Newton, Quasi-Newton, decoupling, FDPF

9 outubro 2012, 09:30 • Luis Marcelino Ferreira

 

Complex pf eqs: Jacobi, Gauss, Seidel; no. of eqs

Real pf eqs: rectangular coordinates: Newton; no. of eqs

Real pf eqs: polar coordinates: Newton; no. of eqs

Experimentation with Newton Lab TE3: N and J zeroed; diagdiagN and diagdiagL; other experiments such as BB and diagdiagBB

Most simplified Newton (which works) vs Gauss: how they compare

Advantages and disadvantages of decoupling

Decoupling and not updating: keep Jacobian approximate and constant

Fast decoupling, Stott, approximation made in order to obtain B’ and B”

Why despite different Jacobians the solution remains exactly the same one

 How to test convergence properties for Lab exercise: further loading; network weakening

Observe number of iterations, Jacobian eigenvalues

PV bus: assumption may not hold; how to proceed