Abstract
Today’s power market has been influenced by the introduction of smart microgrids (MGs) to the electricity infrastructure. Furthermore, the operation of the power system has already been affected by exploiting the demand response (DR) programs and make more use of the energy storage. Therefore, the study of the simultaneous presence of the power market models, DR programs, and energy storage in networked smart microgrids is crucial. In this paper, a novel multi-stage optimization model is presented to indicate the effects of DR programs on the market-based scheduling of the smart networked microgrids’ performance. In the first stage, optimal energy management has been carried out, and each microgrid system operator in the environmental smart grid proposes its power prices and power quantities to participate in the power market. Then, in the second stage, the market-based energy model is implemented, and the independent system operator (ISO) clears the market. The market-clearing stage is led to specify the prices and the amounts of energy that each microgrid can exchange. Also, in the last stage, energy management has been implemented based on the output parameters, which are submitted from the second stage. The objective function is defined as the mixed-integer nonlinear programming (MINLP) model, which has been implemented in the GAMS software and using BARON as the solver. The results generally show that the bidding strategy of the MGs can effectively control the final operation cost and the emission. However, enjoying these benefits requires accurate pricing of MGs. It also reveals that the DR programs are useful in emission mitigation programs. As well, DR programs are promising for the market in which the bidding strategy of an MG is not successful.
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Abbreviations
- \(t\) :
-
Time (h)
- \(A\) :
-
WT blade area (m2)
- \({C}_{M-\mathrm{CHP}}\) :
-
CHP maintenance cost ($)
- \({C}_{\mathrm{OP}-\mathrm{CHP}}\) :
-
CHP operation cost ($/kWh)
- \({C}_{\mathrm{OP}-\mathrm{WT}}\) :
-
WT operation cost ($)
- \({C}_{M-\mathrm{WT}}\) :
-
WT constant cost ($)
- \({C}_{\mathrm{OP}-\mathrm{PV}}\) :
-
PV operation cost ($)
- \({C}_{M-\mathrm{PV}}\) :
-
PV constant cost ($)
- \({C}_{M-\mathrm{MT}}\) :
-
MT maintenance cost ($)
- \({C}_{\mathrm{OP}-\mathrm{MT}}\) :
-
MT operation cost ($/kWh)
- \({C}_{M-\mathrm{Boiler}}\) :
-
Boiler maintenance cost ($)
- \({C}_{\mathrm{OP}-\mathrm{Boiler}}\) :
-
Boiler operation cost ($/kWh)
- \({C}_{M-\mathrm{ES}}\) :
-
ES maintenance cost ($)
- \({C}_{\mathrm{OP}-\mathrm{ES}}\) :
-
ES operation cost ($/kWh)
- \({C}_{M-\mathrm{TS}}\) :
-
TS maintenance cost ($)
- \({C}_{\mathrm{OP}-\mathrm{TS}}\) :
-
TS operation cost ($/kWh)
- C load (t):
-
Critical load demand at time t (kW)
- C fuel :
-
Fuel cost ($)
- C Buy :
-
Buying energy cost ($)
- c Sell :
-
Selling energy cost ($)
- c Shed :
-
Load shedding cost ($)
- EFCHP :
-
CHP emission factor (kg/kWh)
- EFMT :
-
MT emission factor (kg/kWh)
- EFBoiler :
-
Boiler emission factor (kg/kWh)
- EFMG :
-
MG emission factor (kg/kWh)
- ELload (t):
-
Electrical load demand at time t (kW)
- \( E_{S}^{{{\text{max}}}} \) :
-
ES maximum energy (kWh)
- \( E_{S}^{{{\text{min}}}} \) :
-
ES minimum energy (kWh)
- \( E_{S} \left( 0 \right) \) :
-
ES Initial state energy (kWh)
- \( G_{{T_{{{\text{STC}}}} }} \) :
-
Solar radiation on module surface in STC (kW/m2)
- \( G_{{T_{{{\text{NOCT}}}} }} \) :
-
Solar radiation on module surface in NOCT (kW/m2)
- \( G_{T} \left( t \right) \) :
-
Solar radiation on module surface (kW/m2)
- \( N_{{{\text{PVs}}}} \) :
-
Number of series cells in PV module
- \( N_{{{\text{PVp}}}} \) :
-
Number of parallel cells in PV module
- \( n_{{{\text{DR}}}} \) :
-
Penetration rate of demand response
- m :
-
Percentage of demand response
- \( P_{{{\text{line}}}} \) :
-
Limitation of power in line transfer (kW)
- \( P_{{{\text{PV,STC}}}} \) :
-
PV maximum power in STC (kW)
- \(P_{{{\text{CHP}}}}^{{{\text{max}}}} \) :
-
CHP maximum power (kW)
- \( P_{{{\text{MT}}}}^{{{\text{max}}}} \) :
-
MT maximum power (kW)
- \( P_{{{\text{boiler}}}}^{{{\text{max}}}} \) :
-
Boiler maximum power (kW)
- \( P_{{{\text{WT}}}}^{{{\text{max}}}} \) :
-
WT maximum power (kW)
- \( P_{{{\text{PV}}}}^{{{\text{max}}}} \) :
-
PV maximum power (kW)
- \( P_{{E - {\text{dech}}}}^{{{\text{max}}}} \) :
-
Maximum discharge rate of ES (kW)
- \( P_{{E - {\text{ch}}}}^{{{\text{max}}}} \) :
-
Maximum charge rate of ES (kW)
- \( P_{{T - {\text{dech}}}}^{{{\text{max}}}} \) :
-
Maximum discharge rate of TS (kW)
- \( P_{{T - {\text{ch}}}}^{{{\text{max}}}} \) :
-
Maximum charge rate of TS (kW)
- \( T_{j} \left( t \right) \) :
-
PV cell temperature at time t (°C)
- \( T_{{j{\text{STC}}}} \) :
-
PV reference temperature (°C)
- \( T_{{{\text{amp}}}} \) :
-
PV ambient temperature (°C)
- \( T_{{{\text{load}}}} \left( t \right) \) :
-
Thermal load demand at time t (kW)
- \( {\text{TE}}_{S}^{{{\text{max}}}} \) :
-
TS maximum energy (kWh)
- \( {\text{TE}}_{S} ^{{{\text{min}}}} \) :
-
TS minimum energy (kWh)
- \( {\text{TF}}_{{{\text{CHP}}}} \) :
-
Proportion of CHP heat to CHP power
- \( V^{{{\text{nom}}}} \) :
-
Normal wind speed (m/s)
- \( V_{t} \) :
-
Wind speed at time t (m/s)
- \(V^{{{\text{cutin}}}} \) :
-
Minimum wind speed (m/s)
- \( V^{{{\text{cutout}}}} \) :
-
Maximum wind speed (m/s)
- \( \eta _{{{\text{CHP}}}} \) :
-
Electrical efficiency of CHP
- \({\eta }_{\mathrm{Boiler}}\) :
-
Electrical efficiency of boiler
- \({\eta }_{\mathrm{MT}}\) :
-
Electrical efficiency of MT
- \({\eta }^{W}\) :
-
Electrical efficiency of WT
- \( \eta _{C}^{E} \) :
-
Charge efficiency of ES
- \( \eta _{D}^{E} \) :
-
Discharge efficiency of ES
- \( \eta _{C}^{T} \) :
-
Charge efficiency of TS
- \( \eta _{D}^{T} \) :
-
Discharge efficiency of TS
- \( \rho \) :
-
Air density (kg/m3)
- \( \rho _{L} \) :
-
DR cost ($/kW)
- \( \gamma \) :
-
Power-temperature coefficient
- \( \theta \) :
-
Time interval
- \( C_{{{\text{CHP}}}} \left( t \right) \) :
-
Total CHP cost at time t ($)
- \( C_{{{\text{PV}}}} \left( t \right) \) :
-
Total PV cost at time t ($)
- \( C_{{{\text{Boiler}}}} \left( t \right) \) :
-
Total boiler cost at time t ($)
- \( C_{{{\text{MT}}}} \left( t \right) \) :
-
Total MT cost at time t ($)
- \( C_{{{\text{Wind}}}} \left( t \right) \) :
-
Total WT cost at time t ($)
- \( C_{{{\text{ES}}}} \left( t \right) \) :
-
Total ES cost at time t ($)
- \( C_{{{\text{TS}}}} \left( t \right) \) :
-
Total TS cost at time t ($)
- \( C_{{{\text{DR}}}} \left( t \right) \) :
-
Total DR cost at time t ($)
- \( C_{{{\text{Shed}}}} \left( t \right) \) :
-
Total load shedding cost at time t ($)
- \( C_{{{\text{Buy}}}} \left( t \right) \) :
-
Total buying cost at time t ($)
- \( C_{{{\text{Sell}}}} \left( t \right) \) :
-
Total selling cost at time t ($)
- \( D_{{{\text{DR}}}} \left( t \right) \) :
-
Amount of demand response at time t (kW)
- \( E_{S} \left( t \right) \) :
-
ES energy at time t (kWh)
- \( ~{\text{EL}}_{{{\text{Shed}}}} \left( t \right) \) :
-
Electrical load shedding at time t (kW)
- \( ~{\text{EM}}_{{{\text{CHP}}}} \left( t \right) \) :
-
Total CHP emission at time t (kg)
- \( {\text{EM}}_{{{\text{MT}}}} \left( t \right) \) :
-
Total MT emission at time t (kg)
- \( {\text{EM}}_{{{\text{Boiler}}}} \left( t \right) \) :
-
Total boiler emission at time t (kg)
- \( {\text{EM}}_{{{\text{MG}}}} \left( t \right) \) :
-
Total MG emission at time t (kg)
- \( P_{{{\text{MG}}}} \left( t \right) \) :
-
Total power of main grid at time t (kW)
- \( P_{{{\text{CHP}}}} \left( t \right) \) :
-
Total generation power of CHP at time t (kW)
- \( P_{{{\text{PV}}}} \left( t \right) \) :
-
Total generation power of PV at time t (kW)
- \( P_{{{\text{Boiler}}}} \left( t \right) \) :
-
Total generation power of boiler at time t (kW)
- \( P_{{{\text{MT}}}} \left( t \right) \) :
-
Total generation power of MT at time t (kW)
- \( P_{{{\text{Wind}}}} \left( t \right) \) :
-
Total generation power of WT at time t (kW)
- \( P_{{{\text{ES}}}} \left( t \right) \) :
-
Total ES power at time t (kW)
- \( P_{{{\text{TS}}}} \left( t \right) \) :
-
Total TS power at time t (kW)
- \( P_{{{\text{Buy}}}} \left( t \right) \) :
-
Total buying power at time t (kW)
- \( P_{{{\text{Sell}}}} \left( t \right) \) :
-
Total selling power at time t (kW)
- \( TE_{S} \left( t \right) \) :
-
TS energy at time t (kWh
- \( u\left( t \right) \) :
-
Binary variable for power exchange
- CHP:
-
Combined heat and power
- CO2 :
-
Carbon dioxide
- DES:
-
Distributed energy storage
- DG:
-
Distributed generator
- DR:
-
Demand response
- ESS:
-
Energy storage system
- ES:
-
Electrical storage
- ISO:
-
Independent system operator
- MC:
-
Market clearing
- MT:
-
Microturbine
- MG:
-
Main grid
- NOCT:
-
Normal operation cell temperature
- PV:
-
Photovoltaic
- STC:
-
Standard test conditions
- TS:
-
Thermal storage
- WT:
-
Wind turbine
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Namjoo, A.R., Dashti, R., Dorahaki, S. et al. A novel enviro-economic three-stage market-based energy management considering energy storage systems and demand response programs for networked smart microgrids. Electr Eng 104, 2893–2910 (2022). https://doi.org/10.1007/s00202-022-01510-x
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DOI: https://doi.org/10.1007/s00202-022-01510-x