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Fractional calculus-based PWM rectifier modeling method

A technology of fractional calculus and modeling method, applied in the field of power electronics and electric drive, which can solve the problems of insufficient research, insufficient and insufficient precision.

Inactive Publication Date: 2016-05-25
HENAN POLYTECHNIC UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, since the capacitance and inductance are fractional in nature, it will lead to the inaccurate description of the switching power converter by the integer-order model, which is also contrary to the fractional-order nature of the switching power converter
At present, the research on this aspect is not sufficient, and the research is not deep enough.
The literature "Wang Faqiang, Ma Xikui. Fractional-order modeling and simulation analysis of Boost converters under continuous inductor current mode [J]. Acta Physica Sinica, 2011, 60(7): 1-8" on Boost converters operating under continuous inductor current mode. The converter carried out the establishment and analysis of the fractional-order interval mathematical model and the fractional-order state average model, but did not involve the fractional-order modeling and simulation of the single-phase PWM rectifier

Method used

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  • Fractional calculus-based PWM rectifier modeling method
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  • Fractional calculus-based PWM rectifier modeling method

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Embodiment

[0096] Further illustrate the present invention below in conjunction with accompanying drawing. figure 1 It is a topological structure diagram of the single-phase PWM rectifier of the present invention. figure 1 in, u s is the grid voltage, T 1 , T 2 , T 3 , T 4 is the switching device, r is the equivalent resistance of the internal resistance of the inductor and the switching loss of the system, L is the power supply inductance, C is the DC side capacitance of the single-phase PWM rectifier, R is the DC load, u A is the switching device T 1 The voltage at point A on the lower side, u B is the switching device T 2 Voltage at point B on the lower side, u dc is the voltage across the capacitor C on the DC side, i L is the current flowing through L, i o is the current flowing in the DC load R, i dc is the DC side output current of the single-phase PWM rectifier, i c is the current flowing through the DC side capacitor C.

[0097] Determine the equivalent circuit simu...

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Abstract

The invention discloses a fractional calculus-based PWM rectifier modeling method, and according to the method, a precise mathematic model of a single-phase PWM rectifier can be established on the basis of a fractional calculus theory and an instantaneous power theory defined by Caputo. The method comprises the following steps: firstly determining a voltage equation and a current equation of the single-phase PWM rectifier in a rest frame; defining and establishing a fractional order inductance equation and a fractional order capacitance equation of the single-phase PWM rectifier, and giving an input instantaneous power equation and an output instantaneous power equation of the single-phase PWM rectifier; and finally giving a direct-current component equation and an alternating-current component equation in an input instantaneous power and an output instantaneous power, and verifying the precision of the fractional calculus-based single-phase PWM rectifier fractional order model established on the basis of numerical simulation. According to the method, the fact that the capacitance and inductance are fractional orders in essence is considered in the modeling process, so that the modeling precision of the single-phase PWM rectifier.

Description

technical field [0001] The invention belongs to the technical field of power electronics and electric transmission, and in particular relates to a PWM rectifier modeling method based on fractional calculus. Background technique [0002] Fractional calculus appeared almost at the same time as integer calculus, but compared with integer calculus, fractional calculus developed slowly because it had no practical application background for a long time. In recent years, research results on mathematical modeling of inductance and capacitance have shown that integer-order inductance and capacitance do not exist in practice. Establishing mathematical models of many practical systems based on fractional calculus will be more accurate than establishing mathematical models of these systems based on integer-order calculus, that is, the inductance and capacitance models established based on fractional-order calculus theory can better reflect their electrical characteristics, and also It ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/367
Inventor 韦延方郑征王新良王晓卫孙岩洲肖记军张杏园魏琳
Owner HENAN POLYTECHNIC UNIV
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