Convex optimization of virtual storage system scheduling in market environment

Peng Hou, Junjie Hu*, Guangya Yang

*Corresponding author for this work

Research output: Contribution to journalLetterResearchpeer-review

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Abstract

Due to the popularization of distributed energy resources (DERs), the aggregated prosumer effect excels a general energy storage system characteristic. Virtual energy storage system (VESS) concept is proposed hereby that mimics an actual storage unit and incorporates the same charging (consumer) and discharging (producer) modes. It is possible to provide ancillary services via VESS by exploiting the flexibility and thus much research has been proposed on the optimization of the VESS scheduling. In general, the charging and discharging efficiencies of VESS are different and there can be only one status at a time slot. To achieve the optimal schedule while considering the constraints above, binary terms should be introduced into the optimization problem which end up with a nonconvex problem. In this paper, a complimentary mathematical proof is given for the convexification of this mixed integer linear programming (MILP) problem so that the linear programming (LP) method can be applied instead if the objective function is linear. The proposed proof is validated through a case study and the simulation results show the effectiveness of the proposed method.

Original languageEnglish
JournalJournal of Modern Power Systems and Clean Energy
Number of pages5
ISSN2196-5625
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Complimentary mathematical proof
  • Convexification
  • Mixed integer linear programming (MILP)
  • Virtual energy storage system (VESS)

Cite this

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title = "Convex optimization of virtual storage system scheduling in market environment",
abstract = "Due to the popularization of distributed energy resources (DERs), the aggregated prosumer effect excels a general energy storage system characteristic. Virtual energy storage system (VESS) concept is proposed hereby that mimics an actual storage unit and incorporates the same charging (consumer) and discharging (producer) modes. It is possible to provide ancillary services via VESS by exploiting the flexibility and thus much research has been proposed on the optimization of the VESS scheduling. In general, the charging and discharging efficiencies of VESS are different and there can be only one status at a time slot. To achieve the optimal schedule while considering the constraints above, binary terms should be introduced into the optimization problem which end up with a nonconvex problem. In this paper, a complimentary mathematical proof is given for the convexification of this mixed integer linear programming (MILP) problem so that the linear programming (LP) method can be applied instead if the objective function is linear. The proposed proof is validated through a case study and the simulation results show the effectiveness of the proposed method.",
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Convex optimization of virtual storage system scheduling in market environment. / Hou, Peng; Hu, Junjie; Yang, Guangya.

In: Journal of Modern Power Systems and Clean Energy, 01.01.2019.

Research output: Contribution to journalLetterResearchpeer-review

TY - JOUR

T1 - Convex optimization of virtual storage system scheduling in market environment

AU - Hou, Peng

AU - Hu, Junjie

AU - Yang, Guangya

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Due to the popularization of distributed energy resources (DERs), the aggregated prosumer effect excels a general energy storage system characteristic. Virtual energy storage system (VESS) concept is proposed hereby that mimics an actual storage unit and incorporates the same charging (consumer) and discharging (producer) modes. It is possible to provide ancillary services via VESS by exploiting the flexibility and thus much research has been proposed on the optimization of the VESS scheduling. In general, the charging and discharging efficiencies of VESS are different and there can be only one status at a time slot. To achieve the optimal schedule while considering the constraints above, binary terms should be introduced into the optimization problem which end up with a nonconvex problem. In this paper, a complimentary mathematical proof is given for the convexification of this mixed integer linear programming (MILP) problem so that the linear programming (LP) method can be applied instead if the objective function is linear. The proposed proof is validated through a case study and the simulation results show the effectiveness of the proposed method.

AB - Due to the popularization of distributed energy resources (DERs), the aggregated prosumer effect excels a general energy storage system characteristic. Virtual energy storage system (VESS) concept is proposed hereby that mimics an actual storage unit and incorporates the same charging (consumer) and discharging (producer) modes. It is possible to provide ancillary services via VESS by exploiting the flexibility and thus much research has been proposed on the optimization of the VESS scheduling. In general, the charging and discharging efficiencies of VESS are different and there can be only one status at a time slot. To achieve the optimal schedule while considering the constraints above, binary terms should be introduced into the optimization problem which end up with a nonconvex problem. In this paper, a complimentary mathematical proof is given for the convexification of this mixed integer linear programming (MILP) problem so that the linear programming (LP) method can be applied instead if the objective function is linear. The proposed proof is validated through a case study and the simulation results show the effectiveness of the proposed method.

KW - Complimentary mathematical proof

KW - Convexification

KW - Mixed integer linear programming (MILP)

KW - Virtual energy storage system (VESS)

U2 - 10.1007/s40565-019-0548-z

DO - 10.1007/s40565-019-0548-z

M3 - Letter

JO - Journal of Modern Power Systems and Clean Energy

JF - Journal of Modern Power Systems and Clean Energy

SN - 2196-5625

ER -