RLC Circuit modelling of Magnetron Anode

Authors

DOI:

https://doi.org/10.17979/ja-cea.2026.47.13733

Keywords:

Frequency domain identification, Model reduction of distributed parameter systems, Application of power electronics

Abstract

This article presents methods for obtaining equivalent circuits of magnetron anodes through analysis of RLC resonators, and subsequently creating plants suitable for control system design. Two complementary approaches are described: extraction of
equivalent circuit parameters from the admitance, which are obtained from scattering parameter measurements, and eigenmode analysis, which allows direct extraction of resonator characteristics from simulated electromagnetic fields. The validity of these
methods is demonstrated through application to a simple cylindrical resonant cavity. Subsequently, these methods are applied to the analysis of a 10-cavity unstrapped magnetron anode, demonstrating how equivalent circuit parameters depend on device
geometry. The results obtained enable modelling of the electromagnetic behavior of the magnetron anode through an equivalent circuit, which in turn facilitates the study of these devices and the design of control systems.

Author Biographies

  • Markel Larrea-Undabeitia, Euskal Herriko Unibertsitatea (EHU)

    Markel Larrea-Undabeitia received the bachelor’s degree in physics and electronic engineering from the University of the Basque Country (EHU), Leioa, Spain, in 2024, where he is currently pursuing the master’s degree in the European Master for Industry in Microwave Electronics and Photonics (EMIMEP) programme. His main research interests include electromagnetic simulation, magnetrons and high-power electronics.

  • Joaquín Portilla, Euskal Herriko Unibertsitatea (EHU)

    Joaquín Portilla received the bachelor’s degree in physics, specializing in electronics from the University of Cantabria, Santander, Spain, in 1990, and the Ph.D. degree from the University of Limoges, Limoges, France, in 1994. In 1994, he joined the Department of Communications Engineering,
    University of Cantabria, working on research and development projects in RF and microwave circuits for radiocommunications. He conducted his Ph.D. research at IRCOM (now XLIM), University of Limoges. He also collaborated in teaching within the Telecommunications Engineering Program. In 1997, he joined the Institute of Physics of Cantabria (IFCA), Santander, to develop radiometers for the ESA’s Planck Project. In 1998, he became part of the Department of Electricity and Electronics, University of the Basque Country (UPV/EHU), Leioa, Spain, where he coleads the RF and microwave research group and participates in research and development projects in radiocommunications and scientific instrumentation. He has held various academic management roles and is currently part of the the team driving the Erasmus Mundus Master on Innovative Electronics and Photonics.

  • Jorge Feuchtwanger, Euskal Herriko Unibertsitatea (EHU), Ikerbasque

    Jorge Feuchtwanger was born in 1975. He received the Ph.D. degree in materials science from Massachusetts Institute of Technology, Cambridge, MA, USA, in 2006. He is currently a Visiting Professor with the Department of Electricity and Electronics, University of the Basque Country, Leioa, Spain, and an Ikerbasque Research Associate. His work focuses on projects related to particle accelerators.

  • Iñigo Arredondo, Euskal Herriko Unibertsitatea (EHU)

    Iñigo Arredondo received the bachelor’s degree in electronic engineering from the University of the Basque Country (UPV/EHU), Leioa, Spain, in 2003, the degree in physics from the University of Cantabria, Santander, Spain, in 2004, and the Ph.D. degree from UPV/EHU, in 2009. He was with the Control Group of the European Spallation Source Consortium Bilbao, Zamudio, Spain, from 2009 to 2014, where he was promoted to the Head of the Group. He then went on to take up a teaching position at the Digipen-Europe Technological Institute, Bilbao, Spain, from 2014 to 2016. He is currently an Associate Professor of Electronics and Automation at the UPV/EHU. His main research interests include design and control of particle accelerators and control of nonlinear systems.

  • Beñat Gonzalez, Euskal Herriko Unibertsitatea (EHU)

    Beñat Gonzalez received the bachelor’s degree in physics and electronic engineering from the University of the Basque Country (EHU), Leioa, Spain, in 2024, where he is currently pursuing the master’s degree in the European Master for Industry in Microwave Electronics and Photonics (EMIMEP) programme. His main research interests include electromagnetic simulation and structures for particle acceleration.

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Published

2026-09-01

Issue

No. 47 (2026)

Section

Modelado, Simulación y Optimización

License

Copyright (c) 2026 Markel Larrea-Undabeitia, Joaquín Portilla, Jorge Feuchtwanger, Iñigo Arredondo, Beñat González

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.