Details

Title

The applications of fixed-point theorem in optimisation problems

Journal title

Archives of Electrical Engineering

Yearbook

2012

Volume

vol. 61

Numer

No 2 June

Authors

Keywords

optimisation ; fixed-point theorem ; hysteresis ; parameter estimation

Divisions of PAS

Nauki Techniczne

Coverage

189-198

Publisher

Polish Academy of Sciences

Date

2012

Type

Artykuły / Articles

Identifier

eISSN: 2300-2506 ; ISSN: 1427-4221

References

Björkmann M., Holmström K., <i>Global optimization using the DIRECT algorithm in Matlab.</i> Technical report IMa-TOM-1998-12, Mälardalen University, Västeras, Sweden (1999). ; Bronsztejn I. (2007), Nowoczesne kompendium matematyki. ; Chiampi M. (1995), A Jiles-Atherton and Fixed-Point combined technique for time periodic magnetic field problems with hysteresis, IEEE Transactions on Magnetics, 31, 6, 4306, doi.org/10.1109/20.488295 ; Chwastek K. (2007), An alternative method to estimate the parameters of Jiles-Atherton model, Journal of Magnetism and Magnetic Materials, 314, 47, doi.org/10.1016/j.jmmm.2007.02.157 ; Chwastek K. (2008), Estimation methods for the Jiles-Atherton model parameters - a review, Przegląd Elektrotechniczny (Electrotechnical Review), 12, 145. ; Chwastek K. (2009), Modelling of dynamic hysteresis loops using the Jiles-Atherton approach, Mathematical and Computer Modelling of Dynamical Systems, 15, 1, 95, doi.org/10.1080/13873950802432016 ; (1978), Towards Global Optimisation, 2. ; Finkel D. E., <i>Global optimization with the DIRECT algorithm.</i> PhD Thesis, North Carolina State University, Raleigh (2005). ; Floudas C. (1990), A collection of test problems for constrained global optimization algorithms, doi.org/10.1007/3-540-53032-0 ; Hănţilă I. (1975), A method for solving stationary magnetic field in nonlinear media, Revue Roumaine des Sciences Techniques-Électrotechnique et Énergétique, 20, 3, 397. ; (1995), Handbook of global optimization. ; Jagieła M. (2007), Calculation of core loss using the Jiles-Atherton model incorporated into magnetic field analysis, Archives of Electrical Engineering, 56, 1, 57. ; Jędryczka C. (2009), The influence of magnetic hysteresis on magnetorheological fluid clutch operation, COMPEL, 28, 3, 711, doi.org/10.1108/03321640910940963 ; Jiles D. (1986), Theory of ferromagnetic hysteresis, Journal of Magnetism and Magnetic Materials, 61, 1, 48, doi.org/10.1016/0304-8853(86)90066-1 ; Jiles D. (1992), Numerical determination of hysteresis model parameters for the modeling of magnetic properties using the theory of ferromagnetic hysteresis, IEEE Transactions on Magnetics, 28, 1, 27, doi.org/10.1109/20.119813 ; Jones D. (1993), Lipschitzian optimization without the Lipschitz constant, Journal of Optimization Theory and Applications, 79, 1, 157, doi.org/10.1007/BF00941892 ; Knypiński Ł. (2011), Optimization and field-circuit simulation of permanent magnet brushless DC motor, Conference Archives PTETiS, 29, 451. ; Kudrewicz J. (1991), Dynamika pętli fazowej. (Dynamics of phase locked loop - in Polish). ; Łyskawiński W. (2011), Numerical analysis of hysteresis loss in pulse transformer, Archives of Electrical Engineering, 60, 2, 187, doi.org/10.2478/v10171-011-0018-3 ; Muszyński J. (1984), Równania różniczkowe zwyczajne. (Ordinary differential equations - in Polish). ; Neumaier A. (2004), Complete search in continuous global optimisation and constraint satisfaction. ; Peitgen H.-O. (1995), Granice chaosu. Fraktale. cz. 1 (Polish translation of Chaos and fractals. New frontiers of science.). ; Pintér J. (2007), Nonlinear optimization with GAMS / LGO, Journal of Global Optimization, 38, 79, doi.org/10.1007/s10898-006-9084-2 ; Sadowski N. (2002), An inverse Jiles-Atherton model to take into account hysteresis in time-stepping finite-element calculations, IEEE Transactions on Magnetism, 38, 2, 797, doi.org/10.1109/20.996206

DOI

10.2478/v10171-012-0016-0

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