Publication detail

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

Johanka Brdečková

English title

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

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

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

Released

2025-12-19

Publisher

Springer Nature

Volume

36

Number

1

Pages count

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"
}