A.A. Bisov1, A.A. Chumachenko2, S.A. Bronov3, N.V. Popov4, M.A. Vaiman5, D.D. Krivova6, P.V. Avlasko7, S.Yu. Pichkovskaya8, A.I. Nuyaksheva9

1, 2, 4-9 Joint Stock Company «Scientific production enterprise «Radiosviaz» (Krasnoyarsk, Russia) 3, 5 FSBI of HE Krasnoyarsk State Agrarian University (Krasnoyarsk, Russia) 6-8 FSAEI of HE Siberian Federal University (Krasnoyarsk, Russia)

1 glutamine@mail.ru, 2 maijorishe@mail.ru, 3 sa_bronov@mail.ru, 4 lestrange01@inbox.ru, 5 maxsonix@yandex.com, 6 mddarja@gmail.com, 7 pavlasko@sfu-kras.ru, 8 spichkovskaya@mail.ru, 9 goccanna@mail.ru

Mathematical models of a doubly‑fed inductor motor are obtained for two connection schemes: with separately connected windings and with a star (Y) connection. Unlike widely used models based on the generalized electromechanical energy conversion theory, the proposed models more closely reflect real machines by explicitly accounting for actual winding parameters and the effect of electromagnetic reduction (electromagnetic gearing), which is often neutralized in conventional formulations. The real star‑connection topology is taken into account. Instead of lengthy manual derivations, the symbolic processor of Mathcad 14 is used: transformation algorithms and auxiliary routines are developed to build the model for separately connected windings, and then transformation matrices are applied to derive the star‑connected case. The model‑building workflow in Mathcad 14 is illustrated and key code fragments are provided. The models were tested in motor‑control modes by varying the supply frequency and a controllable phase shift of the feeding voltages. The calculated results generally agree with the processes observed on an experimental setup.

Bisov A.A., Chumachenko A.A., Bronov S.A., Popov N.V., Vaiman M.A., Krivova D.D., Avlasko P.V., Pichkovskaya S.Yu., Nuyaksheva A.I. A doubly‑fed inductor motor model for satellite radio ‑navigation systems. Dynamics of complex systems. 2026. V. 20. № 1. P. 89−100. DOI: 10.18127/j19997493-202601-09 (in Russian).

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