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Update MathematicalFormulation.rst
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erikfilias committed Dec 9, 2024
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Expand Up @@ -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]

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