CN109980933B - Boost circuit magnetic core direct current bias coefficient calculation method - Google Patents
Boost circuit magnetic core direct current bias coefficient calculation method Download PDFInfo
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- CN109980933B CN109980933B CN201910287013.4A CN201910287013A CN109980933B CN 109980933 B CN109980933 B CN 109980933B CN 201910287013 A CN201910287013 A CN 201910287013A CN 109980933 B CN109980933 B CN 109980933B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M3/00—Conversion of dc power input into dc power output
- H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
- H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
- H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators
- H02M3/158—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators including plural semiconductor devices as final control devices for a single load
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Abstract
The invention discloses a method for calculating a direct current bias coefficient of a magnetic core of a Boost circuit, which is used for calculating the direct current bias coefficient change rule of the magnetic core when the duty ratio of a Boost converter is changed by analyzing the working principle of a Boost converter circuit under the condition of the flux density change when the duty ratio D is 0.5. The method has the advantages of clear physical concept and simple calculation process, and can effectively predict the direct current bias coefficient of the magnetic core material in the output inductor of the Boost converter under the conditions of different duty ratios.
Description
Technical Field
The invention relates to a method for calculating a direct current bias coefficient of a magnetic core of a Boost circuit, in particular to a method for calculating the direct current bias coefficient under the conditions of different duty ratios.
Background
As the operating frequencies of inductors and transformers get higher and higher, ferrite losses become a major limiting factor in their engineering design. The magnetic core loss is extremely difficult to model because the operating conditions such as magnetic flux density, frequency, duty cycle, temperature, excitation voltage, and dc bias all have a direct effect on the power loss of the magnetic element.
In practical applications of core loss prediction, the widely used is the SteinMetz (SE) equation based on experimental data fitting. The classical SE equation fits the loss values of the magnetic core material under the condition of sinusoidal excitation at different frequencies and magnetic flux densities through three coefficients, and has the advantages of few parameters and simplicity in application. But since the fitted SE data needs to be collected under a sinusoidal flux density excitation condition with zero dc bias, it is only valid under ac flux density excitation alone. However, the excitation experienced by the magnetic elements in most switching converters is a square wave with a varying duty cycle and may carry a direct current. To solve the problems of the SE equation, many scholars propose a stelmz equation modification model such as MSE, GSE, iGSE, RGSE, etc. to analyze the core loss under non-sinusoidal excitation conditions. In addition, the SE equation only characterizes frequency and does not take into account the rate of flux density change, so it can provide an accurate loss estimate only in the case of sinusoids within a certain range of flux density, frequency and temperature. Therefore, for the magnetic element under the actual complex working condition, the loss value predicted by the SE equation cannot meet the requirement.
Disclosure of Invention
The invention aims to overcome the technical defects and provides a method for calculating the direct current bias coefficient of the magnetic core of the Boost circuit, which is used for calculating the direct current bias coefficient change rule of the magnetic core when the duty ratio of the Boost converter is changed by analyzing the working principle of the circuit of the Boost converter under the condition of the magnetic flux density change when the duty ratio D is 0.5, has simple calculation process and can effectively predict the direct current bias coefficient of the magnetic core material in the output inductor of the Boost converter under the condition of different duty ratios.
In order to achieve the purpose of the invention, the invention adopts the technical scheme that: a method for calculating a direct current bias coefficient of a magnetic core of a Boost circuit predicts the direct current bias coefficient change of different duty ratios by using sine loss data under the condition of determining the working frequency and the flux density variation of a Boost converter, and comprises the following specific steps:
(1) determining the duty ratio range of the magnetic core according to the input voltage and the output voltage, and calculating the flux density variation B of the Boost converter when the duty ratio is 0.5pp；
(2) According to the frequency f and the flux density variation B determined by the Boost converter when D is 0.5ppAnd calculating direct current bias coefficients under different duty ratios according to the working principle of the Boost converter to obtain the direct current bias coefficient change rule of the Boost converter under different duty ratios.
Further, in the step (1),
the duty ratio D of the Boost converter is as follows: D-1-VI/VO；
Wherein, VIFor input voltage, VOIs the output voltage.
Further, in the step (1), the Boost converter magnetic flux density variation BppComprises the following steps:
wherein T is a period, VOFor output voltage, N is the number of turns of the coil, AeThe cross-sectional area of the magnetic core.
Further, in the step (2), the direct current bias coefficient B of the Boost converter under different duty ratiosDCComprises the following steps:
further, the magnetic core is a ferrite soft magnetic core.
The invention has the beneficial effects that: aiming at the problems that the magnetic core loss under the direct current bias condition cannot be predicted by a traditional magnetic loss model and the like, the calculation method provided by the invention is combined with a physical mechanism generated by the magnetic core loss and the working characteristics of a Boost converter circuit, and the direct current bias coefficient calculation method of the power inductor of the Buck converter under different duty ratios is obtained by analyzing factors influencing direct current bias, so that the physical concept is clear, the calculation process is simple, and the direct current bias coefficient of the magnetic core material in the output inductor of the Boost converter under different duty ratios can be effectively predicted.
Drawings
Fig. 1 is a schematic diagram of a Boost converter.
Fig. 2 is a Boost converter control timing diagram.
Fig. 3 is a direct current bias coefficient change curve of the Boost converter along with the change of the duty ratio.
Detailed Description
In order to make the content of the present invention more clearly understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention.
Boost converter as shown in fig. 1When Q1 is turned on, the flux variation is:
when Q1 is off, the flux change is:
the current change of the core inductance is shown in FIG. 2, Iav.inComprises the following steps: average input current of the inductor I0Comprises the following steps: a load current; eta is: the efficiency of the system; when there is a dc bias, the dc bias factor expression is:
As shown in fig. 3, the dc offset factor in the Boost converter increases rapidly with increasing duty cycle.
In summary, the practical working characteristics of the Boost converter and the physical essence of hysteresis loss and eddy current loss generated by the loss of the magnetic core material are fully combined, and the magnetic loss of the Boost converter under different duty ratios under the condition of direct current bias can be conveniently predicted through reasonable simplification.
The present invention and its embodiments have been described above, and the description is not intended to be limiting, and the drawings are only one embodiment of the present invention, and the actual structure is not limited thereto. In summary, those skilled in the art should appreciate that they can readily use the disclosed conception and specific embodiments as a basis for designing or modifying other structures for carrying out the same purposes of the present invention without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (2)
1. A method for calculating a direct current bias coefficient of a magnetic core of a Boost circuit is characterized by comprising the following steps: under the condition of determining the working frequency and the flux density variation of the Boost converter, predicting the direct current bias coefficient variation at different duty ratios by using sinusoidal loss data with the duty ratio D being 0.5, and specifically comprising the following steps of:
(1) determining the duty ratio range of the magnetic core according to the input voltage and the output voltage, wherein the formula is as follows:
thus, D-1-VI/VO；
Wherein D is the duty ratio of the Boost converter, VIFor input voltage, VOIs the output voltage;
calculating the flux density variation B of the Boost converter when the duty ratio is 0.5ppThe formula is as follows:
wherein T is a period, VOFor output voltage, N is the number of turns of the coil, AeIs the cross section area of the magnetic core;
(2) according to the frequency f and the flux density variation B determined by the Boost converter when D is 0.5ppCalculating direct current bias coefficients under different duty ratios according to the working principle of the Boost converter to obtain the direct current bias coefficient change rule of the Boost converter under different duty ratios; direct current bias coefficient B of Boost converter under different duty ratiosDCComprises the following steps:
2. The method for calculating the direct current bias coefficient of the magnetic core of the Boost circuit according to claim 1, wherein the method comprises the following steps: the magnetic core is a ferrite soft magnetic core.
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| CN107066696A (en) * | 2017-03-17 | 2017-08-18 | 南京邮电大学 | Boost core loss computational methods |
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| CN107066696A (en) * | 2017-03-17 | 2017-08-18 | 南京邮电大学 | Boost core loss computational methods |
Non-Patent Citations (1)
| Title |
|---|
| New Measurement Methods to Characterize Transformer Core Loss and Copper Loss In High Frequency Switching Mode Power Supplies;Yongtao Han,et.al;《2004 35th Annual IEEE Power Elecrronics Specialisfs Conference》;20041231;第1696-1698页 * |
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