Work

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

Year: 2025

Type: article

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.

Source: Advances in Applied Clifford Algebras

DOI: 10.1007/s00006-025-01417-3

Author: Johanka Brdečková

Institution: Brno University of Technology

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Vysoké Učení Technické v Brně