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 …
2019–2022). This includes engineering; electric engineering; optical fibers; geographic …
[HTML][HTML] Vector geometric algebra in power systems: An updated formulation of apparent power under non-sinusoidal conditions
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 …
power—are still a source of debate, because they present several flaws that misinterpret the …
[HTML][HTML] A hybrid random parameters modification to MPPT algorithm to mitigate interharmonics from single-phase grid-connected PV systems
As the on-grid photovoltaic (PV) system's penetration level increases, the utility grid power
quality (PQ) becomes a vital emerging issue to spot the lights on. The recent studies …
quality (PQ) becomes a vital emerging issue to spot the lights on. The recent studies …
Formulating the geometric foundation of Clarke, Park, and FBD transformations by means of Clifford's geometric algebra
FG Montoya, AH Eid - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
Several of the most fundamental transformations widely used by the power engineering
community are strongly based on geometrical considerations. Clifford's geometric algebra …
community are strongly based on geometrical considerations. Clifford's geometric algebra …
An overview of measurement standards for power quality
Power Quality (PQ) is a vital aspect of electrical power systems, which cannot be neglected
anymore, as an ample PQ guarantees the essential compatibility between consumer …
anymore, as an ample PQ guarantees the essential compatibility between consumer …
A new approach to single-phase systems under sinusoidal and non-sinusoidal supply using geometric algebra
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 …
geometric algebra for single-phase circuits in the frequency domain. It also embodies an …
[HTML][HTML] 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 …
to theoretical two-dimensional circuits using a new mathematical model based on Geometric …
[HTML][HTML] Parameter estimation of harmonics arising in electrical instruments of smart grids using cuckoo search heuristics
NA Malik, CL Chang, NI Chaudhary… - Frontiers in Energy …, 2022 - frontiersin.org
The accurate estimation of power signal parameters allows smart grids to optimize power
delivery efficiency, improve equipment utilization, and control power flow among generation …
delivery efficiency, improve equipment utilization, and control power flow among generation …
[HTML][HTML] A new power calculation method based on time–frequency analysis
R de Almeida Coelho, NSD Brito - … Journal of Electrical Power & Energy …, 2023 - Elsevier
The increasing spread of non-linear loads is leading to rising distortion levels of power
network signals. As a consequence, voltage and current signals deviate from a pure …
network signals. As a consequence, voltage and current signals deviate from a pure …
[HTML][HTML] A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions
J Ventura, F Martinez, F Manzano-Agugliaro… - Journal of …, 2024 - Springer
This paper introduces a novel method for solving the resection problem in two and three
dimensions based on conformal geometric algebra (CGA). Advantage is taken because of …
dimensions based on conformal geometric algebra (CGA). Advantage is taken because of …