# ANALYSIS OF MATHEMATICAL MODELS OF OPTIMAL LONGITUDINAL-TRANSVERSE GEOMETRY TURBO

Analyzed mathematical model of a turbogenerator in a static mode, on the basis of which the optimal values of magnetic induction in the air gap and the relative diameter of the bore of stator, ensuring the best use of the active materials of the machine relative to the electromagnetic on time. The influence of the relative axial length of the steel package of the stator of the machine, the number of poles, the number of teeth of the stator core and the values of magnetic induction in the teeth and in the stator core at the optimal transverse geometry of the turbine. It is shown that the increase of magnetic inductions at sites of the magnetic system of the stator accompanied by an increase in the optimal value of magnetic induction in the air gap and does not influence the optimal value of the relative diameter of the bore of the stator of a turbogenerator. The mathematical expression to determine the outer diameter of the steel package of the stator, ensuring the optimum use of materials in the volume of the active core of the unit relative to the electromagnetic torque. The results of comparison of numerical values of the parameters, designed and in operation of turbine generators with optimal numerical values of these same parameters, but calculated on the basis of the developed mathematical model.

**Authors:** М. А. Vaganov, K. A. Kolupitsky

**Direction:** Electrical Engineering

**Keywords:** Magnetic induction in the air gap, the magnetic induction in the back of the stator core, the magnetic induction in the teeth of the stator core, the relative diameter of the bore of the stator, the relative length of the steel package of the stator, the number of poles of the machine, the number of teeth of the stator, the outer diameter of the steel package of the stator

View full article