diff --git a/docs/core/equations.qmd b/docs/core/equations.qmd index 699d89ffa..0d24fa3a6 100644 --- a/docs/core/equations.qmd +++ b/docs/core/equations.qmd @@ -449,7 +449,7 @@ $$ # UserDemand allocation UserDemands have an allocated flow rate $F^p$ per priority $p=1,2,\ldots, p_{\max}$, which is either determined by [allocation optimization](allocation.qmd) or simply equal to the demand at time $t$; $F^p = d^p(t)$. The actual abstraction rate of a UserDemand is given by $$ - Q_\text{user_demand, in} = \phi(u, 10.0)\phi(h-l_{\min}, 0.1)\sum_{p=1}^{p_{\max}} \min\left(F^p, d^p(t)\right). + Q_\text{userdemand, in} = \phi(u, 10.0)\phi(h-l_{\min}, 0.1)\sum_{p=1}^{p_{\max}} \min\left(F^p, d^p(t)\right). $$ From left to right: @@ -461,10 +461,10 @@ From left to right: UserDemands also have a return factor $0 \le r \le 1$, which determines the return flow (outflow) of the UserDemand: $$ -Q_\text{user_demand, out} = r \cdot Q_\text{user_demand, in}. +Q_\text{user_demand, out} = r \cdot Q_\text{userdemand, in}. $$ -Note that this means that the user_demand has a consumption rate of $(1-r)Q_\text{user_demand, in}$. +Note that this means that the user_demand has a consumption rate of $(1-r)Q_\text{userdemand, in}$. # PID controller {#sec-PID}