Abstract
A mathematical formulation and algorithm is proposed for the design of superconducting cryoturbogenerator field windings, e.g., saddle-shaped windings. The choice of the particular set of component dimensions in a cross-sectional plane of a rotor can be optimized in combination with the dimensions of the supporting elements for the winding and cooling channels as well as the percentage of superconducting material in a cable cross section. This set of variable parameters is considered to be optimum for a given external diameter of a winding if it results in a maximum flux in the armature-winding region (corresponding to the unit length of an active part of the winding) and it meets the constraints of cryostatic stability and strength.
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Abbreviations
- A :
-
= cross-sectional area of conductor
- a i :
-
= thickness of ith tooth
- b i :
-
= width of ith modulus
- B :
-
= magnetic induction
- I :
-
= transport current
- j :
-
= current density
- j c :
-
= critical current density
- j sc :
-
= current density in superconductor
- P :
-
= perimeter of cooled surface
- T o :
-
= helium temperature
- T c (j, B):
-
= critical temperature of superconductor carrying current of density j at a flux B
- y i :
-
= height of ith modulus
- ß :
-
= safety factor allowing for the possible degradation, ß < 1
- ζ :
-
= superconductor fraction of a cable cross section
- 2υ :
-
= number of moduli for a pole
- ρ Cu :
-
= resistivity of copper matrix at 20 K
- Φ :
-
= magnetic flux
References
E. Polak, Computational Methods in Optimization, Academic Press, New York (1971).
D. J. Wilde, Optimum Seeking Methods, Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1964).
I. S. Zhitomirskii and R. V. Gavrilov, Magnitnoje pole i elektrodinamicheskije usiliya v ekranirovannoy elektricheskoy machine s nemagnitnym serdechnikom, Izvestiya AN USSR, Energetika i transport (5):122 (1977).
S. L. Wipf, “Stability and Degradation of Superconducting Current-Carrying Devices,” Los Alamos Scientific Laboratory Rept. LA-7275 (December 1978).
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© 1980 Springer Science+Business Media New York
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Verkin, B.I., Zhitomirskii, I.S., Gavrilov, R.V. (1980). Optimization of Superconducting Cryoturbogenerator Field-Winding Parameters. In: Timmerhaus, K.D., Snyder, H.A. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 35 A. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9856-1_18
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DOI: https://doi.org/10.1007/978-1-4613-9856-1_18
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