The macromodel of transients of a three-phase induction motor in the terms of stator current, rotation rate and loading on the axis is described.
Experimantal data are averaged per an alternating current (AC) period. Regularization of the experimantal data differentiation is demonstrated using cubic smoothing splines. The number of coefficients of macromodel is minimized by reduction of the approximating polynomial. Due to the reduction of macromodel the identification became correct. Adequate behavior of the macromodel has been verified for input signals different from those for which the macromodel has been built. Experimental transients are reproduced by two continuous nonlinear maсromodels of the first order with a relative mean square error less than 1%.
The received macromodel is notable for its low order and high-fidelity output signals.
- B. Robyns, et al., Vector Control of Induction Machines. Desensitisation and Optimisation Through Fuzzy Logic. London, UK: Springer-Verlag, 2012.
- Ya.Matviychuk, Dynamical Systems Mathematical Macromodelling: Theory and Practice. Lviv, Ukraine: Ivan Franko Lviv National University Publishing House, 2000 (Ukrainian)
- P.Stakhiv and I.Vasylchyshyn, “Macromodeling of dynamic processes in asynchronous machines”, Tekhnichna Elektrodynamika, no. 6, pp. 31-35, Kyiv, Ukraine: Institute of Electrodynamics of Ukraine, 2011. (Ukrainian)
- A.Ivachnenko and V.Stepashko, Noise stability of modelling, Кyiv, Ukraine: Naukova dumka, 1985. (Russian)
- A.N.Tikhonov and V.Y.Arsenin, Solutions of Ill-Posed Problems, New York, USA: Wiley, 1977.
- V.V.Ivanov, Methods of Computation on Computers, Guidance. Kyiv, Ukraine: Naukova dumka, 1986. (Russian)
- Carl de Boor, A Practical Guide to Splines, Applied Mathematical Sciences, vol. 27. New York-Heidelberg-Berlin: Springer-Verlag, 1978.