Abstract
The sinusoidal pulse-frequency modulation application in autonomous voltage inverters (AVI) instead of sinusoidal pulse-width modulation will reduce dynamic losses in semiconductor switches. The purpose of the study the presented in the article is the development and mathematical modeling of an alternative type modulation (the so-called pulse-frequency modulation), which makes it possible to reduce dynamic losses in semiconductor switches. To analyze and compare the energy dependences of autonomous voltage inverters (AVI) with pulse width modulation (PWM) and pulse frequency modulation (PFM), the article uses mathematical modeling methods in the Matlab / Simulink environment. In the Matlab / Simulink environment, an AVI model with a sinusoidal PFM has been developed, which is set in an analog-digital way. In PFM, the pulse duration remains constant while the pulse repetition periods are variable and change sinusoidally. The obtained diagrams of an autonomous voltage inverter with PFM showed that the modulation frequency at the half-period edges of the output pulse voltage is 2 times lower than in the middle of the output pulse voltage half-periods. As a result, the dynamic losses in the IGBT modules of an autonomous voltage inverter with PFM will be significantly lower than in a similar circuit with PWM. Analytical expressions describing static and dynamic power losses in power semiconductor diodes and transistors are also given. By the method of polynomial approximation of the power characteristics of IGBT transistors, mathematical expressions are obtained that describe the dependences Uce (Ic), UF(IF), Eon (Ic), Eoff (Ic), Erec (Ic). On the basis of the obtained expressions in the Matlab / Simulimk environment, a block for calculating static and dynamic power losses has been developed. The mathematical models of AVI with PFM and PWM have been developed in the Matlab / Simulink environment using blocks from the SimPowerSystem library. The PFM applicatio instead of PWM makes it possible to increase the AVI efficiency.
Keywords
Autonomous voltage inverter, pulse-frequency modulation, pulse-width modulation, simulation, dynamic losses, approximation, efficiency.
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