CN107066696A - Boost core loss computational methods - Google Patents

Boost core loss computational methods Download PDF

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Publication number
CN107066696A
CN107066696A CN201710159463.6A CN201710159463A CN107066696A CN 107066696 A CN107066696 A CN 107066696A CN 201710159463 A CN201710159463 A CN 201710159463A CN 107066696 A CN107066696 A CN 107066696A
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mrow
boost
loss
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msup
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周岩
陈麒米
张宇飞
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Nanjing Post and Telecommunication University
Nanjing University of Posts and Telecommunications
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Nanjing Post and Telecommunication University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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  • Theoretical Computer Science (AREA)
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Abstract

The invention discloses Boost core loss computational methods:It is determined that dutycycle D=0.5 when change in magnetic flux density amount under the conditions of, by the operation principle for analyzing Boost circuit, the relational expression set up between magnetic hystersis loss, eddy-current loss and dutycycle, core loss changing rule of the prediction magnetic core when Boost dutycycle changes.It is an advantage of the invention that clear physics conception, calculating process is simple, loss size of the core material under the conditions of different duty in Boost outputting inductance can be effectively predicted.

Description

Boost core loss computational methods
Technical field
The present invention relates to core loss computational methods in a kind of Boost, more particularly to different duty bar The computational methods of high frequency ferrite core under part.
Background technology
Magnetic element is used mainly as transformer and power inductance in high frequency switching converter device.Power magnetic element pair There is conclusive influence in the Performance And Reliability of switch converters, irrational magnetic element design can cause switch change-over Device operational failure.Switching frequency f, change in magnetic flux density amount Bpp, dutycycle D, D.C. magnetic biasing HDC, the condition of work such as temperature T all can Direct influence is produced on the power magnetic loss of magnetic element, this modeling to core loss brings notable difficulty.Even in Bpp Under the same terms, core loss also can be by D.C. magnetic biasing HDCWith significantly affecting that excitation waveform changes.
At present, the Steinmetz equations based on fitting experimental data are generally used in engineering.Due to magnetic in switch converters Property the excitation born of element be change in duty cycle square wave, many scholars propose such as MSE, GSE, iGSE Steinmetz sides Core loss under the conditions of journey correction model analysis nonsinusoidal excitation.Because the fitting coefficient in Steinmetz equation models is by magnetic Property material, T, f, HDCAnd BppInfluence is significantly, it is necessary to the loss system that substantial amounts of test data could be set up under the conditions of particular job Number.In addition, Steinmetz correction models only give square wave loss factor under the conditions of identical magnetic flux density variable quantity, and it is big B in many power magnetic coresppIt is change.If it is considered that influence of the D.C. magnetic biasing to core loss, in addition it is also necessary to further amendment Steinmetz equation models and become excessively complicated.
Core loss model based on Physical Mechanism mainly has Jiles-Atherton hysteresis models, Preisach magnetic hysteresis moulds Type and Bertotti core loss disjunctive models.Magnetic loss physical model is to combine the magnetic element under all kinds of operating modes of switch converters Modeling analysis is lost and provides theoretical foundation, but its major defect is that excessive material parameter is included in model, to practical application Bring difficulty.
The content of the invention
In order to overcome the excessive shortcoming of material coefficient in traditional magnetic loss physical model, the present invention provides a kind of Boost conversion Core loss computational methods in device, using the advantage of magnetic losses partition method clear physics conception, with reference to Boost work Feature, sets up magnetic loss model of the Boost power inductance under the conditions of different duty.
The present invention uses following technical scheme to solve above-mentioned technical problem:
The present invention provides a kind of Boost core loss computational methods, close in given direct current biasing, frequency and magnetic flux Spend under variable quantity condition of work, when predicting different duty using lossy data of the Boost in dutycycle D=0.5 Core loss.It is specific as follows:
Step A, the duty cycle range for determining according to input voltage, output voltage magnetic core work, calculate Boost and exist Change in magnetic flux density amount B during dutycycle D=0.5pp
Step B, according to Boost in D=0.5 identified frequency f, direct current biasing IdcAnd change in magnetic flux density Measure Bpp, test identical f, Idc、BppUnder the conditions of sinusoidal excitation lossy data, and separate sinusoidal excitation loss calculation magnetic hystersis loss ComponentWith eddy-current loss component
Step C, the operation principle according to Boost, calculate magnetic hystersis loss and vortex damage under the conditions of different duty Changing rule is consumed, and then obtains asking for Boost core loss total under different duty.
As the further prioritization scheme of the present invention, change in magnetic flux density amount B in step AppFor:
In formula, VIInput voltage is represented, T represents temperature, and N represents coil turn, AeRepresent core cross section product.
As the further prioritization scheme of the present invention, the duty cycle relationship formula of Boost is:
In formula, VORepresent output voltage, VIInput voltage.
As the further prioritization scheme of the present invention, the magnetic hysteresis in step C under the conditions of Boost different duty is damaged Consume and be:
Eddy-current loss under the conditions of Boost different duty is:
Boost core loss total under different duty:
As the further prioritization scheme of the present invention, the magnetic core is ferrite soft magnetic magnetic core.
The present invention uses above technical scheme compared with prior art, with following technique effect:
Compared with classical core loss physical technique model, core loss meter in Boost proposed by the present invention Calculation method avoids numerous undetermined coefficients related to material property, fully combines Boost circuit work characteristics, physics Clear concept, calculating process is simple, can effectively predict that core material is in different duty condition in Boost outputting inductance Under loss size.
Brief description of the drawings
Fig. 1 is the schematic diagram of Boost.
Magnetic hystersis loss change curve when Fig. 2 is Boost change in duty cycle.
Eddy-current loss change curve when Fig. 3 is Boost change in duty cycle.
Embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings:
Boost as shown in Figure 1, is operated in CCM patterns, and inductance forward direction is excitatory during Q1 is turned on, and magnetic flux becomes Change amount is:
In formula, VIInput voltage is represented, T represents temperature, and N represents coil turn, AeCore cross section product is represented, D represents duty Than.
Inductance reversely demagnetizes during Q1 ends, and flux change amount is:
In formula, VORepresent output voltage.
Eddy-current loss in Boost unit volume magnetic core is represented by:
In formula, ReIt is magnetic core equivalent resistance.
Eddy-current loss under the conditions of different dutyWith D=0.5 square wave excitation eddy-current lossesRelational expression be:
If eddy-current loss is eddy-current loss variation tendency such as Fig. 3 institutes of magnetic core under the conditions of 1, different duty during D=0.5 Show.Square wave excitation magnetic hystersis lossWith D=0.5 square wave excitation magnetic hystersis lossesRelational expression be:
Magnetic hystersis loss and BppBetween into quadratic relationship, and B under different duty cycle conditionsppChanging rule such as formula (2) institute Show.If magnetic hystersis loss is 1 during D=0.5, the variation tendency between magnetic hystersis loss and D is as shown in Figure 2.And identical BppUnder the conditions of Magnetic hystersis loss is identical in sinusoidal excitation and square wave excitation numerical value.
Boost power core loss is under the conditions of different duty:
In summary, we fully combine the real work feature of Boost and the magnetic of core material loss generation Stagnant loss and eddy-current loss physical substance, just can easily predict Boost in different duties by reasonably simplification Magnetic loss size than under the conditions of.
It is described above, it is only the embodiment in the present invention, but protection scope of the present invention is not limited thereto, and appoints What be familiar with the people of the technology disclosed herein technical scope in, it will be appreciated that the conversion or replacement expected, should all cover Within the scope of the present invention, therefore, protection scope of the present invention should be defined by the protection domain of claims.

Claims (5)

1.Boost converter core loss computational methods, it is characterised in that:Become in given direct current biasing, frequency and magnetic flux density Under change amount condition of work, magnetic during different duty is predicted using lossy data of the Boost in dutycycle D=0.5 Core loss;It is specific as follows:
Step A, the duty cycle range for determining according to input voltage, output voltage magnetic core work, calculate Boost in duty Change in magnetic flux density amount B during than D=0.5pp
Step B, according to Boost in D=0.5 identified frequency f, direct current biasing IdcWith change in magnetic flux density amount Bpp, test identical f, Idc、BppUnder the conditions of sinusoidal excitation lossy data, and separate sinusoidal excitation loss calculation magnetic hystersis loss point AmountWith eddy-current loss component
Step C, the operation principle according to Boost, calculate magnetic hystersis loss and eddy-current loss change under the conditions of different duty Law, and then obtain asking for Boost core loss total under different duty.
2. Boost core loss computational methods according to claim 1, it is characterised in that:Magnetic flux is close in step A Spend variable quantity BppFor:
<mrow> <msub> <mi>B</mi> <mrow> <mi>p</mi> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>V</mi> <mi>I</mi> </msub> <mi>D</mi> <mi>T</mi> </mrow> <mrow> <msub> <mi>NA</mi> <mi>e</mi> </msub> </mrow> </mfrac> </mrow>
In formula, VIInput voltage is represented, T represents temperature, and N represents coil turn, AeRepresent core cross section product.
3. Boost core loss computational methods according to claim 1, it is characterised in that:Boost Duty cycle relationship formula is:
<mrow> <mfrac> <msub> <mi>V</mi> <mi>O</mi> </msub> <msub> <mi>V</mi> <mi>I</mi> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>-</mo> <mi>D</mi> </mrow> </mfrac> </mrow>
In formula, VORepresent output voltage, VIInput voltage.
4. Boost core loss computational methods according to claim 1, it is characterised in that:Boost in step C Magnetic hystersis loss under the conditions of converter different duty is:
<mrow> <msubsup> <mi>P</mi> <mi>h</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>c</mi> <mi>t</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>D</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>16</mn> <msup> <mi>D</mi> <mn>2</mn> </msup> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>D</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msubsup> <mi>P</mi> <mi>h</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>;</mo> </mrow>
Eddy-current loss under the conditions of Boost different duty is:
<mrow> <msubsup> <mi>P</mi> <mi>c</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>c</mi> <mi>t</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>D</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>32</mn> <msup> <mi>&amp;pi;</mi> <mn>2</mn> </msup> </mfrac> <mi>D</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>D</mi> <mo>)</mo> </mrow> <msubsup> <mi>P</mi> <mi>c</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>;</mo> </mrow>
Boost core loss total under different duty:
<mrow> <msubsup> <mi>P</mi> <mi>v</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>c</mi> <mi>t</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>D</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>16</mn> <msup> <mi>D</mi> <mn>2</mn> </msup> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>D</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msubsup> <mi>P</mi> <mi>h</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>+</mo> <mfrac> <mn>32</mn> <msup> <mi>&amp;pi;</mi> <mn>2</mn> </msup> </mfrac> <mi>D</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>D</mi> <mo>)</mo> </mrow> <msubsup> <mi>P</mi> <mi>c</mi> <mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> </mrow> </msubsup> <mo>.</mo> </mrow>
5. Boost core loss computational methods according to claim 1, it is characterised in that:The magnetic core is iron Oxysome soft magnetic core.
CN201710159463.6A 2017-03-17 2017-03-17 Boost core loss computational methods Pending CN107066696A (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108333422A (en) * 2018-01-31 2018-07-27 深圳市普乐华科技有限公司 A kind of nanometer of iron core saturation voltage method for rapidly testing
CN108509687A (en) * 2018-03-07 2018-09-07 南京邮电大学 A kind of Flyback converters core loss computational methods
CN109101673A (en) * 2018-06-14 2018-12-28 沈阳工业大学 High frequency transformer magnetic core loss computing method
CN109980933A (en) * 2019-04-10 2019-07-05 南京邮电大学 A kind of Boost circuit magnetic core direct current biasing coefficient calculation method
CN111913141A (en) * 2020-08-10 2020-11-10 珠海格力电器股份有限公司 Method and device for determining hysteresis loss

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CN103745124A (en) * 2014-01-24 2014-04-23 南京邮电大学 Method for calculating losses of magnetic cores with different sectional areas

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US20110169476A1 (en) * 2010-01-14 2011-07-14 Alexandr Ikriannikov Asymmetrical Coupled Inductors And Associated Methods
CN103197267A (en) * 2013-02-28 2013-07-10 南京邮电大学 Magnetic core loss separation calculating method
CN103745124A (en) * 2014-01-24 2014-04-23 南京邮电大学 Method for calculating losses of magnetic cores with different sectional areas

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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108333422A (en) * 2018-01-31 2018-07-27 深圳市普乐华科技有限公司 A kind of nanometer of iron core saturation voltage method for rapidly testing
CN108509687A (en) * 2018-03-07 2018-09-07 南京邮电大学 A kind of Flyback converters core loss computational methods
CN109101673A (en) * 2018-06-14 2018-12-28 沈阳工业大学 High frequency transformer magnetic core loss computing method
CN109101673B (en) * 2018-06-14 2023-06-20 沈阳工业大学 High-frequency transformer magnetic core loss calculation method
CN109980933A (en) * 2019-04-10 2019-07-05 南京邮电大学 A kind of Boost circuit magnetic core direct current biasing coefficient calculation method
CN109980933B (en) * 2019-04-10 2020-11-10 南京邮电大学 Boost circuit magnetic core direct current bias coefficient calculation method
CN111913141A (en) * 2020-08-10 2020-11-10 珠海格力电器股份有限公司 Method and device for determining hysteresis loss
CN111913141B (en) * 2020-08-10 2022-04-12 珠海格力电器股份有限公司 Method and device for determining hysteresis loss

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Application publication date: 20170818