
2nd April 2013, 12:26 PM
#1
Load Flow By NewtonRaphson Method power system analysis free lecture notes pdf
There are three concepts are used in Load flow by newton rapson method.
 Load Flow Algorithm
 Formation of the Jacobian Matrix
 Solution of NewtonRaphson Load Flow
(4.27)
Let us assume that an n bus power system contains a total n_{p} number of PQ buses while the number of PV (generator) buses be n_{g} such that n = n_{p} n_{g} 1. Bus1 is assumed to be the slack bus. The approach to NewtonRaphson load flow is similar to that of solving a system of nonlinear equations using the NewtonRaphson method: At each iteration we have to form a Jacobian matrix and solve for the corrections from an equation of the type given in (4.27). For the load flow problem, this equation is of the form
(4.30)
Where the Jacobian matrix is divided into submatrices as
(4.31)
It can be seen that the size of the Jacobian matrix is ( n n_{p} − 1) x ( n n_{p} −1). For example for the 5bus problem of Fig. 4.1 this matrix will be of the size (7 x 7).
