# Linear AC Power Flow¶

Following the formulation presented in *Linearized AC Load Flow Applied to Analysis*
*in Electric Power Systems* [1], we obtain a way to solve circuits in one shot
(without iterations) and with quite positive results for a linear approximation.

Where:

Here, is the normal circuit admittance matrix and is the admittance matrix formed with only series elements of the model, this is neglecting all the shunt admittances.

After the voltage delta computations, we obtain the final voltage vector by:

- Copy the initial voltage: . This copies the slack values.
- Set the voltage module values for the pq nodes:
- Copy the voltage module values for the pq nodes:
- Set the voltage angle for the pq and pv nodes:

This last part has not been explained in the paper but is is necessary for the adequate performance of the method. For equivalence with the paper [1]:

[1] | (1, 2) Rossoni, P. / Moreti da Rosa, W. / Antonio Belati, E., Linearized AC Load Flow
Applied to Analysis in Electric Power Systems, IEEE Latin America Transactions,
14, 9; 4048-4053, 2016 |