Conversion#

One of the base fragments of Calliope in fragments. Calliope's balance_conversion, alone: a conversion technology puts out what it takes in. It declares nothing, and reads everything it needs.

dimensions:
  nodes:
    description: Calliope's `nodes` — the places technologies stand at
  techs:
    description: Calliope's `techs` — technologies
  carriers:
    description: Calliope's `carriers` — energy and commodity carriers
  timesteps:
    description: Calliope's `timesteps` — time steps, in order
    dtype: datetime

given:
  parameters:
    base_tech: { dims: [techs], dtype: str }
    include_storage: { dims: [nodes, techs], dtype: bool }
  expressions:
    flow_out_inc_eff: { dims: [nodes, techs, carriers, timesteps] }
    flow_in_inc_eff: { dims: [nodes, techs, carriers, timesteps] }

constraints:
  balance_conversion:
    description: "`balance_conversion` — a conversion technology puts out, before its losses, what it takes in after them"
    dims: [nodes, techs, timesteps]
    where: base_tech == 'conversion' AND NOT include_storage
    expression: sum(flow_out_inc_eff, over=carriers) == sum(flow_in_inc_eff, over=carriers)

Sets#

Symbol	Meaning
\(\mathcal{N}\)	index \(n\) — `nodes` — Calliope's `nodes` — the places technologies stand at
\(\mathcal{I}\)	index \(i\) — `techs` — Calliope's `techs` — technologies
\(\mathcal{C}\)	index \(c\) — `carriers` — Calliope's `carriers` — energy and commodity carriers
\(\mathcal{T}\)	index \(t\) — `timesteps` — Calliope's `timesteps` — time steps, in order

Given#

Symbol	Meaning
\(\mathrm{base\_tech}\)	`base_tech` over \(\mathcal{I}\), data another file declares
\(\mathrm{include\_storage}\)	`include_storage` over \(\mathcal{N} \times \mathcal{I}\), data another file declares
\(\mathit{flow\_out\_inc\_eff}\)	`flow_out_inc_eff` over \(\mathcal{N} \times \mathcal{I} \times \mathcal{C} \times \mathcal{T}\), an expression another file defines
\(\mathit{flow\_in\_inc\_eff}\)	`flow_in_inc_eff` over \(\mathcal{N} \times \mathcal{I} \times \mathcal{C} \times \mathcal{T}\), an expression another file defines

Subject to#

balance_conversion

\[ \sum_{c \in \mathcal{C}} \mathit{flow\_out\_inc\_eff}_{n,i,c,t} = \sum_{c \in \mathcal{C}} \mathit{flow\_in\_inc\_eff}_{n,i,c,t} \qquad \forall\, n \in \mathcal{N},\ i \in \mathcal{I},\ t \in \mathcal{T} \,:\, \mathrm{base\_tech}_{i} = \text{'}\mathrm{conversion}\text{'} \wedge \neg \mathrm{include\_storage}_{n,i} \]