Optimization of pump configurations as a MINLP problem

Westerlund, Tapio; Pettersson, Frank; Grossmann, Ignacio E.

doi:10.1016/0098-1354(94)e0006-9

Cited by 81 publications

(49 citation statements)

References 14 publications

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“…Mixed Integer Programming is applied to find the optimal locations of wells in an underground reservoir and the proper sequencing of flow rates from those wells so that the difference between the production demand and the actual flow is minimized [1], [2]. An Extended Cutting Plane (ECP) method combined with BB method is used for solving pump configurations as a MINLP problem in [3] with respect to minimizing the total cost including the investment and the running costs of the pumps. For a non convex pump configuration problem, global optimum solution is obtained by using binary separable programming [4].…”

Section: Introductionmentioning

confidence: 99%

Mixed Integer Nonlinear Optimization for ESP Lifted Oil Field and Improved Operation through Production Valve Choking

Sharma¹,

Glemmestad²

2014

IJMO

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Abstract-The demand for the total production of oil from an Electric Submersible Pump (ESP) lifted oil field may vary with time. It may not always be economically profitable to use all of the available oil wells for varying production rates. Depending on the amount of oil to be produced from the oil field, some of the oil wells may have to be shut down. The number of oil wells to be used should be properly selected. Not only the number of oil wells should be known, but which wells to use should also be exactly identified. The operating speed of the ESP and the production choke valve opening of each selected oil well should be optimally chosen so that the profit from the oil field is maximized by keeping the operational expenses at the minimum. The oil well scheduling problem is formulated as a Mixed Integer Nonlinear Programming (MINLP) problem. The cost of the electrical power consumed by the pumps, the operational cost of separation process and the income from the oil production are considered for the MINLP formulation. In the first part of the paper, the production choke valves are always fully opened and the number of wells and their respective pump speeds are calculated for varying total production flow rates. However, in the second half of the paper, it is shown that the operation of the oil field can be improved in terms of power consumption through production valve choking.Index Terms-Mixed integer nonlinear programming, ESP lifted oil field, well scheduling, optimal operation, production valve choking. I. INTRODUCTIONIn an ESP lifted oil field, multiple oil wells are connected in parallel to a common gathering manifold. The oil produced from each of the wells is collected by the gathering manifold and then transported to the separator through the transportation lines (see Fig. 4). Each oil well is fitted with a multistage centrifugal pump. The main operational expense in the oil field is the total cost of power consumed by the pumps and the cost of operating the separator. The income is the production of crude oil from the field. The energy costs associated with the operation of the pumps in an ESP lifted oil field is of great significance when multiple oils wells are considered. The cost of operating the separator is less significant compared to the energy costs of the pumps.The total amount of oil to be produced from the field may vary. For higher production rates from the oil field, all of the available oil wells may be used to meet the demand. On the contrary for lower production rates, some of the oil wells of the oil field can be shut down to meet the lower production demand. The lower the pump speed, the lower is the fluid flow rate through the well. However, running all of the available oil wells at lower pump speeds for fulfilling lower production demands might not be beneficial. The wells might be consuming more power than what is actually needed. Shutting down an oil well reduces the consumption of electric power as the ESP for the well is turned off. So, the balance between fulfilling the to...

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Section: Introductionmentioning

confidence: 99%

Mixed Integer Nonlinear Optimization for ESP Lifted Oil Field and Improved Operation through Production Valve Choking

Sharma¹,

Glemmestad²

2014

IJMO

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“…Thirty-seven local minima have been reported in Pettersson and coworkers 29 for the deterministic problem. Another source of difficulty comes from the huge space of decision variables.…”

Section: Numerical Examplesmentioning

confidence: 91%

“…The pump network synthesis problem is studied by Goyal and Ierapetritou, 21 Adjiman et al, 28 and Westerlund et al 29 This problem belongs to the class of nonconvex MINLPs. The aim is to identify the least costly configuration of centrifugal pumps that achieves a prespecified pressure rise based on a given total flow rate.…”

Section: Numerical Examplesmentioning

confidence: 99%

Stochastic mixed integer nonlinear programming using rank filter and ordinal optimization

Wen

Ydstie

2009

AIChE Journal

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A rank filter algorithm is developed to cope with the computational-difficulty in solving stochastic mixed integer nonlinear programming (SMINLP) problems. The proposed approximation method estimates the expected performance values, whose relative rank forms a subset of good solutions with high probability. Suboptimal solutions are obtained by searching the subset using the accurate performances. High-computational efficiency is achieved, because the accurate performance is limited to a small subset of the search space. Three benchmark problems show that the rank filter algorithm can reduce computational expense by several orders of magnitude without significant loss of precision. The rank filter algorithm presents an efficient approach for solving the large-scale SMINLP problems that are nonconvex, highly combinatorial, and strongly nonlinear. V

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“…Numerous literature on optimization and control of multi-pump systems can be found as in Westerlund et al (1994), Pettersson and Westerlund (1996), Pedersen and Yang (2008) and Yang et al (2012). However, none of the literature deal with the optimal operation of an ESP lifted oil field.…”

Section: Introductionmentioning

confidence: 99%

Optimal control strategies with nonlinear optimization for an Electric Submersible Pump lifted oil field

Sharma¹,

Glemmestad²

2013

MIC

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In an Electric Submersible Pump (ESP) lifted oil field, the ESP of each oil well should be operated inside its operating window. The total power consumed by the ESPs in the oil field should be minimized. The speed of the ESPs and the production choke valve opening should be optimally chosen for maximizing the total oil produced from the oil field. At the same time, the capacity of the separator should not be exceeded. In this paper, nonlinear steady state optimization based on Sequential Quadratic Programming (SQP) is developed. Two optimal control structures are proposed in this paper. In the first case, the optimal pump speed is controlled by a PI controller by varying the electrical excitation signal to the motors. The optimal fluid flow rate through each oil well is controlled by another PI controller by varying the production choke valve opening. The paper shows that the production choke valve for each oil well has to be always 100% open to maintain the optimal fluid flow rate. In the second case, the production choke valves are considered to be always 100% open as hard constraints. The optimal fluid flow rate through each oil well is controlled by a PI controller by varying the pump speed. It is shown that when the optimal fluid flow rate is tracked by the controller, the speed of each of the pumps is equal to the optimal pump speed calculated by the optimizer. This basically means that we can achieve the optimization objective with the same optimal results as in the first case by using only a single PI controller. The limitations of these two optimal control structures for very low values and for very high values of the separator capacity are discussed. For the feasible range of separator capacities, the optimal locus of the fluid flow rate and the pump speed are shown in this paper.

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Optimization of pump configurations as a MINLP problem

Cited by 81 publications

References 14 publications

Mixed Integer Nonlinear Optimization for ESP Lifted Oil Field and Improved Operation through Production Valve Choking

Mixed Integer Nonlinear Optimization for ESP Lifted Oil Field and Improved Operation through Production Valve Choking

Stochastic mixed integer nonlinear programming using rank filter and ordinal optimization

Optimal control strategies with nonlinear optimization for an Electric Submersible Pump lifted oil field

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