Industry (37_industry)

Description

This module models final energy use in the industry sector and its subsectors, as well as the emissions generated by them.

Interfaces

Interface plot missing!

Input

Output

Realizations

(A) fixed_shares

The region-specific shares of final energy use in industry subsectors (cement, chemicals, and steel production, as well as all other industry production) are kept constant on the 2005 level. This potentially overestimates the potential for electrification and thus underestimates the emissions, especially from coal in the steel and cement sectors.

Subsector-specific MAC curves for CCS are applied to emissions calculated from energy use and emission factors.

Industry Final Energy Balance

\[\begin{multline*} \sum_{\left(entySe,te\right)\$se2fe(entySe,entyFe,te)}\left( vm\_demFeSector\_afterTax(ttot,regi,entySe,entyFe,"indst",emiMkt) \right) = \sum_{in\$\left(fe2ppfEn(entyFe,in) and ppfen\_industry\_dyn37(in)\right)}\left( \left( vm\_cesIO(ttot,regi,in) + pm\_cesdata(ttot,regi,in,"offset\_quantity") \right) \cdot \sum_{secInd37\$secInd37\_emiMkt(secInd37,emiMkt)} p37\_shIndFE(regi,in,secInd37) \right) \end{multline*}\]

Baseline (emitted and captured) emissions by final energy carrier and industry subsector are calculated from final energy use in industry, the subsectors’ shares in that final energy carriers use, and the emission factor the final energy carrier.

\[\begin{multline*} vm\_emiIndBase(ttot,regi,entyFe,secInd37) = \sum_{\left(fe2ppfEn(entyFe,in),ces\_industry\_dyn37("enhi",in)\right)\$entyFeCC37(entyFe)}\left( \left( vm\_cesIO(ttot,regi,in) + pm\_cesdata(ttot,regi,in,"offset\_quantity") \right) \cdot p37\_shIndFE(regi,in,secInd37) \cdot \sum_{\left(entySe,te\right)\$\left(se2fe(entySe,entyFe,te) and entySeFos(entySe)\right)} pm\_emifac(ttot,regi,entySe,entyFe,te,"co2") \right) \end{multline*}\]

The maximum abatable emissions of a given type (industry subsector, fuel or process) are calculated from the baseline emissions and the possible abatement level (depending on the carbon price of the previous iteration).

\[\begin{multline*} v37\_emiIndCCSmax(ttot,regi,emiInd37) = \sum_{emiMac2mac(emiInd37,macInd37)}\left( \left( \sum_{secInd37\_2\_emiInd37(secInd37,emiInd37),entyFe}\left( vm\_emiIndBase(ttot,regi,entyFe,secInd37) \right)\$\left( NOT sameas(emiInd37,"co2cement\_process") \right) + \left( vm\_emiIndBase(ttot,regi,"co2cement\_process","cement") \right)\$ sameas(emiInd37,"co2cement\_process") \right) \cdot pm\_macSwitch(macInd37) \cdot pm\_macAbatLev(ttot,regi,macInd37) \right) \end{multline*}\]

Industry CCS is limited to below the maximum abatable emissions.

\[\begin{multline*} vm\_emiIndCCS(ttot,regi,emiInd37) \leq v37\_emiIndCCSmax(ttot,regi,emiInd37) \end{multline*}\]

The CCS capture rates of cement fuel and process emissions are identical, as they are captured in the same installation.

\[\begin{multline*} vm\_emiIndCCS(ttot,regi,"co2cement") \cdot v37\_emiIndCCSmax(ttot,regi,"co2cement\_process") = vm\_emiIndCCS(ttot,regi,"co2cement\_process") \cdot v37\_emiIndCCSmax(ttot,regi,"co2cement") \end{multline*}\]

Industry CCS costs (by subsector) are equal to the integral below the MAC cost curve. For the calculation, consider this figure: To make the calculations involving MAC curves leaner, they are discretised into 5 $/tC steps (parameter sm_dmac) and transformed into step-wise curves. The parameter pm_macStep holds the current step on the MAC curve the model is on (given the CO₂ price of the last iteration), and pm_macAbat holds the abatement level (as a fraction) on that step. The emission abatement equals the area under the MAC curve (turqoise area in the figure). To calculate it, pm_macStep is multiplied by pm_macAbat (the horizontal and vertical lines enclosing the coloured rectangle in the

\[\begin{multline*} vm\_IndCCSCost(ttot,regi,emiInd37) = 1e-3 \cdot pm\_macSwitch(emiInd37) \cdot \left( \sum_{enty,secInd37\_2\_emiInd37(secInd37,emiInd37)}\left( vm\_emiIndBase(ttot,regi,enty,secInd37) \right)\$\left( NOT sameas(emiInd37,"co2cement\_process") \right) + \left( vm\_emiIndBase(ttot,regi,"co2cement\_process","cement") \right)\$ sameas(emiInd37,"co2cement\_process") \right) \cdot sm\_dmac \cdot \sum_{emiMac2mac(emiInd37,enty)}\left( \left( pm\_macStep(ttot,regi,emiInd37) \cdot \sum_{steps\$\left( ord(steps) eq pm\_macStep(ttot,regi,emiInd37) \right)}\left( pm\_macAbat(ttot,regi,enty,steps) \right) \right) - \sum_{steps\$\left( ord(steps) le pm\_macStep(ttot,regi,emiInd37) \right)}\left( pm\_macAbat(ttot,regi,enty,steps) \right) \right) \end{multline*}\]

Calculate sector-specific additional t&d cost (here only cost of hydrogen t&d at low hydrogen penetration levels when grid is not yet developed)

\[\begin{multline*} vm\_costAddTeInv(t,regi,te,"indst") = v37\_costAddTeInvH2(t,regi,te) \end{multline*}\]

Additional hydrogen phase-in cost at low H2 penetration levels

\[\begin{multline*} v37\_costAddTeInvH2(t,regi,"tdh2s") = \left(\frac{1 }{ \left(1 + \left(3 ^{ v37\_costExponent(t,regi)}\right)\right)}\right) \cdot \left( s37\_costAddH2Inv \cdot \frac{ sm\_TWa\_2\_kWh }{ sm\_trillion\_2\_non } \cdot \sum_{emiMkt} vm\_demFeSector\_afterTax(t,regi,"seh2","feh2s","indst",emiMkt) \right) + \left(v37\_expSlack(t,regi) \cdot 1e-8\right) \end{multline*}\]

Logistic function exponent for additional hydrogen low penetration cost equation

\[\begin{multline*} v37\_costExponent(t,regi) = \left( \left(\frac{10}{\left(s37\_costDecayEnd-s37\_costDecayStart\right)}\right) \cdot \left( \left(v37\_H2share(t,regi)+1e-7\right) - \left(\frac{\left(s37\_costDecayEnd+s37\_costDecayStart\right)}{2}\right) \right) \right) - v37\_expSlack(t,regi) \end{multline*}\]

Hydrogen fe share in industry gases use (natural gas + hydrogen)

\[\begin{multline*} v37\_H2share(t,regi) \cdot \sum_{emiMkt}\left( \sum_{se2fe(entySe,entyFe,te)\$\left(SAMEAS(entyFe,"feh2s") OR SAMEAS(entyFe,"fegas")\right)}\left( vm\_demFeSector\_afterTax(t,regi,entySe,entyFe,"indst",emiMkt)\right)\right) = \sum_{emiMkt}\left( \sum\left(se2fe(entySe,entyFe,te)\$SAMEAS(entyFe,"feh2s"), vm\_demFeSector\_afterTax(t,regi,entySe,entyFe,"indst",emiMkt)\right)\right) \end{multline*}\]

CES markup cost to represent sector-specific demand-side transformation cost in industry

\[\begin{multline*} vm\_costCESMkup(t,regi,in) = p37\_CESMkup(t,regi,in) \cdot \left(vm\_cesIO(t,regi,in) + pm\_cesdata(t,regi,in,"offset\_quantity")\right) \end{multline*}\]

Limitations There are no known limitations.

(B) subsectors

subsectors models industry subsectors explicitly with individual models for cement, chemicals, steel, and otherInd production.

In the original formulation, each of the subsectors is modeled with its own CES nest. Extensive documentation for this CES-based version can be found in the preprint https://gmd.copernicus.org/preprints/gmd-2023-153/

Apart from that, there is a process-based subsector model implementation, which is currently implemented for primary and secondary steel. For this subsector, the switch cm_subsec_model_steel allows to switch between both implementations. Extending this process-based model to other subsectors is planned.

The process-based implementation removes the CES tree below the ue_ (subsector output) level. It introduces technologies as in the ESM/core, however with some differences.

Characteristics of these technologies are: - Vintage tracking, CAPEX & OPEX are implemented via the core equations q_cap, q_costInv and q_costOM; techno-economic data is input via generisdata_tech.prn - Specific FE demands (arbitrary number of inputs) are used instead of one efficiency eta - For historically exisitng tech, specific energy demand follows exogenous convergence from historical values (via pm_fedemand) to the best available technology (BAT) - For “new” tech, temporally constant BAT values are assumed for energy efficiency - Technologies have specific material demands. Materials can be model-external (e.g. iron ore) or outputs of other processes (e.g. DRI); This allows to have process routes consiting of several production steps. Their production volume is linked via these input and output materials. For example, the bf tech produces as much pigiron as the bof needs as input - Each technology has one output material (may be extended to several); Specific tech inputs are normalized with this output quantity; i.e. idr specific demands are per Gt of DRI. - Technologies can have several operation modes with different material and FE demands; This allows, for example, to switch from ng-based idr to h2-based with now additional capacity and CAPEX - Emissions are accounted via FE demand and pm_emifac, which happens outside of the industry module and is independent of its implementation. - Currently, production can be lower than capacity * capFac (arbitrary early retirement) - Currently, there is no learning and no regionalized costs for industry tech - CCS: the process-based implementation has a different CCS implementation. Instead of a MAC curve, point-source carbon capture (CC) is an additional tech. There is an own CC retrofit tech for each applicable baseline tech, which can be placed “on top of it”; These remove a part of the local emissions according to their capture rate.

Industry final energy balance

\[\begin{multline*} \sum_{se2fe(entySe,entyFe,te)}\left( vm\_demFeSector\_afterTax(t,regi,entySe,entyFe,"indst",emiMkt) \right) = \sum_{fe2ppfEn\left(entyFe,ppfen\_industry\_dyn37(in)\right)}\left( \sum_{secInd37\_emiMkt(secInd37,emiMkt),secInd37\_2\_pf(secInd37,in)}\left( \left( vm\_cesIO(t,regi,in) + pm\_cesdata(t,regi,in,"offset\_quantity") \right)\$\left(NOT secInd37Prc(secInd37)\right) \right) \right) + \sum_{secInd37\_emiMkt(secInd37Prc,emiMkt), secInd37\_tePrc(secInd37Prc,tePrc), tePrc2opmoPrc(tePrc,opmoPrc)}\left( pm\_specFeDem(t,regi,entyFe,tePrc,opmoPrc) \cdot vm\_outflowPrc(t,regi,tePrc,opmoPrc) \right) \end{multline*}\]

Thermodynamic limits on subsector energy demand

\[\begin{multline*} \sum_{ces\_eff\_target\_dyn37(out,in)} vm\_cesIO(t,regi,in) \geq vm\_cesIO(t,regi,out) \cdot p37\_energy\_limit\_slope(t,regi,out) \end{multline*}\]

Limit the share of secondary steel to historic values, fading to 90 % in 2050

\[\begin{multline*} vm\_cesIO(t,regi,"ue\_steel\_secondary") \leq \left( vm\_cesIO(t,regi,"ue\_steel\_primary") + vm\_cesIO(t,regi,"ue\_steel\_secondary") \right) \cdot p37\_steel\_secondary\_max\_share(t,regi) \end{multline*}\]

Compute gross local industry emissions before CCS by multiplying sub-sector energy use with fuel-specific emission factors. (Local means from a hypothetical purely fossil energy mix, as that is what can be captured); vm_emiIndBase itself is not used for emission accounting, just as a CCS baseline.

\[\begin{multline*} vm\_emiIndBase(t,regi,enty,secInd37) = \sum_{secInd37\_2\_pf\left(secInd37,ppfen\_industry\_dyn37(in)\right),fe2ppfEn\left(entyFeCC37(enty),in\right)}\left( \left( vm\_cesIO(t,regi,in) - \left( p37\_chemicals\_feedstock\_share(t,regi) \cdot vm\_cesIO(t,regi,in) \right)\$ in\_chemicals\_feedstock\_37(in) \right) \cdot \sum_{se2fe(entySeFos,enty,te)}\left( pm\_emifac(t,regi,entySeFos,enty,te,"co2") \right) \right)\$\left( NOT secInd37Prc(secInd37) \right) + \left( s37\_clinker\_process\_CO2 \cdot p37\_clinker\_cement\_ratio(t,regi) \cdot \frac{ vm\_cesIO(t,regi,"ue\_cement") }{ sm\_c\_2\_co2 }\right)\$\left( sameas(enty,"co2cement\_process") \& sameas(secInd37,"cement") \right) + \sum_{secInd37\_tePrc(secInd37,tePrc),tePrc2opmoPrc(tePrc,opmoPrc)}\left( v37\_emiPrc(t,regi,enty,tePrc,opmoPrc) \right)\$ secInd37Prc(secInd37) \end{multline*}\]

Compute maximum possible CCS level in industry sub-sectors given the current CO2 price.

\[\begin{multline*} v37\_emiIndCCSmax(t,regi,emiInd37) = \sum_{emiMac2mac(emiInd37,macInd37)}\left( \left( \sum_{secInd37\_2\_emiInd37(secInd37,emiInd37),entyFeCC37}\left( vm\_emiIndBase(t,regi,entyFeCC37,secInd37) \right)\$\left( NOT sameas(emiInd37,"co2cement\_process") \right) + \left( vm\_emiIndBase(t,regi,"co2cement\_process","cement") \right)\$ sameas(emiInd37,"co2cement\_process") \right) \cdot pm\_macSwitch(macInd37) \cdot pm\_macAbatLev(t,regi,macInd37) \right) \end{multline*}\]

Limit industry CCS to maximum possible CCS level.

\[\begin{multline*} v37\_emiIndCCSmax(t,regi,emiInd37) = \sum_{emiMac2mac(emiInd37,macInd37)}\left( \left( \sum_{secInd37\_2\_emiInd37(secInd37,emiInd37),entyFeCC37}\left( vm\_emiIndBase(t,regi,entyFeCC37,secInd37) \right)\$\left( NOT sameas(emiInd37,"co2cement\_process") \right) + \left( vm\_emiIndBase(t,regi,"co2cement\_process","cement") \right)\$ sameas(emiInd37,"co2cement\_process") \right) \cdot pm\_macSwitch(macInd37) \cdot pm\_macAbatLev(t,regi,macInd37) \right) \end{multline*}\]

Limit industry CCS scale-up to sm_macChange (default: 5 % p.a.)

\[\begin{multline*} vm\_emiIndCCS(ttot,regi,emiInd37) \leq vm\_emiIndCCS(ttot-1,regi,emiInd37) + \sum_{secInd37\_2\_emiInd37(secInd37,emiInd37)}\left( v37\_emiIndCCSmax(ttot,regi,emiInd37) \cdot sm\_macChange \cdot pm\_ts(ttot) \right) \end{multline*}\]

Fix cement fuel and cement process emissions to the same abatement level.

\[\begin{multline*} vm\_emiIndCCS(t,regi,"co2cement") \cdot v37\_emiIndCCSmax(t,regi,"co2cement\_process") = vm\_emiIndCCS(t,regi,"co2cement\_process") \cdot v37\_emiIndCCSmax(t,regi,"co2cement") \end{multline*}\]

Calculate industry CCS costs.

\[\begin{multline*} v37\_emiIndCCSmax(t,regi,emiInd37) = \sum_{emiMac2mac(emiInd37,macInd37)}\left( \left( \sum_{secInd37\_2\_emiInd37(secInd37,emiInd37),entyFeCC37}\left( vm\_emiIndBase(t,regi,entyFeCC37,secInd37) \right)\$\left( NOT sameas(emiInd37,"co2cement\_process") \right) + \left( vm\_emiIndBase(t,regi,"co2cement\_process","cement") \right)\$ sameas(emiInd37,"co2cement\_process") \right) \cdot pm\_macSwitch(macInd37) \cdot pm\_macAbatLev(t,regi,macInd37) \right) \end{multline*}\]

CES markup cost that are accounted in the budget (GDP) to represent sector-specific demand-side transformation cost in industry

\[\begin{multline*} vm\_costCESMkup(t,regi,in) = p37\_CESMkup(t,regi,in) \cdot \left(vm\_cesIO(t,regi,in) + pm\_cesdata(t,regi,in,"offset\_quantity")\right) \end{multline*}\]

Feedstock balances Lower bound on feso/feli/fega in chemicals FE input for feedstocks

\[\begin{multline*} \sum_{in\_chemicals\_feedstock\_37(in)} vm\_cesIO(t,regi,in) \geq \sum_{ces\_eff\_target\_dyn37("ue\_chemicals",in)} vm\_cesIO(t,regi,in) \cdot p37\_chemicals\_feedstock\_share(t,regi) \end{multline*}\]

Define the flow of non-energy feedstocks. It is used for emissions accounting and calculating plastics production

\[\begin{multline*} \sum_{se2fe(entySe,entyFe,te)}\left( vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \right) = \sum_{fe2ppfEn\left(entyFe,ppfen\_industry\_dyn37(in)\right), secInd37\_emiMkt(secInd37,emiMkt), secInd37\_2\_pf\left(secInd37,in\_chemicals\_feedstock\_37(in)\right)}\left( \left( vm\_cesIO(t,regi,in) + pm\_cesdata(t,regi,in,"offset\_quantity") \right) \cdot p37\_chemicals\_feedstock\_share(t,regi) \right)\$ entyFE2sector2emiMkt\_NonEn(entyFe,"indst",emiMkt) \end{multline*}\]

Feedstocks flow has to be lower than total energy flow into the industry

\[\begin{multline*} vm\_demFeSector\_afterTax(t,regi,entySe,entyFe,"indst",emiMkt) \geq vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \end{multline*}\]

Feedstocks have identical fossil/biomass/synfuel shares as industry FE

\[\begin{multline*} vm\_demFeSector\_afterTax(t,regi,entySe,entyFe,"indst",emiMkt) \cdot \sum_{se2fe(entySe2,entyFe,te)}\left( vm\_demFENonEnergySector(t,regi,entySe2,entyFe,"indst",emiMkt) \right) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot \sum_{se2fe2(entySe2,entyFe,te)}\left( vm\_demFeSector\_afterTax(t,regi,entySe2,entyFe,"indst",emiMkt) \right) \end{multline*}\]

Calculate mass of carbon contained in chemical feedstocks

\[\begin{multline*} v37\_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot p37\_FeedstockCarbonContent(t,regi,entyFe) \end{multline*}\]

Calculate carbon contained in plastics as a share of carbon in feedstock [GtC]

\[\begin{multline*} v37\_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot p37\_FeedstockCarbonContent(t,regi,entyFe) \end{multline*}\]

calculate plastic waste generation, shifted by mean lifetime of plastic products shift by 2 time steps when we have 5-year steps and 1 when we have 10-year steps allocate averge of 2055 and 2060 to 2070, unless cm_wastelag is NO, in which case waste is incurred in the same period plastics are produced

\[\begin{multline*} v37\_plasticWaste(ttot,regi,entySe,entyFe,emiMkt) = v37\_plasticsCarbon(ttot,regi,entySe,entyFe,emiMkt)\$\left( NOT \%cm\_wastelag\% \right) + \left( v37\_plasticsCarbon(ttot-2,regi,entySe,entyFe,emiMkt)\$\left( ttot.val lt 2070 \right) + \left(\frac{ \left( v37\_plasticsCarbon(ttot-2,regi,entySe,entyFe,emiMkt) + v37\_plasticsCarbon(ttot-1,regi,entySe,entyFe,emiMkt) \right) }{ 2 }\right)\$\left( ttot.val eq 2070 \right) + v37\_plasticsCarbon(ttot-1,regi,entySe,entyFe,emiMkt)\$\left( ttot.val gt 2070 \right) \right)\$\left( \%cm\_wastelag\% \right) \end{multline*}\]

emissions from plastics incineration as a share of total plastic waste, discounted by captured amount

\[\begin{multline*} v37\_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot p37\_FeedstockCarbonContent(t,regi,entyFe) \end{multline*}\]

\[\begin{multline*} v37\_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot p37\_FeedstockCarbonContent(t,regi,entyFe) \end{multline*}\]

calculate carbon contained in non-incinerated plastics this is used in emissions accounting to subtract the carbon that gets sequestered in plastic products

\[\begin{multline*} v37\_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt) = vm\_demFENonEnergySector(t,regi,entySe,entyFe,"indst",emiMkt) \cdot p37\_FeedstockCarbonContent(t,regi,entyFe) \end{multline*}\]

calculate flow of carbon contained in chemical feedstock with unknown fate it is assumed that this carbon is re-emitted in the same timestep if cm_feedstockEmiUnknownFate is enabled (=on)

                         entyFE2sector2emiMkt_NonEn(entyFe,"indst",emiMkt) ) ..
  vm_feedstockEmiUnknownFate(t,regi,entySe,entyFe,emiMkt)
  =e=
$ifthen.cm_feedstockEmiUnknownFate not "%cm_feedstockEmiUnknownFate%" == "off"
  (
    v37_FeedstocksCarbon(t,regi,entySe,entyFe,emiMkt)
  * (1 - s37_plasticsShare)
  )
$else.cm_feedstockEmiUnknownFate
  0
$endIf.cm_feedstockEmiUnknownFate
;

Material input to production

\[\begin{multline*} v37\_matFlow(t,regi,mat) = \sum_{tePrc2matIn(tePrc,opmoPrc,mat)}\left( p37\_specMatDem(mat,tePrc,opmoPrc) \cdot vm\_outflowPrc(t,regi,tePrc,opmoPrc) \right) \end{multline*}\]

Material cost

\[\begin{multline*} vm\_costMatPrc(t,regi) = \sum_{mat}\left( p37\_priceMat(mat) \cdot v37\_matFlow(t,regi,mat)\right) \end{multline*}\]

Output material production

\[\begin{multline*} v37\_matFlow(t,regi,mat) = \sum_{tePrc2matOut(tePrc,opmoPrc,mat)}\left( vm\_outflowPrc(t,regi,tePrc,opmoPrc) \right) \end{multline*}\]

Hand-over to CES

\[\begin{multline*} \left(vm\_cesIO(t,regi,in) + pm\_cesdata(t,regi,in,"offset\_quantity")\right) \cdot p37\_ue\_share(mat,in) = \sum_{mat2ue(mat,in)}\left( p37\_mat2ue(mat,in) \cdot v37\_matFlow(t,regi,mat) \right) \end{multline*}\]

Definition of capacity constraints

\[\begin{multline*} \sum_{tePrc2opmoPrc(tePrc,opmoPrc)}\left( vm\_outflowPrc(t,regi,tePrc,opmoPrc) \right) \leq \sum_{teMat2rlf(tePrc,rlf)}\left( vm\_capFac(t,regi,tePrc) \cdot vm\_cap(t,regi,tePrc,rlf) \right) \end{multline*}\]

Emission from process based industry sector (pre CC)

\[\begin{multline*} v37\_emiPrc(t,regi,entyFe,tePrc,opmoPrc) = pm\_specFeDem(t,regi,entyFe,tePrc,opmoPrc) \cdot \sum_{se2fe(entySeFos,entyFe,te)}\left( pm\_emifac(t,regi,entySeFos,entyFe,te,"co2")\right) \cdot vm\_outflowPrc(t,regi,tePrc,opmoPrc) \end{multline*}\]

Carbon capture processes can only capture as much co2 as the base process and the CCS process combined emit

\[\begin{multline*} \sum_{tePrc2opmoPrc(teCCPrc,opmoCCPrc)}\left( vm\_outflowPrc(t,regi,teCCPrc,opmoCCPrc) \right) = p37\_captureRate(teCCPrc) \cdot \sum_{entyFe,tePrc2teCCPrc(tePrc,opmoPrc,teCCPrc,opmoCCPrc)}\left( v37\_shareWithCC(t,regi,tePrc,opmoPrc) \cdot v37\_emiPrc(t,regi,entyFe,tePrc,opmoPrc) \right) + p37\_selfCaptureRate(teCCPrc) \cdot \sum_{entyFe,tePrc2opmoPrc(teCCPrc,opmoCCPrc)}\left( v37\_emiPrc(t,regi,entyFe,teCCPrc,opmoCCPrc)\right) \end{multline*}\]

Emission captured from process based industry sector

\[\begin{multline*} vm\_emiIndCCS(t,regi,emiInd37) = \sum_{secInd37\_2\_emiInd37(secInd37Prc,emiInd37), secInd37\_tePrc(secInd37Prc,tePrc), tePrc2teCCPrc(tePrc,opmoPrc,teCCPrc,opmoCCPrc)}\left( vm\_outflowPrc(t,regi,teCCPrc,opmoCCPrc) \right) \end{multline*}\]

Limitations There are no known limitations.

Definitions

Objects

Sets

Authors

Michaja Pehl

See Also

01_macro, 05_initialCap, 20_growth, 21_tax, 24_trade, 29_CES_parameters, 47_regipol, core

References