A survey on quaternion algebra and geometric algebra applications in engineering and computer science 1995–2020

E Bayro-Corrochano - IEEE Access, 2021 - ieeexplore.ieee.org
Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …

Current survey of Clifford geometric algebra applications

E Hitzer, C Lavor, D Hildenbrand - Mathematical Methods in …, 2024 - Wiley Online Library
We extensively survey applications of Clifford Geometric algebra in recent years (mainly
2019–2022). This includes engineering; electric engineering; optical fibers; geographic …

Vector geometric algebra in power systems: An updated formulation of apparent power under non-sinusoidal conditions

FG Montoya, R Baños, A Alcayde, FM Arrabal-Campos… - Mathematics, 2021 - mdpi.com
Traditional electrical power theories and one of their most important concepts—apparent
power—are still a source of debate, because they present several flaws that misinterpret the …

Analysis of power flow under non-sinusoidal conditions in the presence of harmonics and interharmonics using geometric algebra

FG Montoya, R Baños, A Alcayde… - International Journal of …, 2019 - Elsevier
The calculation of power flow in power systems with the presence of harmonics has been
properly studied in the scientific literature. However, power flow calculation considering …

A new approach to single-phase systems under sinusoidal and non-sinusoidal supply using geometric algebra

FG Montoya, R Baños, A Alcayde… - Electric Power Systems …, 2020 - Elsevier
The aim of this work is to present major upgrades to existing power theories based on
geometric algebra for single-phase circuits in the frequency domain. It also embodies an …

Analysis of non-active power in non-sinusoidal circuits using geometric algebra

FG Montoya, R Baños, A Alcayde… - International Journal of …, 2020 - Elsevier
A new approach for the definition of non-active power in electrical systems is presented in
this paper. Through the use of geometric algebra, it is possible to define a new term called …

Optimization Methods Applied to Power Systems

FG Montoya, R Baños, A Alcayde… - Energies, 2019 - mdpi.com
Continuous advances in computer hardware and software are enabling researchers to
address optimization solutions using computational resources, as can be seen in the large …

Geometric algebra framework applied to symmetrical balanced three-phase systems for sinusoidal and non-sinusoidal voltage supply

FG Montoya, R Banos, A Alcayde, FM Arrabal-Campos… - Mathematics, 2021 - mdpi.com
This paper presents a new framework based on geometric algebra (GA) to solve and
analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal …

Reactive power optimization of large-scale power systems: A transfer bees optimizer application

H Cao, T Yu, X Zhang, B Yang, Y Wu - Processes, 2019 - mdpi.com
A novel transfer bees optimizer for reactive power optimization in a high-power system was
developed in this paper. Q-learning was adopted to construct the learning mode of bees …

PSO-Algorithm-Based Optimal Design of LCLC Resonant Converters for Space Travelling-Wave Tube Amplifiers Applications

B Zhao, G Wang - Energies, 2019 - mdpi.com
Due to the advantages of zero-voltage-switching (ZVS) and zero-current-switching (ZCS),
LCLC resonant converters are universally applied in two-stage electronic power …