Research Article

Potential Revenue from Reserve Market Participation in Wind Power- and Solar Power-Dominated Electricity Grids: The Near-Term, Mid-Term, and Long-Term

Table 2

Sets, variables, and parameters used in the mathematical description of the model.

Sets
Electricity transmission technologies (OHAC and HVDC)
Subregions
Time-step, {1,..,8784}
Technology
Variable renewable technologies (wind, solar, and run-of-river)
Technologies able to provide inertia (wind power and synchronous generators)
Technologies able to provide frequency reserves
Energy storage technologies (Li-ion batteries and hydrogen storage)
Energy storage charging technologies
Energy storage discharging technologies
Electricity-generating technologies
Frequency reserve interval {1,..,6}
matrix connecting energy storage units with their respective charging capacity technologies (e.g., electrolyzer and inverter) and discharge capacities

Variables
Electricity net export from region to region during time-step GWh/h
Investment in technology in region GW
Generation, or storage level, for technology at time-step in region GWh/h
Charging of storage in region at time-step GWh/h
Discharging of storage in region at time-step GWh/h
Available inertial powerGW
Available frequency reservesGW

Parameters
Charging and discharging efficiency of technology -
Equals 1 for frequency reserve intervals 3–6, for which VRE variations cause a reserve demand-
Investment cost for technology k€/GW
Running cost (including fuel, CO2, and variable O&M costs) for technology k€/GWh
Fixed yearly O&M cost for technology
Start-up cost for technology k€/GW
Part-load cost for technology k€/GW
Already existing capacity of technology in region GW(h)
Already existing transmission capacity of technology between regions and GW
Frequency reserve demand due to intrahourly load variationsGW
Frequency reserve demand to cover for worst single fault ()GW
Duration of inertia power response (10 s)s
Inertial power response from connected generators (see Table 4)-
Ability of technology to increase output until reserve interval -
Ability of technology to start up until reserve interval -
Duration of reserve window s
Storage (dis)charge rate as a fraction of storage per hour[-]
Hourly profile for VRE (equal to 1 for dispatchable technologies)[-]

OHAC: over-head, alternating current; HVDC: high-voltage, direct current; O&M: operation and maintenance.