Projects:2017s1-196 New Computational Methods for the Super Smart Grid

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This project will explore the application of geometric algebra and multi-complex methods to solve planning and power quality problems in the Super Smart Grid. This project also demonstrates the reason and the motivations why we start this new computational method for the super smart grid. Some relative background information, such as the Geometric Algebra and the classic theory of power theory has been given. It also gives the limitation and constraints about this project. Readers can see the Clifford functions and the conventional theories, with the exploration of the Clifford Toolbox and the circuit analysis.

Group member

Guohao Liu

Kai Liu

Haoyuan Zhang

Xuliang Deng

Project supervisors and advisor

Dr. Andrew Allison

Dr. Rastko Zivanovic

Dr. Azhar Iqbal


[1]A. Ferrero, “Definitions of Electrical Quantities Commonly used in Non-Sinusoidal Conditions,” ETEP vol. 8, no.4, July/August 1998

[2]R. Castro-Puche, Álgebra Moderna e Introducción al Álgebra Geometrica, Editorial Ecoe, 2013

[3]H. Lev-Ari, A.M. Stankovic, “A Geometric Algebra Approach to Decomposition of Apparent Power in General Polyphase Networks,” 41-th North American Power Symposium, Oct. 2009

[4]Milton David Castro-Núñez, ” The Use of Geometric Algebra in the Analysis of Non-sinusoidal Networks and the Construction of a Unified Power Theory for Single Phase Systems - A Paradigm Shift”, Departement of Electrical and Computer Engineering Calgary, Sep.2013.