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COBEM 2023

27th International Congress of Mechanical Engineering

Non-linear Electrical Submersible Pump Model for Model Predictive Control considering viscous effects

Submission Author: Mauricio Barrios Castellanos , SP
Co-Authors: Mauricio Barrios Castellanos, Alberto Luiz Serpa
Presenter: Mauricio Barrios Castellanos

doi://10.26678/ABCM.COBEM2023.COB2023-1548

 

Abstract

Electric Submersible pumps (ESPs) are critical equipment for the artificial lift and transportation of viscous fluids. ESPs also work in severe conditions, including abrasion, gas, and emulsion, requiring continuous monitoring and control. Model Predictive Control (MPC) is a process control approach that can reduce energy consumption, keeping the operation safe within operational limits. This paper presents a non-linear ESP model for MPC based on the Hammerstein-Weiner modeling strategy. The proposed model presents a simplified solution for pumping dynamics considering the changes in fluid viscosity, enabling safe and continuous operation. The experimental arrangement consists of an 8-stage ESP operating with oil. The experiments were in steady-state and transient-state. The experimental procedure consists of varying pump rotation and choke valve aperture. The pump rotation varied from 1000 to 3500 rpm in steps between 0 and 300 rpm. The choke valve opening varied from 19 to 100% of the opening in steps between 0 and 18%. The fluid's viscosity in the experiments was monitored, varying between 70 to 250 cP. This paper proposes a Non-linear model that considers the viscosity effects of the fluid in the system dynamics. The model formulation involves a non-linear model in which the dynamic state-space model (DSS) inputs are the outputs of a non-linear steady-state model (SSM). The SSM considered the pump and the downstream elements, including the choke valve. The proposed model was fitted and validated using experimental data. A simulation comparing the model and the experimental setup behavior shows errors below 5% between prediction and plant behavior in at least 80% of the dynamical simulation.

Keywords

Non-Linear Model, Model Predictive Control, Electrical Submersible Pump (ESP), Dynamical Model, fluid dynamics

 

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