 info:eu-repo/semantics/article http://hdl.handle.net/10835/15060 en Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | power systems electrical engineering geometric algebra Gil Montoya, Francisco Alcayde García, Alfredo Arrabal Campos, Francisco Manuel Baños Navarro, Raúl Viciana, Eduardo Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title | Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title_full | Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title_fullStr | Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title_full_unstemmed | Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title_short | Analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| title_sort | analysis of non-active power in non-sinusoidal circuits using geometric algebra |
| topic | power systems electrical engineering geometric algebra |
| url | http://hdl.handle.net/10835/15060 |
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