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A Comparison Between QCQP-relaxation Methods to Determine a Lower Bound on a Small Antenna Q-factor
KTH, School of Electrical Engineering and Computer Science (EECS), Electromagnetic Engineering.ORCID iD: 0000-0001-7269-5241
2019 (English)In: 13th European Conference on Antennas and Propagation, EuCAP 2019, Institute of Electrical and Electronics Engineers (IEEE), 2019, article id 8739996Conference paper, Published paper (Refereed)
Abstract [en]

Quadratically constrained quadratic programming (QCQP) can be used to determine the best Q-factor for small antennas with constraints on the antenna efficiency. Constraints on the total directivity and a given front-to-back ratio can also be expressed as QCQP. Such problems are non-convex and hence challenging to solve. Their solution gives the best Q-factor available for any antenna within the considered volume. Thus, solutions to this type of problems provide a tool, which before the design can predict the best possible antenna performance within a given volume of a device. It is hence important to investigate methods to solve this class of QCQP problems. In this paper we compare and investigate two relaxation methods, the Lagrangian dual and semidefinite relaxation, to estimate lower bounds on the Q-factor. The former method is here reduced to solving a generalized eigenvalue-problem. Properties of the different relaxation methods are illustrated and compared. We focus in this paper on the Q-factor and its relation to efficiency, as expressed by the dissipation factor. However, these tools also apply to a larger class of problems including constraints on the directivity and other far-field conditions.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2019. article id 8739996
Series
Proceedings of the European Conference on Antennas and Propagation, ISSN 2164-3342
Keywords [en]
antenna, Q-factor, antenna efficiency, quadratically constrained quadratic programming, semidefinite relaxation, constrained optimization
National Category
Other Engineering and Technologies
Identifiers
URN: urn:nbn:se:kth:diva-257476ISI: 000480384702093Scopus ID: 2-s2.0-85068437217ISBN: 978-8-8907-0188-7 (print)OAI: oai:DiVA.org:kth-257476DiVA, id: diva2:1348762
Conference
13th European Conference on Antennas and Propagation (EuCAP), MAR 31-APR 05, 2019, Krakow, POLAND
Note

QC 20190905

Available from: 2019-09-05 Created: 2019-09-05 Last updated: 2019-09-05Bibliographically approved

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Jonsson, B. Lars G.

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