Algebraic Solution of the Load-Flow Problem
for a four Nodes Electrical Network
Date: July 18th (Thursday)
Time: 14:50-15:15
Abstract
The Load Flow Problem is very important in Electrical Engineering. It provides
systems of multivariate polynomial equations. Instead of ordinary numerical solutions it
would be very convenient to obtain algebraic solutions. Combining different Computer
Algebra techniques, namely Groebner basis, dialytic elimination, resultants and
comprehensive Groebner basis, we provide a method to solve algebraically simple networks,
allowing us also to study the numerical stability of the problem and of the algorithm.
