Multicarrier Energy System Management as Mixed Integer Linear Programming
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RESEARCH PAPER
Multicarrier Energy System Management as Mixed Integer Linear Programming K. Afrashi1 • B. Bahmani-Firouzi1
•
M. Nafar1
Received: 12 October 2019 / Accepted: 18 January 2020 Shiraz University 2020
Abstract This paper presents the problem model of multicarrier energy system management. The proposed problem includes three types of energy that is as electrical, natural and heating. Electrical and gas energies are as hub input, and hub output is as electrical and heating. The electricity energy provides using (1) renewable energy sources (RESs), electrical energy storage system, combined heat and power (CHP) system that are managed by hub operator and are not to play at market and (2) electricity market with PoolCo and bilateral contracts models. Therefore, the proposed problem is as optimization problem that its objective function is minimizing energy cost of hub. The constraints are electrical, natural and district heating networks power flow, RES, storage system, CHP and market constraints, and limitation of all networks indexes. This problem is modeled as mixed integer nonlinear programming. But, this paper uses the equivalent mixed integer linear programming model for accessing to optimal solution with low calculation time and error. Finally, this problem applied to standard test network with GAMS software, and thus, the capability of proposed problem investigates. Keywords Multicarrier energy system Electrical network Natural gas network District heating network List of Symbols
Cpoolco, Ctb EST
Indices and Sets e, g, h, t, l, k
ref ue, ug, uh, ut, ul, uk
Variables Cost Cele, Cgas, Ctem
Indices of electrical, gas, heating bus, time, linearization segments of piecewise method and circular constraint, respectively Reference bus Sets of electrical, gas, heating bus, time, linearization segments of piecewise method and circular constraint, respectively
PGCHP,ele, PGCHP,gas, PGCHP,tem PGgas, PGtem, PGele
PGpoolco, PGtb PGRES PLgas, PLtem, PLele PST,ch, PST,dch
Objective function value ($) Energy cost of electrical, natural gas and district heating networks ($)
QGele, QLele
T V, h, DV & B. Bahmani-Firouzi [email protected] 1
p, Dp Department of Electrical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Energy cost in PoolCo and bilateral contracts models ($) Stored energy in the storage system (pu) Electrical, gas and heating power of CHP (pu) Generation power in electrical, natural gas and district heating networks (pu) Purchase power of PoolCo and bilateral contracts models (pu) Generation power of RES (pu) Power flow of gas, heating and electrical network lines (pu) Charging and discharging power of storage system (pu) Generation reactive power, reactive flow from transmission lines (pu) Temperature (pu) Voltage magnitude (pu), voltage angle (rad) and voltage deviation (pu) Gas pressure and pressure deviation (pu)
123
Iranian Journal of Science and Technology, Transactions of Electrical Engineering
Constants ALele, ALgas, ALtem
c; m_
Emax, Emin
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