Fractional order single-phase inverter modeling method based on state space averaging method

A state-space average, single-phase inverter technology, applied in the direction of instruments, electrical digital data processing, special data processing applications, etc., can solve the problem of fractional-order characteristics of single-phase inverter system Deviation and other issues, to achieve the effect of small amount of calculation, fast and accurate

Inactive Publication Date: 2019-08-23
NANJING UNIV OF SCI & TECH
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Problems solved by technology

[0003] At present, the integer-order model of the single-phase inverter is usually established by using the faster and simpler state-space averaging method, but it does not take into account the fractional-order characteristics of the single-phase inverter system, so it has certain differences with the actual inverter system. deviation

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  • Fractional order single-phase inverter modeling method based on state space averaging method
  • Fractional order single-phase inverter modeling method based on state space averaging method
  • Fractional order single-phase inverter modeling method based on state space averaging method

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Embodiment

[0029] figure 1 It is the schematic diagram of the fractional-order single-phase inverter system circuit, the order α of the fractional-order capacitor is 0.8, the capacitance value C=2.7μF, the order β of the fractional-order inductor is 0.8, the inductance value L=3.3mH, and the resonance frequency is 1.687kHz, equivalent resistance r=0.5Ω, load resistance R=10Ω, DC bus voltage V d =400V, the frequency of the modulated sine wave is the power frequency (50Hz), and the modulation ratio is 0.5, because the ripple caused by the switching frequency is ignored when modeling with the state space averaging method, so in order to better compare the model Accuracy, here the switching frequency needs to be larger to reduce ripple, and the switching frequency is 250kHz.

[0030] The comparison and analysis of the traditional integer order model, fractional order model and actual system can be obtained figure 2 and image 3 The waveform diagram shown.

[0031] figure 2 It is the o...

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Abstract

The invention discloses a fractional order single-phase inverter modeling method based on a state space averaging method. The fractional order single-phase inverter modeling method comprises the following steps: establishing a mathematical model of a fractional order capacitor and a fractional order inductor by utilizing a fractional order calculus theory; and obtaining a fractional order single-phase inverter model by using a state space averaging method and using the fractional order mathematical model of each element obtained in the previous step. According to the method, a model capable ofaccurately describing the characteristics of an actual fractional order single-phase inverter system can be rapidly obtained. Due to the fact that the single-phase inverter system is relatively widein application and the single-phase inverter system in practice is a fractional order system, modeling and analysis can be rapidly and accurately carried out on the actual system.

Description

technical field [0001] The invention relates to a single-phase inverter modeling technology, in particular to a fractional-order single-phase inverter modeling method based on a state space average method. Background technique [0002] Inverter is an important power electronic device, and it is of great significance to establish an accurate inverter model for the research and precise analysis of its actual system. In the past, integer-order calculus theory was used when analyzing the electrical characteristics of capacitors and inductors. However, a large number of studies at home and abroad have shown that the electrical properties of capacitors and inductors are fractional in nature. Capacitors and inductors are the core parts of the inverter output low-pass filter. Considering the fractional-order characteristics of capacitors and inductors, the inverter system is a fractional-order system, and its model is also a fractional-order model. [0003] At present, the integer...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H02M7/5387G06F17/50
CPCH02M7/5387G06F30/367
Inventor 吕广强王宏宇
Owner NANJING UNIV OF SCI & TECH
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