Аналітичний аналіз вихідної напруги регулятора з ШІП під час роботи на активне навантаження
Abstract
UDK 621.3.067
ANALYTICAL ANALYSIS OF OUTPUT VOLTAGE OF REGULATOR WITH SHIP AT WORK ON RESISTIVE LOAD
І. Golodnyi, O. Sanchenko
According to the basic theory study circles periodic non-sinusoidal voltages and currents easier to investigate if the curves are expanded in trigonometric series Euler-Fourier. We know that dear periodic function f (wt), which satisfies the Dirichlet conditions can be described by a number of trigonometric sine and сosine.
Usually periodic function of time in electrical engineering, which include curves of voltage and current transformers, symmetrical relative to the x-axis and the origin. Then the function is displayed in a series that contains no DC component, the even harmonics and cosine.
Aim of paper - improve the quality of the output voltage harmonic semiconductor converters controlled asynchronous electric drive.
Materials and research methods. Analytical studies of the spectral output voltage semiconductor converter with pulse width control was carried out using the theory of electrical circuits sinusoidal and non-sinusoidal periodic current.
Research results. The output voltage of the regulator on the basis of pulse-width converter while working on active load looks like a sine wave with discontinuities.
The function f(wt) = Um sin(ωt) symmetrical about the horizontal axis and the origin, hence no constant coefficients and cosine component and the even harmonics.
In equation to determine the coefficient bn entered angle α opening and switching frequency of transistors k, which provides the spectral analysis of the curves at different values.
According to the research shows that the higher odd harmonic output abuse (9, 11, 19, 21, 29, 31, etc.) occur at frequencies that are multiples of the switching frequency of the transistor key fk = kf1 = 10×50 = 500 Hz, corresponding to range of independent output voltage inverter with pulse-width controlled symmetrical when working on active load.
Conclusions
Based on theoretical studies defined equations to analyze the spectral content of the output voltage of the regulator SHIP, which considered opening angle and frequency transistor switching keys.
According to calculations the higher odd harmonic output abuse (9, 11, 19, 21, 29, 31, etc.) with active load occur at frequencies that are multiples of the frequency of the switching transistor keys (fk = 500 Hz).
References
Zeveka, G. V. Ionkin, P. A., Netusil, A. V., Strachovo, S. V. (1975). Osnovy teoriyi kil [Fundamentals of circuit theory: Textbook for Universities]. Moskow: Energiya, 752.
Holodnyi, I. M., Sanchenko, O. V. (2011). Do pytannya regulyuvannya shvydkosti malopotuzhnogo asynkhronnogo elektropryvoda. [Before issue of regulation of speed low-power asynchronous electric drive]. Naukovyi visnyk Natsionalnoho universytetu bioresursiv i pryrodokorystuvannya Ukrayiny, 166 (4), 64–70.
German-Galkin, S. G. (2002). Sylova elektronika: laboratorni roboty na PK. [Power Electronics: Laboratory work on the PC: [textbook for students universities]. St. Petersburg: CROWN print, 304.
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