MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS

Sonal Nanasaheb Mhase; Ashwini Vishal Aher; Dipak Vijay Pathare; Shubham Rajendra Game; Mandakini Radhu Dhavale

MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS

January 2024

Vol-10, Issue-1

Paper ID: 22404

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Electrical Engineering, Mathematics

Keywords

Electrical network connection Maxwell’s power principle Parallel sum Positive definite matrix Positive operator

Abstract

In this paper, we survey the role of mathematics in electrical network connections. We discuss the behavior of current flows, voltages and impedances mainly for series-parallel networks. In both one-port and multiport electrical networks, the currents through these networks are governed by Maxwell’s power principle. The joint impedances of the networks, given in terms of series sum and parallel sum, satisfy the series-parallel inequality. An abstract idea can be formulated in functional analysis aspect in which any network connection is viewed to be a binary operation for positive operators satisfying certain algebraic, order and topological properties.

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Author Information

#	Name	Institute / Affiliation
1	Sonal Nanasaheb Mhase	P. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
2	Ashwini Vishal Aher	P. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
3	Dipak Vijay Pathare	P. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
4	Shubham Rajendra Game	P. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
5	Mandakini Radhu Dhavale	P. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.

How to Cite

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APA Style

Mhase, Sonal Nanasaheb, Aher, Ashwini Vishal, Pathare, Dipak Vijay, Game, Shubham Rajendra, & Dhavale, Mandakini Radhu (2024). MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS. International Journal of Advance Research and Innovative Ideas In Education, 10(1), 148-153.

MLA Style

Mhase, Sonal Nanasaheb, et al. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal of Advance Research and Innovative Ideas In Education, vol. 10, no. 1, 2024, pp. 148-153.

IEEE Style

Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale, "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS," International Journal of Advance Research and Innovative Ideas In Education, vol. 10, no. 1, pp. 148-153, 2024.

Vancouver Style

Mhase Sonal Nanasaheb, Aher Ashwini Vishal, Pathare Dipak Vijay, Game Shubham Rajendra, Dhavale Mandakini Radhu. MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS. International Journal of Advance Research and Innovative Ideas In Education. 2024;10(1):148-153.

Harvard Style

Mhase, Sonal Nanasaheb, Aher, Ashwini Vishal, Pathare, Dipak Vijay, Game, Shubham Rajendra, & Dhavale, Mandakini Radhu (2024) 'MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS', International Journal of Advance Research and Innovative Ideas In Education, 10(1), pp. 148-153.

Chicago Style

Mhase, Sonal Nanasaheb, et al. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal of Advance Research and Innovative Ideas In Education 10, no. 1 (2024): 148-153.

Turabian Style

Mhase, Sonal Nanasaheb, et al. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal of Advance Research and Innovative Ideas In Education 10, no. 1 (2024): 148-153.