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A Method for Analyzing Inverters Based on Double Fourier Transform

A double Fourier and transform analysis technology, applied in instrumentation, calculation, electrical and digital data processing, etc., can solve problems such as inability to analyze ripple, complex calculation process, and large amount of calculation.

Active Publication Date: 2020-04-28
SOUTH CHINA UNIV OF TECH
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  • Claims
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Problems solved by technology

The above-mentioned existing inverter modeling and analysis methods have disadvantages such as large amount of calculation, complicated calculation process, inability to obtain the expression of the steady-state periodic solution of the circuit, and inability to analyze the ripple.

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  • A Method for Analyzing Inverters Based on Double Fourier Transform
  • A Method for Analyzing Inverters Based on Double Fourier Transform
  • A Method for Analyzing Inverters Based on Double Fourier Transform

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Embodiment Construction

[0052] The present invention will be further described below in conjunction with specific examples.

[0053] The method for analyzing an inverter based on double Fourier transform provided in this embodiment specifically includes the following steps:

[0054] S1. Establish the nonlinear mathematical model of the inverter described by the differential equation

[0055] G 1 (p)x+G 2 (p)f=u (1)

[0056] In the above formula, x=[i L v C ] T Represents the state variable vector of the system, the superscript T represents matrix transposition, i L Indicates the instantaneous value of the inductor current, v C Represents the instantaneous value of the capacitor voltage, u represents the input voltage vector; p represents the differential operator p=d / dt, G 1 (p), G 2 (p) is a coefficient matrix; f=δe is a nonlinear vector function, δ is a switch function representing the on-off state of the controlled switch in the inverter, when the controlled switch is turned on, δ=1, whe...

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Abstract

The invention discloses a method for analyzing an inverter on the basis of dual fourier transform. The method comprises the following steps: utilizing an equivalent small parameter method to convert the complex solution for the stable state periodic solution of state variable of the inverter into the solution for a main oscillating component and all-order allowance amplitude; utilizing a harmonic balance method to solve the main oscillating component and all-order allowance amplitude; and finally, adding the main oscillating component with the all-order allowance amplitude, thereby acquiring an analytical expression for the stable state periodic solution of the inverter. According to the method provided by the invention, the stable state periodic solution of the state variable of the inverter can be quickly acquired.

Description

technical field [0001] The invention relates to the field of modeling and analysis of inverters, in particular to a method for analyzing inverters based on double Fourier transform. Background technique [0002] The commonly used modeling and analysis methods for inverters in the past include: models based on state space averaging method, discrete iterative mapping model, piecewise linear model of simplified circuit method, switching network averaging method model and extended description function analysis method model. [0003] The state-space averaging method averages the time by using the weight of the switch duty cycle, and then obtains a unified equivalent circuit model after small-signal disturbance and linearization; reference 1 (Middlebrook, R.D, A general unified approach to modeling switching-converter power stages[J], International Journal of Electronics, 1977, 42(6):521-550). The discrete iterative mapping model is a method to iteratively solve the circuit by ca...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/3308
CPCG06F30/367G06F30/398
Inventor 陈艳峰程旭张波丘东元
Owner SOUTH CHINA UNIV OF TECH
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