Optimal Design of Inductors Based on Homethetic Shape and Geometrical Programming

A poster presented at EPE'19 by Jaime Zappata & Thierry Meynard

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optimal design inductors homothetic shape geometrical programming
The Power Design Tecnhologies’team is honoured to be sharing with you the poster presented by Prof. Thierry Meynard PhD., our Scientific Advisor and his colleague Jaime Zappata from the LAPLACE laboratory on the Optimal Design of Inductors Based on Homothetic Shape and Using Geometric Programming.


The efficiency and power density of a converter are two major characteristics but they are antagonists, the designer has to find a tade-off between them. This is generally formulated as a multi-objective optimization problem giving a pareto front, and it can be encoutered at the system level, at subsystem level or even at the component level. In general the formulation needs to be different at each level because optimization algorithms are not robust enough and cannot guarantee convergence on large scale problems. This paper proposes a design method for inductors, using a mathematical formalism known as Geometric Programming (GP) that gives strong guarantees of convergence whatever the size of the problem. The design model describes objective and constraint functions using monomials and posynomials to comply with GP rules and works with homothetic shapes

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About the Authors

Thierry Meynard - Co-founder & Scientific Advisor Power Design Technologies

Thierry Meynard – Co-founder & Scientific Advisor / Power Design Technologies

Thierry Meynard graduated from the Ecole Nationale Supérieure d’Electrotechnique, d’Electronique, d’Hydraulique de Toulouse in 1985, became a Doctor of the Institut National Polytechnique de Toulouse, France, in 1988 and was then an invited researcher at the Université du Québec à Trois Rivières, Canada, in 1989. He joined the CNRS (Centre National de la Recherche Scientifique) as a full-time researcher in 1990, was Head of the Static Converter Group from 1994 to 2001, and has been a part-time consultant with Cirtem from 2000 to 2016. He is now Directeur de Recherches CNRS at the LAPLACE(*) laboratory, associate director of the national program 3DPHI (3-Dimensional Power Hybrid Integration) and co-founder and part time consultant of the start-up Power Design Technologies.

His main research interests are related to series and parallel multicell converters, magnetic components and the development of design tools for power electronics.

He is the co-inventor of several topologies of multilevel converter used by ABB, Alstom, Cirtem, General Electric, Schneider Electric : ‘Flying capacitor’, ‘Stacked MultiCell’, ‘5LANPC’, ‘AC/AC chopper’,….

(*) Laboratoire Plasma et Conversion d’Energie, UMR CNRS n° 5213, B.P. 7122, 2, rue Camichel, 31071 Toulouse Cedex 7 FRANCE


jaime zappata expert power electronics

Jaime Zappata – ​ R&D Scientific Researcher / Power Design Technologies

Jaime Zappata was born in Latacunga, Ecuador, in 1990. He received the Engineer degree in electronics engineering from Escuela Politecnica Nacional, Ecuador, in 2013. In 2018, he received the Ph.D. degree in electronics engineering from Universidad Tecnica Federico Santa Maria, Chile. From 2009 to 2011, he was a Postdoctoral Fellow in the “Laboratoire plasma et conversion d energie (LAPLACE)”, Toulouse, France.

He is currently Project Leader in Nidec ASI Company, involved in R&D of power electronics and smart grid applications. His research interests include power electronics, high-frequency dc-dc converters, multilevel topologies, photovoltaic energy power conversion systems and smart grid applications. In my free time I play the drum set, I write in my personal Blog (https://olvidatumundo.wordpress.com), and I like the video games.

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