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Modeling and Optimization of Integrated Energy System Based on Energy Circuit Theory
Author(s) -
Li Ming,
Wang Zhe
Publication year - 2021
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.23349
Subject(s) - karush–kuhn–tucker conditions , solver , linearization , mathematical optimization , computer science , energy flow , integer programming , energy (signal processing) , equivalent circuit , engineering , voltage , mathematics , nonlinear system , electrical engineering , statistics , physics , quantum mechanics
Significant benefits in economics and environment could be attained with the growing development of integrated energy system (IES). Energy hub (EH) has a large potential for realization the objective of implementing complementarity coordination and optimization of IES. EH is a device with multiple inputs and outputs, which plays a role of connecting hub in energy optimization, but it is difficult to model automatically. Aiming at this problem, we propose a standardized matrix modeling method based on energy circuit theory. In this study, EH is first simplified into energy circuit diagram. Then, signal flow graph describing the topology of the energy circuit diagram is developed. On this basis, the energy flow equations are established based on Kirchhoff's extensive properties law. Based on the proposed EH framework, a bi‐level programming model is constructed for maximizing the profits and minimizing costs. This model was converted into a mixed‐integer linear program (MILP) through jointly employing the Karush–Kuhn–Tucker (KKT) optimality condition, the relaxation technology and the linearization method. Then the MILP is solved with the well‐developed CPLEX commercial solver. Finally, case studies demonstrate the effectiveness of the proposed model and method. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.