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## Details

Genre/Form: | Electronic books |
---|---|

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
G A Shneerson; Mikhail I Dolotenko; Sergey I Krivosheev |

ISBN: | 9783110252576 3110252570 |

OCLC Number: | 897443724 |

Description: | 1 online resource. |

Contents: | Introduction; 1 Magnetic fields of axially symmetrical magnetic systems used for generation of the strong fields (methods of calculation, assessment of the edge effects); 1.1 Magnetic field of the systems with the given current distribution; 1.2 The setting of the task for the calculation of a magntic field at a small penetration depth; 1.3 The determination of the parameters of the inductor systems at a strongly-pronounced skin effect according to the simplified field pattern; 1.3.1 The field of single-turn solenoids (flat ring) above the ideally-conducting plane (h ± r1). 1.3.2 The field of multiwinding solenoid in the form of a flat spiral above the plane (Figure 1.6b)1.3.3 Field of solenoid in off-loading cylindrical screens; 1.4 Edge effects in single-coil magnets. Modelling of problems; 1.5 References; 2 Calculating formulas and the results of numerical estimations of field parameters for typical single-turn magnets; 2.1 The field of the flat ring as an example of the single-turn magnet with sharply pronounced edge effect; 2.2 The coil of a rounded cross-section (an ideally conductive toroid); 2.3 Thin-wall single-turn magnets. 2.4 The field of rectangular coils with arbitrary ratios of characteristic dimensions2.5 Induction of the one-turn magnet placed near the coaxial cylinder or the plane; 2.6 References; 3 Field diffusion into the conductors and their heating; 3.1 Adiabatic heating of conductors at a given current density; 3.2 Linear regime of field diffusion in conductors; 3.3 The surface impedance. Energy losses in the skin layer with sinusoidal current; 3.4 The asymptotical values of the magnetic field intensity and current density at the conductor edge under the condition of a pronounced skin effect. 3.5 Examples of the diffusion of the uniform pulse electromagnetic field into a medium with constant conductivity3.6 Energy generation and heating a medium in the case of diffusion of the pulse magnetic field into the conductor; 3.7 Heating of a conductor with a current in an external magnetic field; 3.8 Minimization of a uniform medium heating under diffusion of the pulse magnetic field; 3.9 One-dimensional diffusion of the field into a medium with conductivity depending on the coordinate. Reduction of energy generation in the surface layer. 3.10 One-dimensional nonlinear diffusion of the magnetic field into the conductor heated by the eddy current3.11 Approximate description of the surface effect. "The skin layer method"; 3.12 References; 4 Matching of the parameters of solenoids and power supply sources; 4.1 General requirements to the power supply source; 4.2 Optimization of the parameters of the system of solenoids -- capacity energy storage; 4.3 Optimization of solenoids according to Fabri; 4.4 Transformations of energy in a circuit with alternating inductance. |

Series Title: | De Gruyter studies in mathematical physics. |

Responsibility: | German A. Shneerson, Mikhail I. Dolotenko, Sergey I. Krivosheev. |

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"[...] this book should be of interest for researchers in pure physics of super-strong magnetic fields, for engineers who develop devices that generate such fields, and for those who use them in various fields of practical application. Also, graduate students shall be able to greatly benefit from it." Zentralblatt f r Mathematik Read more...

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