In this paper it is presented the optimal design problem of an impeller with a view to electromechanical systems optimization. The mathematical model, used for power loss determination in the time unit due to the fluid rotational movement, it is obtained starting from impulse equation , , .
The optimization problem is solved used the calculus of variations method. Finally, the optimal values of the variables which define the impeller are obtained.
In the case of using an induction motor it isn't a big difference between the flow and pressure theoretical values resulted following the optimization process and those are resulted in fact due to an efficient propeller fan drive.