DC-OPF on matpower

[Victor Hugo Hinojosa M.]

Dear Dr Zimmerman,
I’d like to ask you a question about the DC optimal power flow (DC-OPF). The
optimization problem in Matpower is modeled using as decision variables the
active power generation and the bus voltage angles. These variables are
solved using the primal-dual interior point solver (MIPS) considering that
both variables are independent. When the AC transmission system is
transformed using the DC approach, the voltage angles and the active power
injections are related through the Y_bus matrix, so the decision variables
are dependent. It’s possible to model the DC-OPF problem using only the
power generation as decision variable?

Thank you so much for your comments in advance.

Best Regards,

Víctor