By Yukikazu Iwasa
Designed for graduate scholars in mechanical engineering, this textbook discusses the elemental innovations of superconducting magnet know-how. very important themes lined contain box distribution, magnets, strength, thermal balance, dissipation, and defense. to assist the scholars excel within the box, each one bankruptcy comprises educational difficulties, observed by way of suggestions, using solenoidal magnets as examples.
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C HAPTER 3 M AGNETS , FIELDS, AND FORCES 3 . 1 Introduction In this chapter we study magnets, fields, and forces. Magnets discussed in this chapter, all in the Problem Section, include: 1) solenoid; 2) Helmholtz coil; 3) ideal dipole; 4) ideal quadrupole; 5) racetrack; and 6) ideal torus. The two important solenoidal magnets for generation of high magnetic fields (Bitter and hybrid) are also described in the Problem Section. At the present time, field and force computations are generally performed with computer codes that, for a given magnet configuration, give accurate numerical solutions at any location.
The spatially-averaged dissipation density, the strip cross section: , is P (given by Eq. e. both depend not only on the square of time rate of change of magnetic induction but also on the square of conductor width. Lamination to Reduce Eddy-Current Loss Suppose the strip is cut into two strips, each having a total width of b/2. Then from Eq. 61 we see that both and the total power dissipation (over the two narrow strips) will be 1/4 and 1/2 the original values, respectively. Thus, it is possible to reduce eddy-current power dissipation to an arbitrarily small value by dividing a conducting strip into many narrow strips.
11) A field efficiency (η ƒ ) may be defined as have: and from Eq. 12) Note that η ƒ is proportional to λ and G²( α, β ), and is inversely proportional to ρ cu and a 1 . 2.