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This paper deals with a model for the numerical calculations of thermal fields in superconducting a.c. magnet coils. The solution is based on Poisson's partial differential equation solved by the finite difference technique with the Guass‐Seidel (Liebmann) iteration method. The model contains numerical solutions for the magnetic field and calculations of heat losses generated by the coil winding. The computer program is briefly described and some results of calculations are presented.