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# Newton-Raphson Power Flow Algorithm II - PowerPoint PPT Presentation

Newton-Raphson Power Flow Algorithm II. Lecture #21 EEE 574 Dr. Dan Tylavsky. During the last lecture, you (we) derived the functional form of the Jacobian entries:.

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### Newton-Raphson Power Flow Algorithm II

Lecture #21

EEE 574

Dr. Dan Tylavsky

• Also at the start of the iteration process:

Jacobian is close diagonally dominant and it is not surprising that no pivoting is required.

Changing the order of the eqn’s or variables will destroy the near diagonal dominance property.

All line charging susceptances

are given by j0.02

2

1

0.02+j0.06 P.U.

0.02+j0.06  P.U.

0.02+j0.06  P.U.

3

Read Input, Construct Y following power system assuming bus 1 is the slack bus, all bus voltages are approximately 1/bus

Assume Flat Bus Voltage Profile E=1/00

Assume Gen’s not on VAR limits.

Update Bus Voltage Vq+1=Vq+Vq, q+1= q+  q

Iteration Index=q=0

Calculate Line Flows, Gen. Power and Mismatches

Y

Is q>3?

Perform bus type switching

Did buses

Switch Types?

N

N

q=q+1

Converged?

|Pqmax|, |Qqmax|<?

Y

Create Output

Y

N

Calculate Jacobian Entries and Solve Mismatch Eqn.

Determine optimal ordering for minimal fill. Permute input data.

Read following power system assuming bus 1 is the slack bus, all bus voltages are approximately 1/

Input

Solve

Write

Output

Optimal

Order

Permute

Input Data

Initial Estimate of

Bus Voltages

Line Flows

& Mismatches

Bus Type

Switching

Construct

Jacobian

Factorize

Jacobian

Solve for

q, Vq

Update

q+1, Vq+1

Permute

Output

Main Steering Routine