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 …

Geometric algebra applied to multiphase electrical circuits in mixed time–frequency domain by means of hypercomplex Hilbert transform

FG Montoya, R Baños, A Alcayde, FM Arrabal-Campos… - Mathematics, 2022 - mdpi.com
In this paper, power flows in electrical circuits are modelled in a mixed time-frequency
domain by using geometric algebra and the Hilbert transform for the first time. The use of this …

A Methodology for Calculating the R-L Parameters of a Nonlinear Hysteretic Inductor Model in the Time Domain

S Divac, M Rosić, S Zurek, B Koprivica, K Chwastek… - Energies, 2023 - mdpi.com
The aim of this paper is to present a methodology for the calculation of the RL parameters of
a model of a nonlinear hysteretic inductor. The methodology is based on the analysis of the …

New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits

FG Montoya, X Prado, FM Arrabal-Campos… - Scientific Reports, 2023 - nature.com
This study proposes an explanation for the physical power flow in planar circuits by analogy
to theoretical two-dimensional circuits using a new mathematical model based on Geometric …

Instantaneous reactive power theory in the geometric algebra framework

P Salmerón, JL Flores-Garrido, JA Gómez-Galán - Applied Sciences, 2023 - mdpi.com
In this paper, a new approach for instantaneous reactive power analysis in the geometric
algebra (GA) environment is presented. The different formulations of the instantaneous …

Fault diagnosis of coal mills based on a dynamic model and deep belief network

Y Weiming, H Yefa, D Guoping, Y Kai… - Measurement …, 2023 - iopscience.iop.org
As the significant ancillary equipment of coal-fired power plants, coal mills are the key to
ensuring the steady operation of boilers. In this study, a fault diagnosis model was proposed …

Combining real-time parameter identification and robust control algorithms for effective control of electrical machines

T Uzunović, FG Montoya, A Osmanović… - 2022 International …, 2022 - ieeexplore.ieee.org
This paper presents a combination of two methods that can be effectively combined for
control of electrical machines. The first method enables real-time identification of electrical …

[PDF][PDF] Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra

AH Eid, FG Montoya - Mathematics, 2024 - researchgate.net
The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a
comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA) …

Health indicator construction and application of coal mill based on the dynamic model

W Yin, Y Hu, G Ding, W Xu, L Feng… - Structural Health …, 2024 - journals.sagepub.com
As the vital auxiliary machine of the coal-fired power plant, monitoring the real-time
operating status of coal mills is critical to the secure and stable operation of the power plant …

Power Estimation Methods Applied to AC Microgids Operating Under Non-Standard Conditions

JRD Neto, RL de Araújo Ribeiro… - 2023 IEEE 8th …, 2023 - ieeexplore.ieee.org
This paper proposes an assessment of three power estimation methods under adverse
microgrid scenarios, such as the presence of harmonics, load and source unbalance …