Study of an objective function of the energetic parameters for the electric drive of a beam pumping unit

The process of extracting crude oil with an electric driven pumping unit is conditioned by several specific energetic parameters, such as crude oil flow rate, specific energy consumption, Pbreak/Puseful ratio, power factor and efficiency. It is necessary to study the process in relation to each parameter, but then, it is desired to establish an objective function for the respective process, which simultaneously includes several parameters, with different weights. In the case analyzed here, we will refer to a crude oil beam pumping unit in Canadian version for which all constructive data were obtained and for which the data files with all the values of the mechanical parameters could be calculated, necessary to achieve a simulation scheme adapted to the real model. The aim is to obtain a finality of this objective function, such as a maximum of its value in relation to some certain factor, the operating frequency and the $k_{i}/k_{p}$ domain of the speed controller of the electric drive.