Algorithm 1.

Continuous Power Flow Algorithm

Step 1: Compute V₀ and δ₀ to execute the algorithm described in subsection 2.4.2;

K = 0

Step 2: Reformulate the power flow equations to integrate the parameter λ using Equations (4) - (7);

λ = 0

As long as dλ ≠ 0 and k

K = k + 1

Step 3: Prediction of the new solution

Step 4: Calculate the tangent vector using the equation

Step 5: Predict the next solution based on the equation

Step 6: Fix the solution

Step 7: Correct the error on the predicted solution by solving the 2.32 system

Step 8: Choose the next continuous parameter based on the components of the tangent vector

$x_k:t_k=\max \left(t_1;t_2;t_3;\cdots ;t_m\right)$