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2. Efficient worst-case analysis of electronic networks in intervals of frequency

Author

Ferber De Vieira Lessa, Moises, Korniienko, Anton, Lofberg, Johan, Morel, Florent, Scorletti, Gérard, Vollaire, Christian, Federal University of Santa Catarina (UFSC), Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Department of Electrical Engineering (LIU), Linköping University (LIU), Ampère, Département Energie Electrique (EE), and Fonds de LIA Maxwell

Subjects
Robustness Analysis, Convex Optimization, Worst-case Analysis, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Electric Circuits, Uncertainty, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

International audience; This paper presents a new method to compute upper and lower bounds of any voltage or current of an arbitrary linear electric circuit model with uncertain parameters. The bounds are in the frequency domain, and when compared to a previously proposed method, this novel approach provides a higher level of guarantee. The reason is that the bounds are not only computed for a set of fixed frequencies but also computed to a set of intervals of frequencies. The details of the proposed approach, especially the equivalent uncertain element models, are given. Additionally, tests are performed on problems with low and high number of uncertain parameters. Contrary to the classical method of Monte Carlo, the results are not based on a random choice of parameters and do not depend on the number of iterations. It is shown on an example that the classical method of Monte Carlo needs a high number of iterations to reach results in agreement with the proposed method. Then, it leads to higher computation times of several orders of magnitude.

Published
2017
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3. Efficient Robustness Analysis of Electronic Networks in the Frequency Domain

Author

Ferber De Vieira Lessa, Moises, Korniienko, Anton, Lofberg, Johan, Morel, Florent, Scorletti, Gérard, Vollaire, Christian, Universidade Federal de Santa Catarina = Federal University of Santa Catarina [Florianópolis] (UFSC), Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Department of Electrical Engineering (LIU), Linköping University (LIU), Ampère, Département Energie Electrique (EE), and Korniienko, Anton

Subjects
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, [SPI.AUTO] Engineering Sciences [physics]/Automatic, [SPI.ELEC] Engineering Sciences [physics]/Electromagnetism, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

International audience; Robustness analysis consists of analyzing if a system performs as it was intended to, even when parametric variations occur. Robustness is particularly interesting in critical applications, where decreased performance or failur cannot be tolerated, such as aerospace or nuclear industry electronic devices. In this context, it is important to develop methodologies to efficiently assess electronic systems robustness, even when the number of parameters or frequency ranges is large.In (Ferber et al, “Systematic LFT Derivation of Uncertain Electrical Circuits for Worst-Case Tolerance Analysis”, IEEE Transactions on EMC, vol. 57, issue 5, pp. 937-946, 2015), the authors presented a methodology to address the aforementioned problem that is efficient for a large number of parameters, since it is based on convex optimization. Upper and lower bounds on the system’s performance for a given frequency can be quickly obtained, even with hundreds of uncertain parameters. However, the computational time can still be large for problems that require a fine frequency grid i.e. a large frequency range with many considered frequencies.The contribution of this new work is to present an alternative methodology that overcomes the necessity of refining the frequency grid by computing bounds for the worst-case over a given frequency range. New forms of modeling the basic electrical components are proposed, such that an analysis on an interval of frequency can be carried out in one optimization run, instead of several runs on a fine frequency grid. Moreover, a new technique to overcome numerical issues is also presented.The method was implemented and tested on different problems related to conducted and radiated electromagnetic interference. The results are in accordance with the classical Monte Carlo method. The two main advantages of the proposed method related to Monte Carlo are: (1) the bounds are formally guaranteed to be respected in any combination of parameter values in a certain range and (2) the computational time required to compute the bounds is orders of magnitude lower than of Monte Carlo.

Published
2016

4. Systematic LFT Derivation of Uncertain Electrical Circuits for Worst-Case Tolerance Analysis

Author

Ferber De Vieira Lessa, Moises, Korniienko, Anton, Scorletti, Gérard, Vollaire, Christian, Morel, Florent, Krähenbühl, Laurent, Vasconcelos, Joao, Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), LIA franco brésilien James Clerk Maxwell (CNRS-CNPq) (LIA817), Ampère, Département Energie Electrique (EE), Departamento de Engenharia Elétrica [Minas Gerais] (DEE - UFMG), Universidade Federal de Minas Gerais, Laboratoire Ampère CNRS UMR 5005, Université de Lyon, INSA - Lyon, Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), and Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)

Subjects
Robustness analysis of circuits, Linear Fractional Transformation, worst-case analysis, mu-analysis, [SPI.NRJ]Engineering Sciences [physics]/Electric power, nu-analysis, uncertainty, [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

In line with the trend towards continuous miniaturization and price reduction, it is crucial to analyze the impact of uncertainties on the performance of electrical circuits. Performance is evaluated for the worst-case scenario and in the frequency domain, by computing upper and lower bounds. The purpose is not only to propose a method for the worst-case tolerance analysis but also to provide an efficient and a suitable tool for electrical engineers that can be easily applied to realistic electrical engineering problems. The proposed method is based on the robust analysis method (so-called mu-analysis) for which well-known and efficient algorithms exist. However in order to apply it, the problem under consideration has to be transformed in a standard minimal so-called LFT representation. Its derivation is a difficult task even for control systems engineers. Our paper proposes a transparent and systematic LFT derivation procedure for users based only on their knowledge of electrical engineering. At the end of the paper, an industrial example is provided which reveals the benefits and the efficiency of the proposed approach and how it can be applied to any linear electrical circuit.

Published
2014

5. Analysis on Methods to obtain Lumped Parameters for an Inductive Coupling Device

Author

Wolter Ferreira, Daniela, Ferber de Vieira Lessa, Moises, Lebensztajn, Luiz, Müller, Renan, Krähenbühl, Laurent, Morel, Florent, Vollaire, Christian, Escola Politecnica da Universidade de Sao Paulo [Sao Paulo], Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), LIA franco brésilien James Clerk Maxwell (CNRS-CNPq) (LIA817), FAPESP under grants no. 2011/18341-3 and 2012/06254-1, LIA817 Maxwell, and Ampère, Publications

Subjects
[SPI.NRJ]Engineering Sciences [physics]/Electric power, [SPI.NRJ] Engineering Sciences [physics]/Electric power
Abstract

International audience; A reliable lumped parameters model for an Inductive Coupling Device (ICD) is necessary for many reasons, mainly to develop a robust device. This paper compares an analytical method, a proposed method through Finite Element Method (FEM) and two different physical measurement methods. It shows the advantage of FEM over the analytical method, especially in situations with misalignments. This paper also outlines the two measurement methods using different measurement devices: impedance analyzer and vector network analyzer.

Published
2013

6. Uncertainty Analysis of the Conducted Interferences in a DC-DC Converter

Author

Ferber de Vieira Lessa, Moises, Vollaire, Christian, Krähenbühl, Laurent, Vasconcelos, Joao, Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Departamento de Engenharia Elétrica [Minas Gerais] (DEE - UFMG), Universidade Federal de Minas Gerais, LIA franco brésilien James Clerk Maxwell (CNRS-CNPq) (LIA817), ANR-10-VPTT-0013,E-CEM,Compatibilité électromagnétique des systèmes de puissance(2010), Ampère, Publications, and Véhicules pour les Transports Terrestres - Compatibilité électromagnétique des systèmes de puissance - - E-CEM2010 - ANR-10-VPTT-0013 - VTT - VALID

Subjects
[SPI.NRJ]Engineering Sciences [physics]/Electric power, Electromagnetic Compatibility, Power Electronics, Monte Carlo, Parametric Uncertainty, [SPI.NRJ] Engineering Sciences [physics]/Electric power, Probability Density Functions
Abstract

International audience; A new methodology to analyze systems in the time and frequency domain, containing large number of uncertain parameters, is presented. As an example, the conducted interferences of a DC-DC Converter with uncertainties in its component values is analyzed. The model has a large number of parameters, which are described by Probability Density Functions (PDF). The output considered is a standard measurement of conducted interferences and its PDF is rapidly determined, when compared to the Monte Carlo (MC) approach.

Published
2012

7. Calibration methods for a large loop antenna measurement system

Author

Sartori, Carlos, Zangui, Sanaa, Ferber De Vieira Lessa, Moises, Vincent, Benjamin, Perrussel, Ronan, Vollaire, Christian, Krähenbühl, Laurent, Escola Politecnica da Universidade de Sao Paulo [Sao Paulo], Instituto de Pesquisas Energéticas e Nucleares [São Paulo] (IPEN/CNEN-SP), Comissão National de Energia Nuclear (CNEN)-Universidade de São Paulo (USP), LIA franco brésilien James Clerk Maxwell (CNRS-CNPq) (LIA817), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Departamento de Engenharia Elétrica [Minas Gerais] (DEE - UFMG), Universidade Federal de Minas Gerais, Laboratoire de Génie Electrique de Grenoble (G2ELab), and Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)

Subjects
[SPI.NRJ]Engineering Sciences [physics]/Electric power
Abstract

International audience; A hybrid approach concerning the calibration and evaluation of a loop antenna suitable for dipole and quadrupole identification is presented. The main aspects concerning the mutual influence of the loops are considered and emphasized, in particular, when the complete measurement setup is utilized. Analytical and numerical methods are applied. The methods were validated by the available experimental and theoretical results, at the 60 kHz-180 kHz frequency range.

Published
2011

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