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Using Mathcad To Solve Polynomial Nonlinear Complex Induction Machine Equations

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2002 Annual Conference


Montreal, Canada

Publication Date

June 16, 2002

Start Date

June 16, 2002

End Date

June 19, 2002



Conference Session

Energy Programs and Software Tools

Page Count


Page Numbers

7.1262.1 - 7.1262.7

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Paper Authors

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Magedy Salama

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M Kazerani

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Khaled Nigim

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NOTE: The first page of text has been automatically extracted and included below in lieu of an abstract

Main Menu Session # 1433 (Energy Programs and software Tools)

Using MathCAD To Solve Polynomial nonlinear Complex Induction Machine Equations K A. Nigim M. M. Salama M. Kazerani,

University of Waterloo Electrical and Computer Department Waterloo, ON. N2L 3G1 Canada


This paper describes the use of MathCAD’s “Given and Find” built in functions to solve nth order nonlinear complex induction machine equations. Various energy-capturing schemes use machine models that incorporate nonlinear elements with complex mathematical formulas that need numerical computation. The use of general-purpose mathematical software GPMS, such as MathCAD, is advancement in evaluating unknown variables and obtaining simulation results. By following the described procedures described in this paper, both graduate and undergraduate students enhance their problem- solving abilities with minimal programming skills. By using example, the paper presents an approach to evaluate the polynomial variables required to evaluate the performance of self-excited induction generator SEIG under variable excitation and loading conditions. SEIG systems are proposed for energy capturing to supply power to remote areas from renewable energy resources such as wind and hydro.


It quite possible that the lack of interaction between traditional course syllabus and mathematical or simulation tools has resulted in a fall of student enrollment in the courses classified as heavy current or power engineering in comparison with computer based courses. With the availability of mathematical and engineering simulation software, this trend can be averted. Starting from the use of dedicated software incorporated in the textbook package [1] to navigated hyperlink data sites [2], the tutor can introduce the course material in such a way that student interaction is ensured. However, the uses of dedicated software packages are so specific that they are normally confined to the assigned dedicated objectives and lack the interaction between the student and the software. The use of dedicated software is probably acceptable for senior or graduate level, when the students learns industrial problem solving techniques. The drawback of using dedicated programs as a learning and research tool is that the student requires intensive training to familiarize him with the programming algorithm. A second effort is required to develop the link between the software built in-functions and the physical application. If the link is not established, the student develops a feeling that the theory is not needed and problems can be simulated without sufficient background knowledge.

“Proceedings of the 2002 American Society for Engineering Education Annual Conference & Exposition Copyright 2002, American Society for Engineering Education”

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Salama, M., & Kazerani, M., & Nigim, K. (2002, June), Using Mathcad To Solve Polynomial Nonlinear Complex Induction Machine Equations Paper presented at 2002 Annual Conference, Montreal, Canada.

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