Detail publikace

Quadratic Programming Problem in Power System Engineering Based on Projective Geometric Algebra

Johanka Brdečková

Anglický název

Quadratic Programming Problem in Power System Engineering Based on Projective Geometric Algebra

Typ

Článek WoS

Jazyk

en

Originální abstrakt

To find an optimal current in a three-phase four-wire power system we have to solve a quadratic programming problem with a positive definite quadratic form with an equality constraint. We offer an approach which solves this and similar problems using an apparatus of geometric algebras, namely Projective geometric algebra. We add dimensions to encode parts of a quadratic function and reformulate the problem to seeking an orthogonal projection of the origin to an intersection of hyperplanes.

Klíčová slova anglicky

Geometric algebra, Projective geometric algebra, Three-phase signal, Quadratic programming

Vydáno

2025-12-19

Nakladatel

Springer Nature

Ročník

36

Číslo

1

Počet stran

17

BIBTEX


@article{BUT200974,
  author="{} and Johanka {Brdečková}",
  title="Quadratic Programming Problem in Power System Engineering Based on Projective Geometric Algebra",
  journal="Advances in Applied Clifford Algebras",
  year="2025",
  volume="36",
  number="1",
  pages="17",
  doi="10.1007/s00006-025-01417-3",
  issn="0188-7009",
  url="https://link.springer.com/article/10.1007/s00006-025-01417-3"
}