Jacobian matrix computation for Newton-Raphson power flow analysis. More...

#include <Eigen/Dense>
#include <vector>

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Classes
class	Jacobian
	Computes the Jacobian matrix for the Newton-Raphson power flow solver. More...

Detailed Description

Jacobian matrix computation for Newton-Raphson power flow analysis.

Constructs the Jacobian matrix with block structure:

$$ J = \begin{bmatrix} J_{11} & J_{12} \ J_{21} & J_{22} \end{bmatrix} $$

where:

$$ J_{11} $$: $$ \frac{\partial P}{\partial \delta} $$ for non-slack buses
$$ J_{12} $$: $$ \frac{\partial P}{\partial |V|} $$ for non-slack rows, PQ columns
$$ J_{21} $$: $$ \frac{\partial Q}{\partial \delta} $$ for PQ rows, non-slack columns
$$ J_{22} $$: $$ \frac{\partial Q}{\partial |V|} $$ for PQ rows and columns

Follows the formulation by B. Sereeter, C. Vuik, and C. Witteveen (REPORT 17-07).

Definition in file Jacobian.H.

Classes