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External Identification of a Reciprocal Lossy Multiport Circuit under Measurement Uncertainties by Riemannian Gradient Descent

Author

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  • Simone Fiori

    (Dipartimento di Ingegneria dell’Informazione, Università Politecnica delle Marche (UPM), Via Brecce Bianche, I-60131 Ancona, Italy)

  • Jing Wang

    (School of Information, Beijing Wuzi University, Fuhe Street, Tongzhou District, Beijing 101149, China)

Abstract

The present paper deals with the external identification of a reciprocal, special passive, 2 n -port network under measurement uncertainties. In the present context, the multiport model is represented by an admittance matrix and the condition that the network is ‘reciprocal special passive’ refers to the assumption that the real part of the admittance matrix is symmetric and positive-definite. The key point is to reformulate the identification problem as a matrix optimization program over the matrix manifold S + ( 2 n ) × S ( 2 n ) . The optimization problem requires a least-squares criterion function designed to cope with over-determinacy due to the incoherent data pairs whose cardinality exceeds the problem’s number of degrees of freedom. The present paper also proposes a numerical solution to such an optimization problem based on the Riemannian-gradient steepest descent method. The numerical results show that the proposed method is effective as long as reasonable measurement error levels and problem sizes are being dealt with.

Suggested Citation

  • Simone Fiori & Jing Wang, 2023. "External Identification of a Reciprocal Lossy Multiport Circuit under Measurement Uncertainties by Riemannian Gradient Descent," Energies, MDPI, vol. 16(6), pages 1-31, March.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:6:p:2585-:d:1092215
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    References listed on IDEAS

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    1. Turgay Duman & Shilpa Marti & M. A. Moonem & Azas Ahmed Rifath Abdul Kader & Hariharan Krishnaswami, 2017. "A Modular Multilevel Converter with Power Mismatch Control for Grid-Connected Photovoltaic Systems," Energies, MDPI, vol. 10(5), pages 1-28, May.
    2. Giuseppina Monti & Mauro Mongiardo & Ben Minnaert & Alessandra Costanzo & Luciano Tarricone, 2020. "Optimal Terminations for a Single-Input Multiple-Output Resonant Inductive WPT Link," Energies, MDPI, vol. 13(19), pages 1-21, October.
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    Cited by:

    1. Simone Fiori & Cheikh Cisse, 2023. "Identification of Lossy Y-Type Two-Port Circuit Models under Measurement Uncertainties: Closed-Form Solution and Statistical–Perturbative Characterization," Energies, MDPI, vol. 16(16), pages 1-19, August.

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