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Proceedings of the IEEE - Popular - Chappell

Proceedings of the IEEE - Popular - Chappell

Geometric Algebra for Electrical and Electronic Engineers

Published in September 2014

 
 

Authors

James M. Chappell, Samuel P. Drake, Cameron L. Seidel, Lachlan J. Gunn, Azhar Iqbal, Andrew Allison, and Derek Abbott

Abstract

In this paper, we explicate the suggested benefits of Clifford’s geometric algebra (GA) when applied to the field of electrical engineering. Engineers are always interested in keeping formulas as simple or compact as possible, and we illustrate that geometric algebra does provide such a simplified representation in many cases. We also demonstrate an addi- tional structural check provided by GA for formulas in addition to the usual checking of physical dimensions. Naturally, there is an initial learning curve when applying a new method, but it appears to be worth the effort, as we show significantly sim- plified formulas, greater intuition, and improved problem solving in many cases.