tcopflow.md

Multi-period optimal power flow(TCOPFLOW)

TCOPFLOW solves a multi-period AC optimal power flow problem with the objective of minimizing the total cost over the given time horizon while adhering to intra-time and inter-temporal constraints. The problem setup is as following:

$$\begin{aligned} \text{min}&~\sum_{t \in N_t} f(x_t)& \\\ &\text{s.t.}& \\\ &~g(x_t) = 0~~~t \in \{0,N_t\}& \\\ &~h(x_t) \le 0~~t \in \{0,N_t\}& \\\ &x^- \le x_t \le x^+~~t\in \{0,N_t\}& \\\ -\Delta{x}_t & \le x_t - x_{t-\Delta{t}} \le \Delta{x}_t~~t \in \{1,N_t\}& \end{aligned}$$

Here, $N_t$ is the number of timesteps. Each time-step has a full AC optimal power flow formulation with equality constraints $g(x_t)$, inequality $h(x_t)$ and the lower/upper bounds $x^-, x^+$. Additionally, the temporal coupling constraints, given by the last equation, need to be satisfied. The temporal coupling constraints in TCOPFLOW are the generator real power output ramping limits between successive time-steps.

Dependency

ExaGO must be built with Ipopt for this application.

Usage

TCOPFLOW is executed via

mpiexec -n <N> ./tcopflow <options>

where <options> are the available command line options as given in the next section.

Options

There are several options available for the current version of TCOPFLOW. These options can be either set through the options file options/tcopflowoptions or via the command line.

Network file (-netfile <netfilename>):

Set the name of the network file. Only MATPOWER format is currently supported. 4096 characters max.

mpiexec -n <N> ./tcopflow -netfile <netfilename>

Wind generation profile (-tcopflow_windgenprofile <windgenprofile_filename>)

The name of the file describing the wind generation profile. See $EXAGO_DIR/datafiles/case9/case9mod_gen3_wind.m for the format.

Active power load profile (-tcopflow_ploadprofile <ploadprofile_filename>)

The name of the file describing the active load profile. See $EXAGO_DIR/datafiles/case9/load_P.csv for the format.

Reactive power load profile (-tcopflow_qloadprofile <qloadprofile_filename>)

The name of the file describing the reactive load profile. See $EXAGO_DIR/datafiles/case9/load_Q.csv for the format.

Time-step (-tcopflow_dT <time_step>)

The time-step for multi-period TCOPFFLOW in minutes.

Duration (-tcopflow_duration <duration>)

The duration for the multi-period TCOFLOW in hours.