Sumários
Problems P1 and P2
24 setembro 2013, 11:00 • Luis Marcelino Ferreira
Problems P1 and P2
Two buses, line R+jX, load P+jQ
Determine V in closed form
Polar coordinates (as in books)
Rectangular coordinates
Multiple solutions and choice of one
Response wrt parameter changes
W proportional to P
Problem of first exam 2013
An introduction to problem data reading
and problem understanding
Power flow solution methods
24 setembro 2013, 09:30 • Luis Marcelino Ferreira
Power flow solution methods
Importance of Jacobi, Gauss, Newton, Raphson
Tinney (60-70) and Newton homes in
Newton in rectangular coordinates
Polar vs rectangular: historic perspective
Quasi Newton
Decoupling (importance)
Fast Decoupled, Stott (74)
Heuristics and performance
Pushing it furthest to diagonals
Different methods, same solution
Models for Xmission lines, Xfs, reactors and shunt capacitors
Why those models are accurate enough
Power flow eq and solution
19 setembro 2013, 11:00 • Luis Marcelino Ferreira
Power flow eq and solution
N-bus power flow eq
Solution methods
Ax=b and Jacobi
Jacobi, Gauss, Seidel for solving power flow equations
Advantages and alternatives
Newton’s method and Taylor’s expansion
Ax=b and Newton
Power eqs in polar coordinates
Structure and values for the Jacobian
Problems P1 and P2
17 setembro 2013, 11:00 • Luis Marcelino Ferreira
Problems P1 and P2
Two buses, line R+jX, load P+jQ
Determine V in closed form
Polar coordinates (as in books)
Rectangular coordinates
Multiple solutions and choice of one
Response wrt parameter changes
W proportional to P
Problem of first exam 2013
An introduction to problem data reading
and problem understanding
Introduction
17 setembro 2013, 09:30 • Luis Marcelino Ferreira