Sumários

Newton, Quasi-Newton, decoupling, FDPF

12 outubro 2017, 11:00 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

 


Power Flow

12 outubro 2017, 09:30 Luis Marcelino Ferreira

PF2

PF3


Power Flow

10 outubro 2017, 17:00 Luis Marcelino Ferreira

PF2

PF3


Powerflow eqs in real format and Newton's

10 outubro 2017, 09:30 Luis Marcelino Ferreira

Powerflow eqs in real format

Based on separation of the matrix form of I=YV

Vectors P, Q; Matrices G and B

Polar form: V, theta

Rectangular form: Re(V), Imag(V)

Advantages and disadvantages of polar vs rectangular

Can Newton’s be used in rectangular form?

PV buses: how to handle them

Power flow without a I=YB matrix base: nodal power eqs

Newton’s method and the role of derivatives

Computation of dPi/dthetaj, dPi/dVj, dQi/dthetaj and dQi/dVj

Use (.)/dVj/Vj instead: historical advantages

Assembling J

inv(J) is merely symbolic: do not use it for Newton’s, not even in Matlab

Matrix factorization: review basics

Numerical example of a J


Prob 2

4 outubro 2017, 08:00 Luis Marcelino Ferreira

Prob 2