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Microsystems, Electronics and Acoustics
ISSN 2523-4447 · e‑ISSN 2523-4455 Open Access · CC BY-SA 4.0
Vol. 23 · Issue 2 · 2018 Apr 30, 2018 Electronic Systems and Signals

Mathematical Model of the Frequency Converter Based on the Resonant Inverter with Pulse-Density Control

HP
Hennadii V. Pavlov Corresponding Національний університет кораблебудування імені адмірала Макарова Ukraine
IV
Iryna L. Vnnychenko Національний університет кораблебудування імені адмірала Макарова Ukraine
Pages30-36 PublishedApr 30, 2018
VOL 23 · ISS 2 · 2018 View issue

Abstract

The article is dedicated to the development of the mathematical model of the resonant frequency converter with pulse-density control in the part of determining the functional of the carrier voltage pulses, which allows calculating the time sequence of the inverter’s control pulses. The authors have determined that the functional here is the dependence of the average value of the carrier voltage pulse of the resonant capacitor on its duration. Its duration, on its turn, depends on the instantaneous filter current value at the beginning of the control pulse for the half-bridge transistors. The analytic expressions for determining the exact and approximate average values of the quasi-sinusoidal voltage pulses at the resonant capacitor during the time interval between two serial control pulses are obtained. Due to the gotten expressions, the error in the application of the approximate model is estimated. Comparing the average value of the carrier resonant voltage pulse with the average value of the desired output voltage during the time interval between two serial control pulses, allowed to obtain the frequency converter pulse-density control law, which considered and compensated the inaccuracy of the approximate value of the chosen functional. To observe the functionality of the frequency converter, which operates according to the designed control law, its load characteristics were built and compared to the characteristics of the converter, which control law used the approximate model but did not consider its inaccuracy. In the case of the resonant current amplitude exceeding 1.2 times over the load current one, the maximum calculating error of the average value of the carrier voltage pulses is 0.01%. This makes possible to simplify the real time calculation of the control pulses sequence by using the approximate average value of the resonant voltage to ensure the hard pattern of the load characteristic in the case of load resistance varying within two orders. The comparison of the frequency converters load characteristics in the cases of various control laws shows the prolonged hard pattern of the load characteristic in the case of considering the inaccuracy of the chosen functional. The research results can be applied in the design of the highly efficient secondary power supplies with improved electromagnetic compatibility with the load and the network. Thus, the received functional of the carrier sinusoidal voltage pulses allows the real time calculation of the control pulses time sequence for the power transistors of the resonant inverter in accordance to the developed pulse-density control law. Ref. 10, fig. 5.

Keywords

References

  1. Shi L., Shan C., Wu X., Zhao N, “Comparison of solid-state frequency converter and rotary frequency converter in 400Hz power system,” in Proc. of International Conference on Electrical Machines and Systems , pp. 1-5, 2011, DOI : 10.1109/ICEMS.2011.6073791
  2. B. Bose, Modern power electronics and AC drives . Prentice-Hall Inc., 738 p., 2002.
  3. A. Pressman, K. Billing, and T. Morey. Switching Power Supply Design, 3rd ed . The McGraw-Hill Companies, 880 p., 2009.
  4. M. Taha, D. Skinner, S. Gami, M. Holme, and G. Raimondi, “Variable frequency to constant frequency converter (VFCFC) for aircraft applications,” International Conference on Power Electronics, Machines and Drives , pp. 235-240, 2002, DOI : 10.1049/cp:20020120
  5. D. Vinnychenko, and N. Nazarova, “Power Converter Adaptive Control System of the Installation for Production of Nanocarbons from Gaseous Hydrocarbons,” in IEEE 38th International Conference on Electronics and Nanotechnology (ELNANO) , Kyiv, pp. 515-520, 2018, DOI : 10.1109/UKRCON.2017.8100307 .
  6. O. M. Yurchenko, V. Ya. Hutsaliuk, P. Yu. Herasymenko, and I. O. Sliesarevskyi, “Model rezonansnoho tranzystornoho invertora napruhy z nyzkochastotnoiu impulsnoiu moduliatsiieiu [Model of resonant transistor voltage inverter with the low-frequency pulse modulation],” Tekhnichna elektrodynamika , no 1, pp. 24 – 30, 2011, URL : http://www.techned.org.ua/article/11-1/st4.pdf
  7. Wang Chien-Ming, and Guan-Chyun Hsich, “A Series-Resonant DC/AC Inverter for Impedance-Load Drives,” IEEE Transactions on power electronics ,. vol. 16., no. 3, pp. 325-334, 2001, DOI : 10.1109/63.923764
  8. G. Pavlov, I. Vinnichenko, and M. Pokrovskiy. “Research of the interrelationship between the frequency converter on the basis of the resonant inverter with nonlinear control power unit parameters and its load,” IEEE First Ukraine Conference on Electrical and Computer Engineering (UKRCON) , Kyiv, pp. 554-559, 2017, DOI: 10.1109/UKRCON.2017.8100300 .
  9. G. V. Pavlov, and I. L. Vinnychenko, “The mathematical model of resonant frequency converter with pulse regulation”, Shipbuilding and Marine Infrastructure , in press.
  10. G. V. Pavlov, A. V. Obrubov, I. L. Vinnichenko, “Nelineinoe upravlenie rezonansnym invertorom preobrazovatelya chastoty [Nonlinear control of the frequency converter resonant inverter],” Pratsi instytutu elektrodynamiky Natsionalnoi akademii nauk Ukrainy , vol. 42, pp. 96-101, 2015.
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