Detail publikačního výsledku

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

Johanka Brdečková

Originální název

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

Anglický název

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

Druh

Článek WoS

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.

Anglický 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

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

Klíčová slova v angličtině

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

Autoři

Johanka Brdečková

Vydáno

19.12.2025

Nakladatel

Springer Nature

Periodikum

Advances in Applied Clifford Algebras

Svazek

36

Číslo

1

Stát

Švýcarská konfederace

Strany počet

17

URL

https://link.springer.com/article/10.1007/s00006-025-01417-3

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"
}