Transient Temperature Cooling of Transformers: I - Derivation and Evaluation of Equations

Equations are developed for the transient temperature cooling of the transformer cooling medium and for various types of transformer coils over their ambient medium. These have been evaluated on a percent temperature rise base for various powers of the watts dissipated and for both constant watt and constant current input. Some special cases of cooling are derived from the general transient temperature cooling equation and are shown to check the usual derivation.