#### 6.2 Standard DC OPF

When using DC network modeling assumptions and limiting polynomial costs to second
order, the standard OPF problem above can be simpliﬁed to a quadratic program, with
linear constraints and a quadratic cost function. In this case, the voltage magnitudes and
reactive powers are eliminated from the problem completely and real power ﬂows are
modeled as linear functions of the voltage angles. The optimization variable
is

| (6.27) |

and the overall problem reduces to the following form.

| (6.28) |

subject to

| (6.29) |