Mixed Materials
The Ohm’s Law for (non-symmetric) three-phase three-wire electrical circuits: from a complex-valued to a geometric algebra approach
| Τίτλος: | The Ohm’s Law for (non-symmetric) three-phase three-wire electrical circuits: from a complex-valued to a geometric algebra approach |
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| Συγγραφείς: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Elèctrica, Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial, Universitat Politècnica de Catalunya. ACaPE - Advanced Control and Power Electronics Systems, Universitat Politècnica de Catalunya. SEPIC - Sistemes Electrònics de Potència i de Control, Universitat Politècnica de Catalunya. SIR-OPE - Service and Industrial Robotics - Operation, Production and Enterprise, Dòria Cerezo, Arnau, Velasco García, Manel, Zaplana Agut, Isiah, Martí Colom, Pau |
| Στοιχεία εκδότη: | Elsevier 2026-03 |
| Τύπος εγγράφου: | Mixed materials |
| Περίληψη: | This paper introduces the modelling of three-phase electrical systems using the Geometric Algebra approach and is compared with the complex-valued framework in the case of non-symmetrical conditions. The main benefit of the geometric algebra framework is the possibility of representing the dynamics of unbalanced scenarios by a single-input, single-output relationship. The paper presents step-by-step, building the geometric impedance and revisiting Ohm’s law, and compares the complex-valued modelling widely used in balanced three-phase circuits. This work was partially supported by the Government of Spain through the Agencia Estatal de Investigación Project PID2021- 122821NB-I00 and by the Generalitat de Catalunya, Spain through the Projects 2021-SGR-00098, 2021-SGR-00375 and 2021-SGR00376. Peer Reviewed Postprint (author's final draft) |
| Όροι ευρετηρίου: | Àrees temàtiques de la UPC::Enginyeria elèctrica, Three-phase electrical circuits, Ohm’s law, Hypercomplex algebra, Article |
| Σύνδεσμος: | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-122821NB-I00/ES/CONTROL AVANZADO DE CONVERTIDORES DE FUENTE DE CORRIENTE (CSI) MONOFASICOS Y TRIFASICOS |
| Διαθεσιμότητα: | Open access content. Open access content Restricted access - publisher's policy |
| Σημείωση: | 16 p. application/pdf English |
| Other Numbers: | HGF oai:upcommons.upc.edu:2117/447641 Doria-Cerezo, A. [et al.]. The Ohm's Law for (non-symmetric) three-phase three-wire electrical circuits: from a complex-valued to a geometric algebra approach. «Mathematics and computers in simulation», Març 2026, vol. 241, Part B, p. 473-488. 0378-4754 10.1016/j.matcom.2025.10.010 1569017624 |
| Πηγή συνεισφοράς: | UNIV POLITECNICA DE CATALUNYA From OAIster®, provided by the OCLC Cooperative. |
| Αριθμός Καταχώρησης: | edsoai.on1569017624 |
| Βάση Δεδομένων: | OAIster |
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