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Method for designing fractional-order single-tuning LC filter

An LC filter and fractional-order technology, applied in harmonic reduction devices and AC networks to reduce harmonics/ripples, etc., to achieve accurate component parameter values, flexible design, and increased degrees of freedom

Active Publication Date: 2016-06-01
DALIAN UNIV OF TECH
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  • Abstract
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Problems solved by technology

Therefore, it is more accurate and flexible to design a single-tuned LC filter using the fractional-order model of capacitance and inductance, which cannot be achieved by traditional integer-order design methods.

Method used

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  • Method for designing fractional-order single-tuning LC filter
  • Method for designing fractional-order single-tuning LC filter
  • Method for designing fractional-order single-tuning LC filter

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Embodiment Construction

[0022] specific implementation plan

[0023] The specific embodiments of the present invention will be described in detail below in combination with the accompanying drawings and the technical solutions of the description.

[0024] 1. Fractional series RLC circuit

[0025] The single-tuned LC filter is a filter device composed of filter capacitors, reactors and resistors in series, connected in parallel with the harmonic source, and plays the role of filtering harmonics and reactive power compensation. When the capacitance and inductance in the circuit are fractional-order models, the filter becomes a fractional-order single-tuned LC filter, and α is the fractional order of the circuit, figure 1 Shown is the circuit schematic of a single tuned filter.

[0026] The impedance forms of capacitance and inductance in the circuit are:

[0027] Z C = 1 ω α ...

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Abstract

The invention proposes a method for designing a single-tuning LC filter by using a fractional-order model of a capacitor and an inductor, belonging to the field of design of a passive filter. Accordingly to the method, firstly, the fractional-order model of the capacitor and the inductor is analyzed, and a fractional-order impedance mode of the capacitor and the inductor is proposed; secondly, the impedance frequency characteristics of a circuit under different fractional orders are analyzed according to an impedance mode of a series circuit; and finally, a capacitance value, an inductance value and a resistance value in the single-tuning LC filter are analyzed by taking minimum capacitance installation capacity and optimal tuning acutance Q value of the circuit as targets, and the obtained admittance track of the single-turning LC filter is more abundant and is not only a semi circle under an integer order condition, and the impedance frequency characteristic of the designed LC filter is more accurate compared with the condition of integer order. With the addition of the fractional order, the design of the filter is more flexible, and moreover, the method has guidance significance for that more fractional-order devices are widely used for filter design.

Description

technical field [0001] The invention provides a method for designing a fractional-order single-tuned LC filter, which belongs to the field of passive filter design. Background technique [0002] Because of the advantages of low cost, large capacity, and simple structure, passive power filters have become the main means of dealing with power harmonic problems. In the design method of passive filters, the determination and optimization of LC component parameters is the key. There have been many design methods for LC parameters in passive filters, but the design methods currently proposed are based on capacitance and inductance. The integer-order model is proposed. [0003] The results of research on the mathematical models of actual capacitance and inductance show that: the actual capacitance and inductance are fractional in nature, but the fractional order is very close to 1. Therefore, the design of the fractional-order single-tuned LC filter is more in line with the essen...

Claims

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Application Information

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IPC IPC(8): H02J3/01
CPCH02J3/01Y02E40/40
Inventor 王喆李冠林陈希有牟宪民孙恩泽
Owner DALIAN UNIV OF TECH
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