diff --git a/doc/rst/MathematicalFormulation.rst b/doc/rst/MathematicalFormulation.rst index 68898226..025bb8d8 100644 --- a/doc/rst/MathematicalFormulation.rst +++ b/doc/rst/MathematicalFormulation.rst @@ -640,9 +640,13 @@ Balance of hydrogen generation by electrolyzers, hydrogen consumption from hydro **Heat network operation** +Energy conversion from any energy type to heating [p.u.] («``eEnergy2Heat``») + +:math:`gh_{ne} = \frac{DUR^p_{\omega n}}{PF''_e} gc_{ne} \quad \forall ne` + Balance of heat generation produced by CHPs and fuel heaters respectively and demand at each node [GW] «``eBalanceHeat``» -:math:`\sum_{e \in i} \frac{DUR^p_{\omega n}}{PF''_e} gc^p_{\omega ne} + \sum_{g \in i} gh^p_{\omega ng} + htns^p_{\omega ni} = DUR^p_{\omega n} DHt^p_{\omega ni} + \sum_{jc} fp^p_{\omega nijc} - \sum_{jc} fp^p_{\omega njic} \quad \forall p \omega ni` +:math:`\sum_{g \in i} gh^p_{\omega ng} + htns^p_{\omega ni} = DUR^p_{\omega n} DHt^p_{\omega ni} + \sum_{jc} fp^p_{\omega nijc} - \sum_{jc} fp^p_{\omega njic} \quad \forall p \omega ni` **Bounds on generation and ESS variables** [GW]