Abstract
The article represents the effectiveness of the S-codes in the regional-analytical structures of thermal conductivity problems decision by giving the example of calculation of stationary thermal field of the magnetic conductor of a transformer. The finite integral transformation, regional-structural and projection methods are applied for jointly decision. Decision structures exactly satisfy the thermal conductivity equation in the regions and the junction conditions of the contact boundaries, and include S-codes, accurately accounting the geometry of the studied area. Regionalanalytical structures are universal regarding the model parameters. Thus, it is possible to use them for multivariate diagnosis and forecasting of thermal conditions in three-dimensional structures. Results of a decision can be represented in an approximate analytical form, so that a compact database of thermal behavior of structures can be created. Regional-analytical decision structures in boundary-value problems have more natural approximation apparatus than analytical structures have in a single expression, which makes them a useful tool for modeling of compound objects.
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