Parameters

Parameters are the fixed input values that define the characteristics of the energy system being modeled. They are defined in oM_ModelFormulation.py and are typically derived from the input data files. In the mathematical notation, they are written in uppercase letters.

General & Time

These parameters define the temporal structure and general constants for the model.

Symbol	Description	Unit	Pyomo Component
\(\ptimestepduration_{\periodindex,\scenarioindex,\timeindex}\)	Duration of each time step	h	pDuration
\(\pfactorone\)	A utility conversion factor (e.g., 1,000)		factor1
\(\pfactortwo\)	A utility conversion factor (e.g., 100)		factor2
\(\pdiscountrate_{\periodindex}\)	Annual discount rate for NPV calculations	%	pParDiscountRate

Market & Costs

These parameters define the economic environment, including energy prices, tariffs, and other costs.

Symbol	Description	Unit	Pyomo Component
\(\pelebuyprice_{\periodindex,\scenarioindex,\timeindex,\eletraderindex}\)	Cost of electricity purchased from a trader	€/MWh	pVarEnergyCost
\(\pelesellprice_{\periodindex,\scenarioindex,\timeindex,\eletraderindex}\)	Price of electricity sold to a trader	€/MWh	pVarEnergyPrice
\(\phydbuyprice_{\periodindex,\scenarioindex,\timeindex,\eletraderindex}\)	Cost of hydrogen purchased from a trader	€/kgH2	pHydrogenCost
\(\phydsellprice_{\periodindex,\scenarioindex,\timeindex,\eletraderindex}\)	Price of hydrogen sold to a trader	€/kgH2	pHydrogenPrice
\(\pelemarketbuyingratio_{\eletraderindex}\)	Ratio for electricity purchases		pEleRetBuyingRatio
\(\pelemarketsellingratio_{\eletraderindex}\)	Ratio for electricity sales		pEleRetSellingRatio
\(\pelemarketcertrevenue_{\eletraderindex}\)	Revenue from electricity certificates	€/kWh	pEleRetelcertifikat
\(\pelemarketpassthrough_{\eletraderindex}\)	Pass-through fee for electricity	€/kWh	pEleRetpaslag
\(\pelemarketmoms_{\eletraderindex}\)	Value-added tax (moms) for electricity		pEleRetmoms
\(\pelemarketnetfee_{\eletraderindex}\)	Network usage fee for electricity	€/kWh	pEleRetnetavgift
\(\pelemarkettariff_{\eletraderindex}\)	Capacity-based tariff	€/kW	pEleRetTariff
\(\pelemaxmarketbuy_{\traderindex}\)	Maximum electricity purchase from a trader	kWh	pEleMaxMarketBuy
\(\pelemaxmarketsell_{\traderindex}\)	Maximum electricity sale to a trader	kWh	pEleMaxMarketSell
\(\pfactortwo\)	A large number for big-M constraints		factor2
\(CF_g, CV_g\)	Fixed and variable costs of a generator	€/h, €/kWh	pGenConstantVarCost, pGenLinearVarCost
\(CSU_g, CSD_g\)	Startup and shutdown cost of a unit	€	pGenStartUpCost, pGenShutDownCost
\(CRU_h, CRD_h\)	Ramping cost for a hydrogen unit	€/kWh	pGenRampUpCost, pGenRampDownCost

Asset Performance & Limits

These parameters define the operational characteristics, capacities, and limitations of generation and storage assets.

Generation

Symbol	Description	Unit	Pyomo Component
\(\pelemaxproduction_{\periodindex,\scenarioindex,\timeindex,\genindex}\)	Maximum available electricity production	kWh	pMaxEleProduction
\(\peleminproduction_{\periodindex,\scenarioindex,\timeindex,\genindex}\)	Minimum stable electricity production	kWh	pMinEleProduction
\(\phydmaxproduction_{\periodindex,\scenarioindex,\timeindex,\genindex}\)	Maximum available hydrogen production	kgH2	pMaxHydProduction
\(\phydminproduction_{\periodindex,\scenarioindex,\timeindex,\genindex}\)	Minimum stable hydrogen production	kgH2	pMinHydProduction
\(\overline{EP}_{neg}\) / \(\underline{EP}_{neg}\)	Max/min electricity generation capacity	kWh	pMaxPower, pMinPower
\(\widehat{EP}_{neg}\)	Last market position update (Elec Gen)	kWh	pVarPositionGeneration
\(\overline{HP}_{nhg}\) / \(\underline{HP}_{nhg}\)	Max/min hydrogen generation capacity	kgH2	pMaxPower, pMinPower
\(\widehat{HP}_{nhg}\)	Last market position update (Hyd Gen)	kWh	pVarPositionGeneration
\(\overline{EC}^{comp}_{nhs}\)	Max elec consumption of a compressor	kWh	pGenMaxCompressorConsumption
\(\overline{EC}^{standby}_{nhz}\)	Max elec consumption of an electrolyzer at standby	kWh	pGenStandByPower
\(PF_{he}\)	Production function (Elec from H2)	kWh/kgH2	pGenProductionFunction
\(PF1_{ehk}\) / \(PF2_{ehk}\)	Piecewise production function (H2 from Elec)	kgH2/kWh	pGenProductionFunction, pGenProductionFunctionSlope

Ramping and Commitment

Symbol	Description	Unit	Pyomo Component
\(RU_t, RD_t\)	Max ramp-up/down rate of an electric unit	kW/h	pGenRampUp, pGenRampDown
\(\prampuprate\)	Ramp-up rate for assets	p.u./h	pGenRampUpRate
\(\prampdwrate\)	Ramp-down rate for assets	p.u./h	pGenRampDownRate
\(RC^{+}_{hz}, RC^{-}_{hz}\)	Max ramp-up/down rate of a hydrogen unit	kgH2/h	pGenRampUp, pGenRampDown
\(\puptime\)	Minimum up-time for a unit	h	pGenMinUpTime
\(\pdwtime\)	Minimum down-time for a unit	h	pGenMinDownTime
\(TU_t, TD_t\)	Minimum up-time and down-time	h	pGenUpTime, pGenDownTime

Storage

Symbol	Description	Unit	Pyomo Component
\(\overline{EC}_{neg}\) / \(\underline{EC}_{neg}\)	Max/min electricity charging rate	kWh	pMaxCharge, pMinCharge
\(\widehat{EC}_{neg}\)	Last market position update (Elec Consumption)	kWh	pVarPositionConsumption
\(\overline{HC}_{nhg}\) / \(\underline{HC}_{nhg}\)	Max/min hydrogen charging rate	kgH2	pMaxCharge, pMinCharge
\(\widehat{HC}_{nhg}\)	Last market position update (Hyd Consumption)	kgH2	pVarPositionConsumption
\(\overline{EI}_{neg}\) / \(\underline{EI}_{neg}\)	Max/min electricity state-of-charge	kWh	pMaxStorage, pMinStorage
\(\overline{HI}_{nhg}\) / \(\underline{HI}_{nhg}\)	Max/min hydrogen state-of-charge	kgH2	pMaxStorage, pMinStorage
\(\overline{EEO}_{neg}\) / \(\underline{EEO}_{neg}\)	Max/min electricity outflow	kW	pMaxOutflows, pMinOutflows
\(\overline{HEO}_{nhg}\) / \(\underline{HEO}_{nhg}\)	Max/min hydrogen outflow	kgH2	pMaxOutflows, pMinOutflows
\(\overline{EEI}_{neg}\) / \(\underline{EEI}_{neg}\)	Max/min electricity inflow	kW	pMaxInflows, pMinInflows
\(\overline{HEI}_{nhg}\) / \(\underline{HEI}_{nhg}\)	Max/min hydrogen inflow	kgH2	pMaxInflows, pMinInflows
\(EF_e\) / \(EF_h\)	Round-trip efficiency (Elec/H2)	p.u.	pGenEfficiency
\(\pelestoragecycle\)	Storage cycle time for electricity	h	pEleStorageCycle
\(\phydstoragecycle\)	Storage cycle time for hydrogen	h	pHydStorageCycle
\(\pelestorageoutflowcycle\)	Outflow cycle time for electricity storage	h	pEleStorageOutflowCycle
\(\phydstorageoutflowcycle\)	Outflow cycle time for hydrogen storage	h	pHydStorageOutflowCycle
\(\peleconscompress\)	Electricity consumption of a compressor	kWh	pEleConsCompress

Ancillary Services

Parameters related to grid support services.

Symbol	Description	Unit	Pyomo Component
\(URA^{SR}_{n}, DRA^{SR}_{n}\)	Up/down activation of Synchronous Reserve	p.u.	pOperatingReserveActivation_Up_SR, pOperatingReserveActivation_Down_SR
\(URA^{TR}_{n}, DRA^{TR}_{n}\)	Up/down activation of Tertiary Reserve	p.u.	pOperatingReserveActivation_Up_TR, pOperatingReserveActivation_Down_TR

Network

Parameters related to network infrastructure.

Symbol	Description	Unit	Pyomo Component
\(\pelemaxrealpower_{\periodindex,\scenarioindex,\timeindex,\busindexa,\busindexb,\circuitindex}\) / \(\peleminrealpower_{\periodindex,\scenarioindex,\timeindex,\busindexa,\busindexb,\circuitindex}\)	Max/min electricity network flow	kWh	pEleNetTTC, pEleNetTTCBck
\(\phydmaxflow_{\periodindex,\scenarioindex,\timeindex,\busindexa,\busindexb,\circuitindex}\) / \(\phydminflow_{\periodindex,\scenarioindex,\timeindex,\busindexa,\busindexb,\circuitindex}\)	Max/min hydrogen network flow	kWh	pHydNetTTC, pHydNetTTCBck
\(\pelereactanceline_{\busindexa,\busindexb,\circuitindex}\)	Reactance of an electricity line	p.u.	pEleNetReactance

Demand

Parameters related to energy demand.

Symbol	Description	Unit	Pyomo Component
\(\peledemflexible\)	Flag for flexible electricity demand		pEleDemFlexible
\(\peledemshiftedsteps\)	Number of steps for demand shifting		pEleDemShiftedSteps

EV Specific

Parameters specific to Electric Vehicle (EV) modeling.

Symbol	Description	Unit	Pyomo Component
\(\pvarfixedavailability\)	Availability of EV for grid services		pVarFixedAvailability
\(\peleminstoragestart\)	Minimum EV battery state-of-charge at trip start	kWh	pEleMinStorageStart
\(\peleminstorageend\)	Minimum EV battery state-of-charge at trip end	kWh	pEleMinStorageEnd