MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER

Sonal Nanasaheb Mhase; Ashwini Vishal Aher; Tejal Anil Mhase

MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER

February 2025

Vol-11, Issue-1

Paper ID: 25787

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Electrical Engineering, Mathematics

Keywords

Steinmetz’s symbolic method power theory mathematical representation of voltage current and power complex algebra standard vector algebra Geometric Algebra. etc….

Abstract

The paper examines mathematical representations of electrical magnitudes in a.c. circuit theory. It gives an historical and technical perspective of the development of the power concept and its geometrical and algebraic interpretations. The paper criticises the existing mathematical model of electrical power for being an entanglement of two mutually inconsistent, algebras: 1) standard vector algebra (Gibbs- Heaviside) and 2) complex algebra .The paper examines the ubiquitous expressions for power: S= P+jQ; 𝑆˙ = 𝑉˙ 𝐼* The paper analyzes Steinmetz’s symbolic method and exposes its inconsistencies. The paper proves that Steinmetz hypothesis, of a new and noncommutative algebra for power theory, represents a rediscovery of Grassmann- Clifford Algebra. The paper proposes a new didactic of power theory that should include Geometric Algebra.

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Author Information

#	Name	Institute / Affiliation
1	Sonal Nanasaheb Mhase	P.Dr.V.Vikhe Patil Institute of Technology & Engineering (Polytechnic) Loni BK, Maharashtra, India
2	Ashwini Vishal Aher	P.Dr.V.Vikhe Patil Institute of Technology & Engineering (Polytechnic) Loni BK, Maharashtra, India
3	Tejal Anil Mhase	P.Dr.V.Vikhe Patil Institute of Technology & Engineering (Polytechnic) Loni BK, Maharashtra, India

How to Cite

Use the following formats to cite this article in your research.

APA Style

Mhase, Sonal Nanasaheb, Aher, Ashwini Vishal, & Mhase, Tejal Anil (2025). MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER. International Journal of Advance Research and Innovative Ideas In Education, 11(1), 1193-1196.

MLA Style

Mhase, Sonal Nanasaheb, et al. "MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER." International Journal of Advance Research and Innovative Ideas In Education, vol. 11, no. 1, 2025, pp. 1193-1196.

IEEE Style

Sonal Nanasaheb Mhase, Ashwini Vishal Aher, and Tejal Anil Mhase, "MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER," International Journal of Advance Research and Innovative Ideas In Education, vol. 11, no. 1, pp. 1193-1196, 2025.

Vancouver Style

Mhase Sonal Nanasaheb, Aher Ashwini Vishal, Mhase Tejal Anil. MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER. International Journal of Advance Research and Innovative Ideas In Education. 2025;11(1):1193-1196.

Harvard Style

Mhase, Sonal Nanasaheb, Aher, Ashwini Vishal, & Mhase, Tejal Anil (2025) 'MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER', International Journal of Advance Research and Innovative Ideas In Education, 11(1), pp. 1193-1196.

Chicago Style

Mhase, Sonal Nanasaheb, Ashwini Vishal Aher, and Tejal Anil Mhase. "MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER." International Journal of Advance Research and Innovative Ideas In Education 11, no. 1 (2025): 1193-1196.

Turabian Style

Mhase, Sonal Nanasaheb, Ashwini Vishal Aher, and Tejal Anil Mhase. "MATHEMATICAL REPRESENTATIONS OF ELECTRICAL POWER." International Journal of Advance Research and Innovative Ideas In Education 11, no. 1 (2025): 1193-1196.