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Localised solution methods for efficient analysis of large antenna arrays
Thesis (PhD)--Stellenbosch University, 2024.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : Stellenbosch University
2025
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| _version_ | 1867613741657358336 |
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| access_status_str | Open Access |
| author | Conradie, Andre Stephanus |
| author2 | Botha, Matthys M. |
| author_browse | Botha, Matthys M. Conradie, Andre Stephanus |
| author_facet | Botha, Matthys M. Conradie, Andre Stephanus |
| author_sort | Conradie, Andre Stephanus |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (PhD)--Stellenbosch University, 2024. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/131625 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:58.109Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/131625 Localised solution methods for efficient analysis of large antenna arrays Conradie, Andre Stephanus Botha, Matthys M. Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Antennas (Electronics) -- Data processing Electromagnetic waves -- Computer simulation Parallel processing (Electronic computers) Remote sensing -- Data processing Wireless localization UCTD Thesis (PhD)--Stellenbosch University, 2024. ENGLISH ABSTRACT: Antenna arrays are widely used in modern wireless communication and remote sensing systems. The design and calibration of antenna arrays is complicated by mutual coupling effects which can distort the electromagnetic properties of individual elements. These effects are typically accounted for by computing embedded element patterns (EEPs), which are the radiation patterns of individual elements in their radiating environments. The method of moments (MoM) is well suited for these computations, however, solution costs grow quickly with increasing array size. The growing demand for rapid and precise solutions to problems of increasing sizes ensures that fast methods in the MoM remain an active area of research. This dissertation focuses on developing fast iterative localised solution methods for the MoM analysis of large arrays with disjoint elements. Localisation means that the current on each element is solved in turn, with the approximate inclusion of mutual coupling effects. This is done iteratively to converge to the MoM solution. New methods are presented, all exhibiting fast, controllable iterative convergence and comprehensive error control. Owing to their localised nature, these methods are ideally suited to parallelisation. The residual-driven iterative radius-based domain Green’s function method (RD-IRBDGFM) is formulated for arrays with identical, disjoint elements. The convergence rate is controlled through the size of local solution domains. Various methods to reduce the required number of iterations and the cost of each iteration are introduced. Fast iterative convergence is demonstrated for diverse arrays. The preconditioned residual-driven direct coupling technique (PRD-DCT) uses preconditioning to enable fast iterative convergence without the need for overlapping local solutions. Elements are also not required to be identical. A single-level nested cross approximation (NCA) scheme is incorporated to accelerate matrix operations. Faster runtimes than those achievable with the multilevel fast multipole method (MLFMM) in the leading commercial solver, FEKO, are demonstrated for very large arrays. The NCA-PRD-DCT extends the PRD-DCT by improving its runtime performance. This is achieved by introducing a multilevel NCA compression scheme and by leveraging the Woodbury identity to increase the efficiency of local solutions and preconditioner construction. Runtime improvements of more than an order of magnitude over FEKO’s MLFMM are demonstrated. AFRIKAANSE OPSOMMING: Antenna-samestellings word algemeen gebruik in kommunikasie- en afstandwaarnemingstelsels. Die ontwerp en kalibrasie van antenna-samestellings word bemoeilik deur wedersydse koppelingseffekte wat die elektromagnetiese eienskappe van individuele elemente kan be¨ınvloed. Elektromagnetiese simulasie van die samestelling in geheel word benodig om daarmee rekening te hou. Die momentmetode (MoM) is besonder geskik vir hierdie doel, maar word berekeningsgewys duur vir groot samestellings. Die toenemende aanvraag na vinnige en akkurate oplossings vir meer omvangryke probleemopstellings verseker dat doeltreffende oplossingsmetodes vir die MoM ’n aktiewe navorsingsgebied bly. Hierdie verhandeling fokus op die ontwikkeling van vinnige iteratiewe gelokaliseerde oplossingsmetodes vir die MoM-analise van groot samestellings met vrystaande elemente. Lokalisering beteken dat die stroom op elke element om die beurt opgelos word, met die benaderde insluiting van wedersydse koppeling. Dit word iteratief gedoen om na die ware MoM-oplossing te konvergeer. Alle nuwe metodes wat gedurende hierdie studie ontwikkel is, toon vinnige, beheerbare konvergensiegedrag en omvattende foutbeheer. Danksy hul lokale aard, is al hierdie metodes van nature geskik vir parallelisering. Die residu-gedrewe iteratiewe radius-gebaseerde domein Green-funksie metode (RDIRB-DGFM) word geformuleer vir samestellings met identiese, vrystaande elemente. Die konvergensietempo word beheer deur die grootte van lokale oplossingsgebiede. Verskeie tegnieke om die nodige aantal iterasies en die gepaardgaande kostes te verminder, word ingesluit. Vinnige iteratiewe konvergensie word vir diverse samestellings gedemonstreer. Die voorafgekondisioneerde residu-gedrewe direkte koppelingsmetode (PRD-DCT) gebruik voorafkondisionering om vinnige iteratiewe konvergensie sonder die behoefte aan oorvleuelende plaaslike oplossings, te bewerkstellig. Dit is nie ’n vereiste dat elemente identies moet wees nie. ’n Enkelvlak aanpassingsvaardige kruisbenadering (NCA) matrikskompressieskema word gebruik om matriksbewerkings te versnel. Vinniger verwerkingstye as wat met die multivlak vinnige multipoolmetode (MLFMM) in die toonaangewende kommersi¨ele oplosser, FEKO, behaal kan word, word vir groot samestellings gedemonstreer. Die NCA-PRD-DCT verbeter op die PRD-DCT in terme van verwerkingstydresultate. Dit word bewerkstellig deur die insluiting van ’n multivlak NCA matriks-kompressieskema en deur die Woodbury-identiteit in te span om die effektiwiteit van lokale oplossings en voorafkondisionering te verhoog. Verwerkingstydverbeteringe van meer as ’n orde-grootte bo FEKO se MLFMM word gedemonstreer. Doctoral 2025-01-30T06:33:35Z 2025-01-30T06:33:35Z 2024-12 Thesis https://scholar.sun.ac.za/handle/10019.1/131625 en Stellenbosch University vii, 98 pages : illustrations application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Antennas (Electronics) -- Data processing Electromagnetic waves -- Computer simulation Parallel processing (Electronic computers) Remote sensing -- Data processing Wireless localization UCTD Conradie, Andre Stephanus Localised solution methods for efficient analysis of large antenna arrays |
| title | Localised solution methods for efficient analysis of large antenna arrays |
| title_full | Localised solution methods for efficient analysis of large antenna arrays |
| title_fullStr | Localised solution methods for efficient analysis of large antenna arrays |
| title_full_unstemmed | Localised solution methods for efficient analysis of large antenna arrays |
| title_short | Localised solution methods for efficient analysis of large antenna arrays |
| title_sort | localised solution methods for efficient analysis of large antenna arrays |
| topic | Antennas (Electronics) -- Data processing Electromagnetic waves -- Computer simulation Parallel processing (Electronic computers) Remote sensing -- Data processing Wireless localization UCTD |
| url | https://scholar.sun.ac.za/handle/10019.1/131625 |
| work_keys_str_mv | AT conradieandrestephanus localisedsolutionmethodsforefficientanalysisoflargeantennaarrays |