Question

The Newton-Raphson method is most well suited for solving the nonlinear power flow equations.

(a) True

(b) False

Short answer

The correct answer is (a) true.

Step-by-step solution

Definition of Newton-Raphson method.

Newton-Raphson method is used for finding a real root polynomial of a given differential function. It is defined as:

$\mathbf{y}\mathbf{=}\mathbf{f}\left(x\right)$ …… (1)

Here, x , y and f are vectors for the power flow problem.

Determine the formula for nonlinear power flow equations.  

Newton-Raphson method is best suited for solving nonlinear power flow

equations due to:

(a) Newton-Raphson converges in many cases where Jacobi and Gauss-

Seidel diverge.

(b) The number of iterations required for convergence is self-sufficient of the

dimension N for Newton-Raphson.

(c) It converge fewer than 10 iterations for Newton-Raphson power flow

equations.

Hence, the correct answer is (a) true.