Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays

Muhammad A. Khattak; Daniele Romano; Giulio Antonini; Francesco Ferranti

doi:10.1109/LMWT.2024.3439595

Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays

Muhammad A. Khattak, Daniele Romano, Giulio Antonini, Francesco Ferranti

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Abstract

This letter proposes a novel model order reduction (MOR) approach leveraging frequency-domain proper orthogonal decomposition (POD) for partial element equivalent circuit (PEEC) models characterized by neutral delayed differential equations (NDDEs). Our technique incorporates frequency-domain derivatives snapshots alongside frequency-domain response snapshots, thereby enhancing the accuracy of the reduced-order model while minimizing the computational overhead compared with solely utilizing frequency-domain response snapshots. A numerical example is provided to demonstrate the effectiveness and efficiency of the proposed method in both the frequency domain and the time domain.

Original language	English
Pages (from-to)	1-4
Number of pages <span style="color:red"p> <font size="1.5"> ✽ </span> </font>	4
Journal	IEEE Microwave and Wireless Technology Letters
Volume	34
Issue number	10
DOIs	https://doi.org/10.1109/LMWT.2024.3439595
Publication status	Published - 2024

Bibliographical note

Funding Information:
Manuscript received 17 June 2024; revised 24 July 2024; accepted 4 August 2024. Date of publication 27 August 2024; date of current version 9 October 2024. The work of Francesco Ferranti was supported in part by the Methusalem and Hercules Foundations and in part by the Research Council (OZR) of Vrije Universiteit Brussel (VUB). (Corresponding author: Muhammad A. Khattak.) Muhammad A. Khattak is with the UAq EMC Laboratory, Dipartimento di Ingegneria Industriale e dell\u2019Informazione e di Economia, Universit\u00E0 degli Studi dell\u2019Aquila, 67100 L\u2019Aquila, Italy, and also with the Department of Applied Physics and Photonics, Brussels Photonics, Vrije Universiteit Brussel, 1050 Brussels, Belgium (e-mail: muhammadaltaf.khattak@graduate. univaq.it).

Publisher Copyright:
© 2024 IEEE.

Keywords

requency-domain analysisEquivalent circuitsMathematical modelsReduced order systemsComputational modelingIntegrated circuit modelingDelaysDelay systemsdimensionality reductionelectromagnetic (EM) analysisfrequency responsenumericaltransfer functions

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10.1109/LMWT.2024.3439595Licence: CC BY-NC-ND

114393222_fvFinal published version, 1.44 MBLicence: CC BY-NC-ND

Cite this

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title = "Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays",

abstract = "This letter proposes a novel model order reduction (MOR) approach leveraging frequency-domain proper orthogonal decomposition (POD) for partial element equivalent circuit (PEEC) models characterized by neutral delayed differential equations (NDDEs). Our technique incorporates frequency-domain derivatives snapshots alongside frequency-domain response snapshots, thereby enhancing the accuracy of the reduced-order model while minimizing the computational overhead compared with solely utilizing frequency-domain response snapshots. A numerical example is provided to demonstrate the effectiveness and efficiency of the proposed method in both the frequency domain and the time domain. ",

keywords = "requency-domain analysisEquivalent circuitsMathematical modelsReduced order systemsComputational modelingIntegrated circuit modelingDelaysDelay systemsdimensionality reductionelectromagnetic (EM) analysisfrequency responsenumericaltransfer functions",

author = "Khattak, {Muhammad A.} and Daniele Romano and Giulio Antonini and Francesco Ferranti",

note = "Funding Information: Manuscript received 17 June 2024; revised 24 July 2024; accepted 4 August 2024. Date of publication 27 August 2024; date of current version 9 October 2024. The work of Francesco Ferranti was supported in part by the Methusalem and Hercules Foundations and in part by the Research Council (OZR) of Vrije Universiteit Brussel (VUB). (Corresponding author: Muhammad A. Khattak.) Muhammad A. Khattak is with the UAq EMC Laboratory, Dipartimento di Ingegneria Industriale e dell\u2019Informazione e di Economia, Universit\u00E0 degli Studi dell\u2019Aquila, 67100 L\u2019Aquila, Italy, and also with the Department of Applied Physics and Photonics, Brussels Photonics, Vrije Universiteit Brussel, 1050 Brussels, Belgium (e-mail: muhammadaltaf.khattak@graduate. univaq.it). Publisher Copyright: {\textcopyright} 2024 IEEE.",

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N1 - Funding Information: Manuscript received 17 June 2024; revised 24 July 2024; accepted 4 August 2024. Date of publication 27 August 2024; date of current version 9 October 2024. The work of Francesco Ferranti was supported in part by the Methusalem and Hercules Foundations and in part by the Research Council (OZR) of Vrije Universiteit Brussel (VUB). (Corresponding author: Muhammad A. Khattak.) Muhammad A. Khattak is with the UAq EMC Laboratory, Dipartimento di Ingegneria Industriale e dell\u2019Informazione e di Economia, Universit\u00E0 degli Studi dell\u2019Aquila, 67100 L\u2019Aquila, Italy, and also with the Department of Applied Physics and Photonics, Brussels Photonics, Vrije Universiteit Brussel, 1050 Brussels, Belgium (e-mail: muhammadaltaf.khattak@graduate. univaq.it). Publisher Copyright: © 2024 IEEE.

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AB - This letter proposes a novel model order reduction (MOR) approach leveraging frequency-domain proper orthogonal decomposition (POD) for partial element equivalent circuit (PEEC) models characterized by neutral delayed differential equations (NDDEs). Our technique incorporates frequency-domain derivatives snapshots alongside frequency-domain response snapshots, thereby enhancing the accuracy of the reduced-order model while minimizing the computational overhead compared with solely utilizing frequency-domain response snapshots. A numerical example is provided to demonstrate the effectiveness and efficiency of the proposed method in both the frequency domain and the time domain.

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Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays

Abstract

Bibliographical note

Keywords

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OZRMETH8: “PHUTURE 2030”: B-PHOT’s roadmap for cutting-edge photonics research and disruptive technology

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Cite this

Derivatives-Enhanced Proper Orthogonal Decomposition for PEEC Models With Delays

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Projects

OZRMETH8: “PHUTURE 2030”: B-PHOT’s roadmap for cutting-edge photonics research and disruptive technology

HERC47: Pilot line for advanced freeform glass optics: prototyping, replication and metrology

Cite this