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Mathematical Model of a Series-Parallel (SP) photovoltaic (PV) generator represents each module through an equivalent electrical circuit denominated single diode model, this model has associated a nonlinear equation system that describes the electrical behavior of SP generator. This paper presents a solution of this system using optimization methods widely using: Trust Region Dogleg and Particle swarm optimization (PSO) for solving the electrical model of PV generator operating under homogeneous or non-homogeneous conditions, changing the number of submodules and shading pattern. It has been made simulations about generators composed by 3 and 15 series submodules, operating under different partial shading conditions. Between the implemented methods, Trust Region Dogleg show a better performance than other methods, with 2 and 14 times less computation time than the reference method and PSO, respectively, and a RMSE equal or 50% lower than PSO. [ABSTRACT FROM AUTHOR]

Progressive Cavity Pumps (PCP) is an artificial fluid lift method widely used in oil wells of Colombia, Canada and Venezuela, where the pump is driven by a rod connected to the motor located at the surface. Efficiency in energy production is critical, and the current control techniques used are based on discrete changes, seeking for an operational point. This approach can be improved, and optimization techniques proposed are presented in this paper. Strategies of control based on continuous adjustments of motor speed and fuzzy logic together with a downhole pressure sensor are simulated for this nonlinear system. Utilization of Kalman filtering, for estimation of the fluid level in wells that are not instrumented, is proposed. Linear Quadratic Regulator (LQR) also is used to optimize production performance. Results show good performance compared with current techniques. [ABSTRACT FROM AUTHOR]