A preparation method of fractional capacitive element of 0 to 1 order power stage
A capacitive element and fractional-order technology, which is applied in the field of preparation of 0 to 1-order power-stage fractional-order capacitive elements, and can solve problems such as no reports of fractional-order capacitive elements.
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Embodiment 1
[0039] See figure 1 , figure 1 It is the schematic diagram of the DC-DC Boost converter of the present embodiment 1, wherein the Boost converter input voltage E=12V, switching frequency fs=25kHz, duty cycle 0.4, inductance L=477μH, load R=40Ω, fractional order capacitance 0.9 order 10μF capacitor. The specific implementation steps of the method provided by the invention are as follows:
[0040] S1. Using a partial reactance approximation method proposed in Document 5, at the current switching frequency, when the approximation error is within 2dB, design a 0.9-order 10μF capacitor. The specific conditions are as follows:
[0041] S11. According to the impedance characteristics of the ideal fractional capacitor, write the impedance function equation:
[0042]
[0043] S12. From the impedance function, the s-domain transfer function of the ideal fractional capacitor can be written:
[0044]
[0045] S13, get the approximation frequency band as (10 -2 , 10 7 )rad / s, N=...
Embodiment 2
[0067] In this embodiment, the DC-DC Boost converter in Embodiment 1 is still used, and the fractional-order capacitor is changed to a 0.8-order 10 μF capacitor. As shown in the figure, the input voltage E=12V of the Boost converter is adopted, the switching frequency fs=25kHz, the duty ratio is 0.4, the inductance L=477μH, and the load R=40Ω. The specific implementation steps of the method provided by the invention are as follows:
[0068] S1. Using a partial reactance approximation method proposed in Document 5, at the current switching frequency, when the approximation error is within 2dB, design a 0.8-order 10μF capacitor. The specific conditions are as follows:
[0069] S11. According to the impedance characteristics of the ideal fractional capacitor, write the impedance function equation:
[0070]
[0071] S12. From the impedance function, the s-domain transfer function of the ideal fractional capacitor can be written:
[0072]
[0073] S13, get the approximation...
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