Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra
The calculation of power flow in power systems with the presence of harmonics has been properly studied in the scientific literature. However, power flow calculation considering interharmonic components is still an open question. Traditional methods based on the IEEE1459 standard have proven to be v...
| 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/10835/15085 |
| _version_ | 1789406405348818944 |
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| author | Gil Montoya, Francisco Baños Navarro, Raúl Arrabal Campos, Francisco Manuel Alcayde García, Alfredo |
| author_facet | Gil Montoya, Francisco Baños Navarro, Raúl Arrabal Campos, Francisco Manuel Alcayde García, Alfredo |
| author_sort | Gil Montoya, Francisco |
| collection | DSpace |
| description | The calculation of power flow in power systems with the presence of harmonics has been properly studied in the scientific literature. However, power flow calculation considering interharmonic components is still an open question. Traditional methods based on the IEEE1459 standard have proven to be valid and accurate only for linear and sinusoidal systems, but have been criticized for non-linear and non-sinusoidal systems because they are not able to explain correctly the current and voltage interactions beyond the active power. This paper proposes the use of a novel mathematical framework called geometric algebra (GA) to study the power flow considering the interaction of current and voltage harmonics and interharmonics. The use of GA enables the precise determination of the direction and magnitude of the total and single active power flow for each component, as well as other power elements related to the non-active power due to cross interaction. Moreover, this paper makes a novel contribution to the definition of interharmonics in geometric algebra space that has not been done before. To test the validity of the method, both linear and non- linear circuits are proposed and solved by applying voltages and currents with harmonic and interharmonic components. The results obtained show that power flow can be analyzed under the prism of the principle of energy conservation (PoCoE) in a way that allows a better understanding of the power spectrum due to the interaction of harmonics and interharmonics of voltage and current. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-15085 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2024 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-150852024-01-10T13:33:18Z Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra Gil Montoya, Francisco Baños Navarro, Raúl Arrabal Campos, Francisco Manuel Alcayde García, Alfredo Powerflow Harmonics Interharmonics Non-sinusoidalconditions GeometricAlgebra The calculation of power flow in power systems with the presence of harmonics has been properly studied in the scientific literature. However, power flow calculation considering interharmonic components is still an open question. Traditional methods based on the IEEE1459 standard have proven to be valid and accurate only for linear and sinusoidal systems, but have been criticized for non-linear and non-sinusoidal systems because they are not able to explain correctly the current and voltage interactions beyond the active power. This paper proposes the use of a novel mathematical framework called geometric algebra (GA) to study the power flow considering the interaction of current and voltage harmonics and interharmonics. The use of GA enables the precise determination of the direction and magnitude of the total and single active power flow for each component, as well as other power elements related to the non-active power due to cross interaction. Moreover, this paper makes a novel contribution to the definition of interharmonics in geometric algebra space that has not been done before. To test the validity of the method, both linear and non- linear circuits are proposed and solved by applying voltages and currents with harmonic and interharmonic components. The results obtained show that power flow can be analyzed under the prism of the principle of energy conservation (PoCoE) in a way that allows a better understanding of the power spectrum due to the interaction of harmonics and interharmonics of voltage and current. 2024-01-10T13:33:18Z 2024-01-10T13:33:18Z 2019-12-01 info:eu-repo/semantics/article http://hdl.handle.net/10835/15085 en Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Powerflow Harmonics Interharmonics Non-sinusoidalconditions GeometricAlgebra Gil Montoya, Francisco Baños Navarro, Raúl Arrabal Campos, Francisco Manuel Alcayde García, Alfredo Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title | Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title_full | Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title_fullStr | Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title_full_unstemmed | Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title_short | Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| title_sort | analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra |
| topic | Powerflow Harmonics Interharmonics Non-sinusoidalconditions GeometricAlgebra |
| url | http://hdl.handle.net/10835/15085 |
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