Ortogonale voorstelling van drywing deur middel van kwaternione
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | Ortogonale voorstelling van drywing deur middel van kwaternione Orthogonal representation of power with the aid of quaternions | |
| Creator | Enslin, J. H. R. | |
| Description | Die toename in die gebruik van drywingsbeheerstelsels, wat die belading - en opwekfunksies van drywing in 'n stelsel vervorm, ten opsigte van 'n eenvoudige sinusodaal, het die aanvaarbaarheid van huidige drywingsdefinisies bevraagteken. Die wiskundige voorstelling van drywing deur middel van die kwaternioonteorie word ondersoek am 'n algemene definisie van drywing daar te stel, vir stelsels waar die opwek - en beladingsfunksies nie eenvoudige sinusvormige verlope besit nie. Die algemene beskrywing van drywing word aan die hand van tipiese elektriese stelsels geïllustreer, maar word voorgestel in die algemene analise van alle ander drywingstelsels, hetsy meganies, termies of chemies. Drywing word verdeel in komponente wat die netwerk beskryf aan die hand van energie-oordrag en is onderling ortogonaal. Die kwaternioonteorie besit ortogonale eienskappe wat, uitgaande vanaf die Cauchy-Schwarz-ongelykheid, die beladingsfunksie op die opwekfunksie beskryf om sodoende drywing in drie dimensies voor te stel. The increased use of power control equipment resulted in the distortion of the excitation and response functions in power systems from simple sinusoids. These systems resulted in discrepancies in the general definition of power. This distortion has a negative effect on the accurate definition and representation of power in a contaminated power system. The mathematical representation of power with the aid of the theory of quaternions in vector calculus is investigated to obtain a generalized definition of power in all power systems, especially in power systems where the excitation and response functions show non-sinusoidal characteristics. The general description of power is illustrated with the aid of electrical power systems, but is however proposed to be beneficial in all power systems, being mechanical, thermal or chemical. Power is divided into different orthogonal components which describes the energy transfer through a system. The quaternion theory has orthogonal properties which can be used together with the Cauchy-Schwarz inequality to describe the power components using the excitation and respective response functions. | |
| Publisher | AOSIS | |
| Date | 1990-07-05 | |
| Identifier | 10.4102/satnt.v9i1.433 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 9, No 1 (1990); 11-14 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 9, No 1 (1990); 11-14 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/433/782
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