Application of higher order forms for the description of electromechanical energy converters

• Autorzy: Sobczyk T. J.
• Języki publikacji: EN

Abstrakty

EN

The purpose of that paper is to develop of unified equations of electromechanical energy converters accounting for the magnetic non-linearity of the main magnetic circuit of a converter. The concept of applying higher order forms of winding currents for the description of the co-energy function is introduced in order to derive the structure of converter equations via mathematical analysis. Also, another concept of equivalent magnetizing currents is applied to determine the higher order forms for selected converters designs. The structure of circuital equations for converters with multiple windings has been unified by means of the introduction of matrices of dynamic and nonlinear inductances following the higher order forms of the co-energy function.

Słowa kluczowe

EN

electromechanical converters; co-energy function; higher order forms; magnetizing current; non-linear inductances; dynamic inductances

PL

przetwornik elektromechaniczny; funkcja koenergii; prąd magnesujący; indukcyjność nieliniowa; indukcyjność dynamiczna

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2011
• Tom: Vol. 60, nr 1
• Strony: 67--75
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sobczyk T. J.

• Institute on Electromechanical Energy Conversion, Cracow University of Technology, Warszawska 24, 31-155 Kraków,

Bibliografia

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• [2] Brown J.E., Kovacs K.P., Vas P., A method of including effects of saturation in the generalized equation of AC machines. IEEE Transactions on PAS 101: 96-103 (1982).
• [3] Nehl T.W., Fouad F.A., Demerdash N.A., Determination of saturated values of rotating machinery incremental and apparent inductances by an energy perturbation method. IEEE Transactions on PAS 101: 4441-4451 (1982).
• [4] Vas P., Hallenius K.E., Brown J.E., Cross-saturation in smooth air-gap electrical machines. IEEE Transactions on Energy Conversion 1(1) (1986).
• [5] Boldea I., Nasar S.A., Unified treatment of core losses and saturation in the orthogonal-axis model of electrical machines. IEE Proceedings B 134: 355-363 (1987).
• [6] Sobczyk T.J., An Energy-Based Approach to Modelling the Magnetic Non-Linearity in AC Machines. Archives of Electrical Engineering, PWN, Warszawa 48 (1999); Part I – General formulas for the co-energy, linked fluxes and inductances. Bull 1-2: 219-229; Part II – General equations of AC machines accounting for saturation due to the main MMF harmonic. Bull 3: 279-294.
• [7] Sobczyk T.J., Properties of the co-energy function for AC machines with non-linear magnetic circuit. Periodica Polytechnica, Ser. El. Eng. TU Budapest 45(4) 1-11 (2002).
• [8] Sobczyk T.J., Methodological aspects of mathematical modelling of induction machines. (In Polish), WNT Publisher, Warsaw (2004), Chapters 3 & 5.
• [9] El Serafi A.M., Kar N.C., Methods for determining the intermediate-axis saturation characteristics of salient-pole synchronous machines from the measurement d-axis characteristics. IEEE Transactions on Energy Conversion 20(1): 88-97 (2005).