Generators

3.3 Generators

A generator is modeled as a complex power injection at a speciﬁc bus. For generator $i$ , the injection is

i i i sg = pg + jqg.

(3.4)

Let $Sg = Pg + jQg$ be the $ng × 1$ vector of these generator injections. The MW and MVAr equivalents (before conversion to p.u.) of $pi g$ and $qi g$ are speciﬁed in columns PG (2) and QG (3), respectively of row $i$ of the gen matrix. A sparse $nb × ng$ generator connection matrix $Cg$ can be deﬁned such that its $th (i,j)$ element is 1 if generator $j$ is located at bus $i$ and 0 otherwise. The $nb × 1$ vector of all bus injections from generators can then be expressed as

Sg,bus = Cg ⋅ Sg.

(3.5)

A generator with a negative injection can also be used to model a dispatchable load.

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