Programming Tools for Geometric Algebra

1993 ◽  
Author(s):  
Gabor Karsai ◽  
Samir Padalkar ◽  
Hubertus Franke ◽  
Janos Sztipanovits

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1259
Author(s):  
Francisco G. Montoya ◽  
Raúl Baños ◽  
Alfredo Alcayde ◽  
Francisco Manuel Arrabal-Campos ◽  
Javier Roldán Roldán Pérez

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 conditions. The proposed approach is an exploratory application of the geometric algebra power theory (GAPoT) to multiple-phase systems. A definition of geometric apparent power for three-phase systems, that complies with the energy conservation principle, is also introduced. Power calculations are performed in a multi-dimensional Euclidean space where cross effects between voltage and current harmonics are taken into consideration. By using the proposed framework, the current can be easily geometrically decomposed into active- and non-active components for current compensation purposes. The paper includes detailed examples in which electrical circuits are solved and the results are analysed. This work is a first step towards a more advanced polyphase proposal that can be applied to systems under real operation conditions, where unbalance and asymmetry is considered.


IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 62610-62618 ◽  
Author(s):  
Zhang Youzheng ◽  
Mui Yanping

2008 ◽  
Vol 41 (2) ◽  
pp. 8461-8466
Author(s):  
E. Estévez ◽  
M. Marcos ◽  
D. Orive ◽  
F. López ◽  
E. Irisarri ◽  
...  

2017 ◽  
Vol 27 (3) ◽  
pp. 2115-2132 ◽  
Author(s):  
D. Hildenbrand ◽  
S. Franchini ◽  
A. Gentile ◽  
G. Vassallo ◽  
S. Vitabile
Keyword(s):  

2014 ◽  
Vol 24 (2) ◽  
pp. 493-514 ◽  
Author(s):  
Julio Zamora-Esquivel
Keyword(s):  

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