Notations#

For all KPIS equations the following notations are used:

Realization notations#

T : the set of timesteps of the realization
\(E\) : The set of modelled energies in the realization (including CO2 and CO2 captured)
\(N_h\) : the number of timesteps per hour
\(N\) : the set of nodes of the realization
\(N_a\) : the set of nodes to which asset \(a\) is connected (producing or consuming at least one energy at this node)
\(N_{a, e}^p\) : the set of nodes to which asset \(a\) produces energy \(e\)
\(N_{a, e}^c\) : the set of nodes to which asset \(a\) consumes energy \(e\)
\(A\) : the set of assets of the realization
\(A_n\) : the set of assets connected to node \(n\)
\(A_{e, n}^p\) : the set of assets producing energy \(e\) at node \(n\)
\(A_{e, n}^c\) : the set of assets consuming energy \(e\) at node \(n\)

\(p_{a, e, n}(t)\) : the output flow of energy \(e\) produced by an asset \(a\) at the node \(n\) during timestep \(t\)
\(c_{a, e, n}(t)\) : the incoming flow of energy \(e\) consumed by an asset \(a\) at the node \(n\) during timestep \(t\)

Static

Temporal

\(av_a(t)\) : the production availability of an asset, defined as a percentage of its \(p\_max_a\).
\(av_a^{IN}(t)\) : the consumption availability of an asset, defined as a percentage of its \(p\_max_a^{IN}\).
\(p^{*}_a(t)\) : the maximal available power output of an asset \(a\), most often referring to its \(p\_max_a\) attribute multiplied by its availability \(av_a\) timeseries.
\(p^{*, IN}_a(t)\) : the maximal available power input of an asset \(a\), most often referring to its \(p\_max_a^{IN}\) attribute multiplied by its availability \(av_a^{IN}\) timeseries.