A Generalized Analytic Mathematical Model of the Electromechanical Converter as a Control Object
DOI:
https://doi.org/10.14529/power160409Keywords:
mathematical model, generalized electromechanical converter, control algorithmsAbstract
The paper proposes an analytical generalized mathematical model of the electromechanical converter as
a control object, which allows the synthesis of laws of control in the current circuits and of the AC drive torque. It offers a system of model equations combining winding method and energetic method for obtaining electromagnetic coordinates of electric drive (MMF, EMF, electromagnetic torque). It gives recommendations for development of PC-based computational algorithms. The results of the simulation are specific electromagnetic torques of various electromechanical converters, coil EMFs, rotor speed and current frequency in windings. This model is recommended at the first stage of estimate calculation with the following assumptions: electromechanical converter is not saturated, steel magnetic conductivity is infinite, and there are no scattering flows. More accurate magnetic field calculations require numerical models based on the Maxwell equations and finite element method.
References
Kopylov I.P. Matematicheskoe modelirovanie elektricheskikh mashin [Mathematical Modeling of Elec-trical Machines]. Moscow, Vysshaya Shkola Publ., 2000. 148 p.
Kopylov I.P. Elektricheskie mashiny [Electrical Machines]. Moscow, Vysshaya Shkola Publ., 2000. 607 p.
Usynin Yu.S., Shishkov A.N., Gorozhankin A.N., Bychkov A.E., Belousov E.V., Zhuravlev A.M., Sychev D.A. [Electric Drive of Active Trailer]. Bulletin of the South Ural State University. Ser. Power Engi-neering, 2013, vol. 13, no. 2, pp. 106–113. (in Russ.)
Gorozhankin A., Shishkov A., Belousov E., Sychev D., Kinas S. A Direct Torque Control System for
Synchronous Electric Drivers. Russian Electrical Engineering, 2014. vol. 85, iss. 10. pp. 616–618. DOI: 10.3103/S106837121410006X
Grigoryev M.A. Sinkhronnyy reaktivnyy elektroprivod s nezavisimym upravleniem po kanalu vozbuzhdeniya i predel'nymi kharakteristikami po bystrodeystviyu i peregruzochnym sposobnostyam. Dis Doct. Tekhn Nauk. [Reluctance Drive with Independent Control via Excitation Channel, Limit Speed and Overload Capacity Properties], D.Sc. in Engineering Thesis. Chelyabinsk, 2013. 325 p.
Voldek A.I. Elektricheskie mashiny [Electrical Machines]. 2nd ed. St. Petersburg Publ., 1978. 832 p.
Usynin Yu.S., Grigorew M.A., Vinogradov K.M. [Drive and Generators with Field-regulated Reluc-tance Machine]. Electrical Technology Russia, 2007, no. 3, pp. 21–26. (in Russ.)
Sidorov O.Yu., Sarapulov F.N., Sarapulov S.F. Metody konechnykh elementov i konechnykh raznostey v elektromekhanike i elektrotekhnologii [Methods of Finite Elements and Differences in Electrical Engineering and Electrotechnology]. Moscow, Energoatomizdat Publ., 2010. 331 p.
Ivanov-Smolenskiy A.V. Elektricheskie mashiny [Electrical Machines]. 3nd ed. Moscow, MEI Publ., 2006. 652 p.
Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov [Mathematics Handbook for Scientists and Engineers]. Moscow, Nauka Publ. 1968. 720 p.
