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710 2 _aSpringerLink (Online service)
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020 _a9789811302305
024 7 _a10.1007/978-981-13-0230-5
_2doi
040 _bspa
_dES-MaUEC
050 4 _aTK7872.M25
_b2019 EB
100 1 _aPark, Il Han.
_eautor
245 1 0 _aDesign Sensitivity Analysis and Optimization of Electromagnetic Systems
_cby Il Han Park.
264 1 _aSingapore
_bSpringer Singapore :
_bImprint: Springer
_c2019.
300 _a1 recurso en línea (XVI, 368 páginas)
_b203 ilustraciones
347 _atext file
_bPDF
490 0 _aEngineering (Springer-11647)
490 0 _aMathematical and Analytical Techniques with Applications to Engineering
_x1559-7458
505 0 _a1. Introduction -- 1.1 Optimal Design Process -- 1.2 Design Steps of Electromagnetic System -- 1.3 Design Variables -- 1.4 Equations and Characteristics of Electromagnetic Systems -- 1.5 Design Sensitivity Analysis -- 2. Variational Formulation of Electromagnetic Systems -- 2.1 Variational Formulation of Electrostatic System -- 2.2 Variational Formulation of Magnetostatic System -- 2.3 Variational Formulation of Eddy Current System -- 2.4 Variational Formulation of DC Conductor System -- 3. Continuum Shape Design Sensitivity of Electrostatic System -- 3.1 Material Derivative and Formula -- 3.2 Shape Sensitivity of Outer Boundary -- 3.3 Shape Sensitivity of Outer Boundary for System Energy -- 3.4 Shape Sensitivity of Interface -- 3.5 Shape Sensitivity of Interface for System Energy -- 4. Continuum Shape Design Sensitivity of Magnetostatic System -- 4.1 Interface Shape Sensitivity -- 4.2 Interface Shape Sensitivity for System Energy -- 5. Continuum Shape Design Sensitivity of Eddy Current System -- 5.1 Interface Shape Sensitivity -- 5.2 Interface Shape Sensitivity for System Power -- 6. Continuum Shape Design Sensitivity of DC Conductor System -- 6.1 Shape Sensitivity of Outer Boundary -- 6.2 Shape Sensitivity of Outer Boundary for Joule loss power -- 7. Level Set Method and Continuum Sensitivity -- 7.1 Level Set Method -- 7.2 Coupling of Continuum Sensitivity and Level Set Method -- 7.3 Numerical Considerations -- 8. Hole and Dot Sensitivity for Topology Optimization -- 8.1 Hole Sensitivity -- 8.2 Dot Sensitivity -- Appendix A. More Examples of Electrostatic System -- Appendix B. More Examples of Magnetostatic System -- Appendix C. More Examples of Eddy Current System -- Appendix D. More Examples of DC Conductor System.
520 3 _aThis book presents a comprehensive introduction to design sensitivity analysis theory as applied to electromagnetic systems. It treats the subject in a unified manner, providing numerical methods and design examples. The specific focus is on continuum design sensitivity analysis, which offers significant advantages over discrete design sensitivity methods. Continuum design sensitivity formulas are derived from the material derivative in continuum mechanics and the variational form of the governing equation. Continuum sensitivity analysis is applied to Maxwell equations of electrostatic, magnetostatic and eddy-current systems, and then the sensitivity formulas for each system are derived in a closed form; an integration along the design interface. The book also introduces the recent breakthrough of the topology optimization method, which is accomplished by coupling the level set method and continuum design sensitivity. This topology optimization method enhances the possibility of the global minimum with minimised computational time, and in addition the evolving shapes during the iterative design process are easily captured in the level set equation. Moreover, since the optimization algorithm is transformed into a well-known transient analysis algorithm for differential equations, its numerical implementation becomes very simple and convenient. Despite the complex derivation processes and mathematical expressions, the obtained sensitivity formulas are very straightforward for numerical implementation. This book provides detailed explanation of the background theory and the derivation process, which will help readers understand the design method and will set the foundation for advanced research in the future.
650 7 _aElectromagnetismo
_xModelos matemáticos
_2embne
776 0 8 _iPrinted edition:
_z9789811302299
776 0 8 _iPrinted edition:
_z9789811302312
776 0 8 _iPrinted edition:
_z9789811343643
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-981-13-0230-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
988 _aPrimersemestre_2019_Engineering
998 _aSI
_a_alco
_a_vill
_b08/2019
_cm
_dz
_ea
_feng
_ggw
_h0