Науковий вісник НГУ

Design of optimal high-order speed controller

• 
• 

User Rating:  / 1

PoorBest 

Details

Category: Electrical complexes and systems

Last Updated on 16 July 2014

Published on 21 March 2014

Hits: 4284

Authors:

O.O. Aziukovskyi, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Senior Lecturer of the Department of Electric Drive, Dnipropetrovsk, Ukraine.

A.V. Bakutin, State Higher Educational Institution “National Mining University”, Postgraduate Student of the Department of Electric Drive, Dnipropetrovsk, Ukraine.

Abstract:

Purpose. To design the optimal squirrel-cage motor speed control device with high order transfer function.

Methodology. For the estimation of the optimal speed controller we have used the quadratic integral performance criterion, which allows obtaining the analytical solution for the synthesis problem. The optimization problem has been solved by minimization of the functional, which reflects the requirements and limitations of the electromechanical system.

Findings. The transfer functions of the system with respect to the control signal and the superimposed noise have been obtained. The structure and parameters of the correction link transfer functions in the direct and feedback channels have been defined. Using mathematical simulation the capability of the constructed control device to design task has been confirmed.

Originality. To define parameters of the correction link in the direct and feedback channels the analytic expressions have been obtained.

Practical value. For the control device design the choice of the quality criteria and the control system limitations have been justified. For multi criteria optimization of the induction motor speed control the acceptable group of devices, within which the best option for necessary quality criteria is searched, must be synthesized. The calculated controller with maximum difficulty defines the upper bound of the acceptable group of control devices. For the subsequent synthesis of the optimal control device for the electromechanical system the controller with minimum difficulty must be estimated. Multicriteria analysis of the control devices with predetermined transfer function order within the acceptable group of devices must be carried out.

References:

1. Садовой А.В. Системы оптимального управления прецизионными електроприводами / А.В. Садовой, Б.В. Сухинин, Ю.В. Сохина – К.: ИСИМО, 1996. – 298 с.

Sadovoy, A.V. (1996), Sistemy opyimalnogo upravleniya pretsezionnymi elektroprivodami [Optimal Control Systems of Precision Electric Drive], ISIMO, Kiev, Ukraine

2. Зотов М.Г. Многокритериальное конструирование систем автоматического управления / Зотов М.Г. – М.: БИНОМ. Лаборатория знаний, 2004. – 375 с.

Zotov, M.G. (2004), Mnogokriterialnoye konstruirovaniye system avtomaticheskogo upravleniya [Multicriteria Design of Automatic Control Systems], BINOM. Laboratoriya znaniy, Moscow, Russia.

3. Щур І.З. Оптимальне за нагріванням керування позиційним електроприводом оптичного телескопа / І.З. Щур,
В.М. Журкіна // Вісник Кременчуцького державного політехнічного університету. Наукові праці КДПУ. – 2004. – № 4 (27) – С. 51–54.

Shchur, I.Z. (2004), “Optimal heating control of the optical telescope positional electric drive”, Transactions of Kremenchuk State Polytechnic University, no. 4(27), pp. 51–54.

4. Кудин В.Ф., Аналитическое конструирование субоптимальных регуляторов для многомерных динамических систем: тези допов. XIII міжн. наук.-техн. конф. (25–28 вересня 2006р.); розд. Автоматика / В.Ф. Кудін, А.В. Торопов – Вінниця, 2006. – С. 30–31.

Kudin, V.F. (2006), “Analytical design of suboptimal controllers for multi-dimensional dynamical systems”, Proc. of the 8th Int. Scientific-Technical Conference, section Automatics, Vinnytsia, September 25-28, 2006, pp. 30–31.

5. Волянский Р.С. Синтез оптимальной системы управления нелинейным объектом / Р.С. Волянский, А.В. Садовой // Вісник Кременчуцького Державного Політехнічного Університету: Наукові Праці КДПУ. – 2000. –Вип. 2(9). – С. 20–22.

Volyanskiy R.S. (2000), “Synthesis of optimal control system for nonlinear object”, Transactions of Kremenchuk State Polytechnic University, no. 2(9), pp. 20–22.

6. Бешта О.С. Система компенсації пульсацій моменту в електроприводі на базі синхронного двигуна із вбудованими постійними магнітами / О.С. Бешта, С.Г. Фурса, А.І. Прохоров // Науковий вісник НГУ. –2011. – №. 2. – С. 120–125.

Beshta, O.S. (2011),“Torque ripple compensation system of electric drive in interior permanent magnet synchronous motor”, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 2, pp. 120–125.

7. Бешта О.С. Принципи підвищення енергоефективності виробничих комплексів геотехнічних систем / О.С. Бешта // Науковий вісник НГУ. – 2011. – №. 6. – С. 99–106.

Beshta, O.S. (2011),“Principles of geotechnical system production complexes power efficiency improvement”, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 6, pp. 99–106.

8. Bose, Bimal K. (2001), Modern Power Electronics and AC Drives, Prentice Hall PTR, Upper Saddle River.

2014_1_aziukovskyi
2014-07-16  323.22 KB  981

• < Prev