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Analysis of Errors in a High Accuracy Sampled-data Stabilising System Operating with a Wide Range of PWM

  • This paper presents a new method of analysing the error of a sampled-data velocity stabilising system with a wide range of pulse width modulation. The analysis is based on multi-channel model obtained as a result of approximation of pulse-modulated signal at the output of a PWM converter. Approximation of piecewise-linear modulation characteristics of each channel has been obtained as a series expansion of Hermite polynomials where the expansion comprises two polynomials of the first and third orders. The transfer function of every channel and a closed-loop system has been obtained using multidimensional Z-transform. The analytical expression of an error under impact of a step input has been derived using a transfer function of the closed-loop system. A dc electric drive has been used as an example of high accuracy sample-data stabilising system to verify and demonstrate the proposed method.

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Document Type:Preprint
Author:Ruslan Zarovskyi, Roustiam Chakirov, Yuriy Vagapov
Parent Title (English):Preprints of the 19th World Congress. The International Federation of Automatic Control. Cape Town, South Africa, August 24-29, 2014
First Page:9241
Last Page:9246
Publication year:2014
Tag:Multidimensional Z-transforms; Nonlinear sampled-data system; Pulse-width modulation; Volterra-Wiener series; dc electric drive
Departments, institutes and facilities:Fachbereich Elektrotechnik, Maschinenbau, Technikjournalismus
Institut für Technik, Ressourcenschonung und Energieeffizienz (TREE)
Dewey Decimal Classification (DDC):6 Technik, Medizin, angewandte Wissenschaften / 62 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
Entry in this database:2015/04/02