We give an overview of the main contributions of , , which study the power flow feasibility of DC power grids with constant-power loads. We give a necessary and sufficient LMI condition for the feasibility of the power flow problem, and give a geometric description of the constant power demands for which this power flow problem is feasible. Moreover, we show that there is a one-to-one correspondence between the feasible power demands and the so-called long-term voltage semi-stable operating points. Such an operating point can be found by solving an initial value problem. This operating point is shown to element-wise strictly dominate all other operating points, and is shown to minimize the dissipation in the lines among all operating points.
|Publication status||Published - 2021|
|Event||2021 European Control Conference (ECC) - Delft, Netherlands|
Duration: 29-Jun-2021 → 2-Jul-2021
|Conference||2021 European Control Conference (ECC)|
|Period||29/06/2021 → 02/07/2021|
- Electrical power systems, Network analysis and control, Transportation systems