Multicarrier Energy System Management as Mixed Integer Linear Programming

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.

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Abbreviations

e, g, h, t, l, k :

Indices of electrical, gas, heating bus, time, linearization segments of piecewise method and circular constraint, respectively

ref:

Reference bus

φe, φg, φh, φt, φl, φk :

Sets of electrical, gas, heating bus, time, linearization segments of piecewise method and circular constraint, respectively

Cost:

Objective function value ($)

Cele, Cgas, Ctem :

Energy cost of electrical, natural gas and district heating networks ($)

Cpoolco, Ctb :

Energy cost in PoolCo and bilateral contracts models ($)

E ST :

Stored energy in the storage system (pu)

PGCHP,ele, PGCHP,gas, PGCHP,tem :

Electrical, gas and heating power of CHP (pu)

PGgas, PGtem, PGele :

Generation power in electrical, natural gas and district heating networks (pu)

PGpoolco, PGtb :

Purchase power of PoolCo and bilateral contracts models (pu)

PGRES :

Generation power of RES (pu)

PLgas, PLtem, PLele :

Power flow of gas, heating and electrical network lines (pu)

PST,ch, PST,dch :

Charging and discharging power of storage system (pu)

QGele, QLele :

Generation reactive power, reactive flow from transmission lines (pu)

T :

Temperature (pu)

V, θ, ΔV :

Voltage magnitude (pu), voltage angle (rad) and voltage deviation (pu)

π, Δπ :

Gas pressure and pressure deviation (pu)

ALele, ALgas, ALtem :

Bus and line incidence matrix for electrical, natural gas and district heating networks without unit

\(c,\dot{m}\) :

Specific heat capacity of water, mass flow rate of water through pipeline (pu)

Emax, Emin :

Maximum and minimum stored energy in the storage system (pu)

g, b :

Conductance and susceptance of a line (pu)

PDele, PDgas, PDtem :

Consumption power in the electrical, natural gas and district heating networks (pu)

PGCHP,emax, PGCHP,gmax, PGCHP,hmax :

Maximum capacity of CHP in electrical, gas and heating parts (pu)

PGgas,max, PLgas,max :

Maximum capacity of gas line and generation (pu)

PGPV, PGW :

Generation active power of photovoltaic and wind systems (pu)

PGtem,max, PLtem,max :

Maximum capacity of heating line and generation (pu)

Pmax, Pmin :

Maximum and minimum purchase power of bilateral contracts models (pu)

P ST,max :

Maximum charge/discharge rate of storage system (pu)

QDele :

Reactive load (pu)

SLmax, SGmax :

Maximum capacity of electrical line and generation (pu)

Tmax, Tmin :

Maximum and minimum value of temperature (pu)

Vmax, Vmin :

Maximum and minimum value of voltage (pu)

λtb, λpoolco, λgas, λtem :

Energy price of bilateral contracts and PoolCo models, gas and heating network ($/MWh)

κ :

Pipeline constant (pu)

ηch, ηdch :

Charging and discharging efficiency of storage system

η CHP :

Efficiency of CHP

πmax, πmin :

Maximum and minimum value of pressure (pu)

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Correspondence to B. Bahmani-Firouzi.

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Afrashi, K., Bahmani-Firouzi, B. & Nafar, M. Multicarrier Energy System Management as Mixed Integer Linear Programming. Iran J Sci Technol Trans Electr Eng (2020). https://doi.org/10.1007/s40998-020-00373-x

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Keywords

  • Multicarrier energy system
  • Electrical network
  • Natural gas network
  • District heating network