Parameters are indexed by the sets defined above and used to specify input data. In the leftmost column below, the subscripts indicate the sets used to index the parameter. As with sets, we categorize parameters thematically and present them below in separate tables.
Below are the time-related parameters.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{SFS}_s\) |
|
|
per-season year fraction; loaded from the |
|
|
hours per time-of-day segment; loaded from the |
|
\(\text{SEG}_{s,d}\) |
(computed) |
|
fraction of year represented by each (s, d) tuple; computed as |
(config) |
|
time sequencing mode: |
|
(config) |
|
number of days per period (default: 365); set as a top-level key in the configuration TOML file, not in the database |
|
\(\text{SFS}_{s^{seq}}\) |
|
|
per-sequential-season year fraction; loaded from the |
Parameters in the table below relate to capacity and its performance characteristics.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{C2A}_{r,t}\) |
|
|
converts from capacity to activity units |
\(\text{CC}_{r,p,t,v}\) |
|
|
process-specific capacity credit used in the static reserve margin constraint |
\(\text{CFT}_{r,s,d,t}\) |
|
|
technology-specific capacity factor |
\(\text{CFP}_{r,s,d,t,v}\) |
|
|
process-specific capacity factor; allows capacity factor to change with technology vintage |
\(\text{ECAP}_{r,t,v}\) |
|
|
installed capacity that exists prior to first model time period |
\(\text{PRM}_{r}\) |
|
|
planning reserve margin used to ensure sufficient generating capacity |
\(\text{RCD}_{r,s,t,v}\) |
|
|
capacity derate factor for dynamic reserve margin constraint |
\(\text{RUH}_{r,t}\) |
|
|
hourly rate at which generation techs can ramp output up |
\(\text{RDH}_{r,t}\) |
|
|
hourly rate at which generation techs can ramp output down |
Parameters in the table below relate to the specification of costs.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{CF}_{r,p,t,v}\) |
|
|
fixed operations & maintenance cost |
\(\text{CI}_{r,t,v}\) |
|
|
tech-specific investment cost |
\(\text{CV}_{r,p,t,v}\) |
|
|
variable operations & maintenance (O&M) cost |
\(\text{CE}_{r,p,e}\) |
|
|
emission costs |
\(\text{GDR}\) |
|
|
global rate used to convert future time period costs to the present cost |
\(\text{DLR}\) |
|
|
default loan rate used to amortize investment costs |
\(\text{LLP}_{r,t,v}\) |
|
|
process-specific loan term (default=lifetime_process) |
\(\text{LR}_{r,t,v}\) |
|
|
process-specific interest rate on investment cost |
Parameters in the table below relate to the specification of technology efficiency and performance.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{EFF}_{r,i,t,v,o}\) |
|
|
technology- and commodity-specific conversion efficiency |
\(\text{EFFV}_{r,s,d,i,t,v,o}\) |
|
|
optional time slice multiplier on efficiency (no period index; applies to all periods) |
\(\text{LTT}_{r,t}\) |
|
|
technology-specific lifetime (default=40 years) |
\(\text{LTP}_{r,t,v}\) |
|
|
tech- and vintage-specific lifetime (default=lifetime_tech) |
\(\text{LSC}_{r,p,t,v}\) |
|
|
surviving fraction of original capacity |
\(\text{SD}_{r,t}\) |
|
|
storage duration per technology, specified in hours |
Parameters in the table below relate to the specification of end-use demands.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{DEM}_{r,p,c}\) |
|
|
end-use demand by region-period-commodity |
\(\text{DSD}_{r,s,d,c}\) |
|
|
fractional annual demand by time slice (s,d) |
Parameters in the table below relate to the specification of emissions.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{EAC}_{r,e,i,t,v,o}\) |
|
|
activity-based emissions rate |
\(\text{EE}_{r,t,v,e}\) |
|
|
emissions associated with the creation of capacity; embodied emissions |
\(\text{EEOL}_{r,t,v,e}\) |
|
|
emissions associated with the retirement/end of life of capacity |
Parameters in the table below relate to the specification of absolute limits on capacity, activity and emissions.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{LC}_{r,p,t}\) |
|
|
limit on capacity by period; |
\(\text{LNC}_{r,t,v}\) |
|
|
limit on new capacity deployment by vintage; |
\(\text{LA}_{r,p,t}\) |
|
|
limit on activity by region and period; |
\(\text{LE}_{r,p,e}\) |
|
|
limit on emissions by region and period |
\(\text{LS}_{r,t}\) |
|
|
cumulative activity limit across time periods (not supported in myopic); |
Parameters in the table below relate to the specification of growth and degrowth limits.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{LGC}_{r,t}\) |
|
|
capacity growth rate limits; |
\(\text{LDGC}_{r,t}\) |
|
|
capacity degrowth rate limits; |
\(\text{LGNC}_{r,t}\) |
|
|
new capacity growth rate limits; |
\(\text{LDGNC}_{r,t}\) |
|
|
new capacity degrowth rate limits; |
\(\mathrm{LGNC}_{\Delta,r,t}\) |
|
|
new capacity growth acceleration limits; |
\(\mathrm{LDGNC}_{\Delta,r,t}\) |
|
|
new capacity degrowth deceleration limits; |
Parameters in the table below relate to the specification of operational and split limits.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{LACF}_{r,t,v,o}\) |
|
|
annual capacity factor limits; indexed by vintage (not period); |
\(\text{LSCF}_{r,s,t}\) |
|
|
seasonal capacity factor limits (no period index; applies to all periods) |
\(\text{LSF}_{r,s,d,t}\) |
|
|
limit on storage level in any time slice |
\(\text{TIS}_{r,p,i,t}\) |
|
|
technology input split constraints specifying input fuel ratio at time slice level |
\(\text{TISA}_{r,p,i,t}\) |
|
|
technology input split constraints specifying input fuel ratio at average annual level |
\(\text{TOS}_{r,p,t,o}\) |
|
|
technology split constraints specifying output fuel ratio at time slice level |
\(\text{TOSA}_{r,p,t,o}\) |
|
|
technology split constraints specifying output fuel ratio at average annual level |
Parameters in the table below relate to the specification of share limits.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{LCS}_{r,p,g_1,g_2}\) |
|
|
capacity share limits between technology groups |
\(\text{LAS}_{r,p,g_1,g_2}\) |
|
|
activity share limits between technology groups |
\(\text{LNCS}_{r,g_1,g_2,v}\) |
|
|
new capacity share limits |
Parameters in the table below relate to the specification of policy.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
|
|
[Deprecated] RPS requirements; use |
|
\(\text{LIT}_{r,t,e,t'}\) |
|
|
dummy techs used to convert CO2 emissions to physical commodity |
Parameters in the table below relate to the specification of construction and end-of-life.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\(\text{CON}_{r,i,t,v}\) |
|
|
construction input requirements that represent commodities consumed by creation of process capacity |
\(\text{EOLO}_{r,t,v,o}\) |
|
|
end-of-life outputs that represent commodities produced by retirement/end of life of capacity |
Parameters in the table below are computed in code (i.e., model-derived) and therefore do not appear in the database.
Parameter |
Database Table |
Model Element |
Notes |
|---|---|---|---|
\({}^*\text{LEN}_p\) |
|
number of years in period \(p\); computed from time periods |
|
\({}^*\text{LA}_{t,v}\) |
|
loan amortization by tech and vintage; based on \(DR_t\); computed from loan rate and lifetime |
|
\({}^*\text{PLF}_{r,p,t,v}\) |
|
fraction of available process capacity by region and period; computed from process life fraction |
The tables below specify model outputs. When constructing a new database, they are left blank. These tables are auto-populated by the model after successful run completion.
output_dual_variableoutput_objectiveoutput_curtailmentoutput_net_capacityoutput_built_capacityoutput_retired_capacityoutput_flow_inoutput_flow_outoutput_flow_out_summaryoutput_storage_leveloutput_emissionoutput_cost
Finally, the database tables below do not have a directed mapping to the model code.
Database Table |
Purpose |
Notes |
|---|---|---|
|
Myopic mode efficiency |
alternative efficiency for myopic optimization |
|
Sectoral classification |
used in output tables only |