CN104764964B - Large Copacity high frequency power transformer analysis method and device - Google Patents
Large Copacity high frequency power transformer analysis method and device Download PDFInfo
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Abstract
A kind of Large Copacity high frequency power transformer analysis method and device, methods described include：A, magnetic mechanism model is established, the magnetic mechanism model includes magnetizing inductance, leakage inductance, first winding internal impedance, secondary winding internal impedance, core loss equivalent resistance and an ideal transformer；B, electric capacity mechanism model is established, the electric capacity mechanism model includes first winding self-capacitance, once secondary winding self-capacitance, the electric capacity between electric capacity, secondary winding and magnetic core, fuel tank between electric capacity, first winding and magnetic core, fuel tank between secondary winding；C, by winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as collective model；D, analyzed under unloaded, short circuit or loading condition using the collective model.By the Large Copacity high frequency power transformer analysis method and device of the present invention, the magnetic effect and capacity effect inside Large Copacity high frequency power transformer can be taken into full account, effective foundation is provided for Large Copacity high frequency power transformer emi analysis and design.
Description
Technical field
The present invention relates to Power System Analysis technical field, especially relates to the high frequency power transformer in power system
Analytical technology.
Background technology
With the growth of the grid-connected demand in the Novel DC such as extensive offshore wind electric field and solar power generation, fuel cell source,
The conception for establishing direct current network obtains extensive concern.High power D C-DC converters containing high frequency power transformer can be
While realizing large-scale direct current transmission and flexibly control, ensure both sides electrical isolation, be the critical equipment for developing direct current network.
High frequency power transformer is the solid-state transformer that working frequency exceedes intermediate frequency (10kHz), is mainly used in high pressure DC-DC converter
Work is isolated or lifting/voltage reducing transformer, is also had for making high-frequency switch power transformer in high frequency switch power, and for high frequency
Make high frequency inverter transformer in inverter and Inverter Welder.And conventional power transformer is a kind of the electric of low frequency
Equipment, it is for the alternating voltage (electric current) of a certain numerical value is become into the voltage that frequency identical is another or several numerical value are different
The equipment of (electric current).
The volume and weight of high frequency power transformer can be substantially reduced by improving working frequency.However, it is applied to DC- at present
The high frequency power transformer of DC converters is still in the laboratory research stage, and transformer capacity also can not far meet direct current network million
Watt level application demand.Although the strategy of multiple high frequency power transformer connection in series-parallel combinations can meet power requirement, existing
Lack reliability under technical conditions.Therefore, capacity and the voltage class for improving separate unit high frequency power transformer are necessary.
Fig. 1 is a kind of schematic diagram of Large Copacity high frequency power transformer, and it includes first winding AB, secondary winding CD, magnetic
Core and fuel tank, magnetic core and fuel tank are connected and are grounded by fixture.With the raising of capacity and voltage class, high frequency power transformer
Oil immersed type need to be used to insulate, to ensure enough dielectric strengths in MW class application field.To improve high frequency power transformer
Power density, further reduce volume of transformer, nanometer crystal alloy, non-crystaline amorphous metal etc. there is low-loss density and height in high frequency
The magnetic material of saturation magnetic induction is often used as magnetic core of transformer.The FERRITE CORE commonly used with low capacity high frequency transformer is not
Together, the resistivity of this magnetic core only has 100 times of copper or so, therefore is a kind of conductor.
With the raising of working frequency, closely related distribution capacity is not with Large Copacity high frequency power transformer internal structure
Can ignore, and as influence transformer normal work characteristic and with both ends power electronic equipment interphase interaction it is main because
Element.Large Copacity high voltagehigh frequency power transformer collective model can be by resistance, inductance and capacitance parameter in inside transformer knot
Establish and associate between structure and external characteristics, Electromagnetic Desigu Method, analysis transformation for developing Large Copacity high voltagehigh frequency power transformer
Device external characteristics important in inhibiting.But the analysis method of traditional conventional power transformer due to not accounting for capacity effect and
No longer it is applicable.Prior art medium/high frequency transformer model designs generally directed to the high frequency transformer of low capacity, only accounts for becoming
The capacity effect of depressor winding, but the capacity effect between winding, magnetic core and fuel tank can not be considered, therefore it is high with the Large Copacity of reality
The actual conditions of frequency power transformer differ greatly.
The content of the invention
A kind of in consideration of it, the shortcomings that it is an object of the invention to overcome prior art, there is provided effective Large Copacity high-frequency electrical
Power transformer analysis method and device, the Large Copacity high frequency power transformer analysis method and device can consider wideband shape simultaneously
Magnetomechanical under condition is managed and electric capacity mechanism, and the wideband under the conditions of concentrated expression Large Copacity high frequency power transformer different loads is outer special
Property.
In order to realize this purpose, the technical scheme that the present invention takes is as follows.
A kind of Large Copacity high frequency power transformer analysis method, the described method comprises the following steps：
A, magnetic mechanism model is established, the magnetic mechanism model includes the magnetizing inductance for being parallel to first winding and magnetic core is equivalent
Loss resistance, the leakage inductance for being connected on secondary winding, the first winding internal impedance for being connected on first winding and secondary winding respectively
With secondary winding internal impedance and an ideal transformer；
B, establish electric capacity mechanism model, the electric capacity mechanism model include being connected in parallel between first winding terminal once around
Group self-capacitance, the secondary winding self-capacitance being connected in parallel between secondary winding terminal, it is connected to first winding terminal and secondary winding end
Between son once between secondary winding between electric capacity, the first winding being connected between first winding terminal and magnetic core and magnetic core, fuel tank
Electric capacity between electric capacity, the secondary winding being connected between secondary winding terminal and magnetic core and magnetic core, fuel tank；
C, by winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as collective model；
D, analyzed under unloaded, short circuit or loading condition using the collective model.
In the magnetic mechanism model,
Magnetizing inductance is determined by stationary magnetic field energy：
Wherein WmApply electric current i for first winding1Large Copacity high frequency power transformer storage when excitation, secondary winding open circuit
Magnetic field energy；
Leakage inductance is determined by leakage magnetic field energy during ampere-turn equilibrium：
Wm-leakageApply electric current i respectively for first and second winding1、i2And when keeping ampere-turn equilibrium, the magnetic field of transformer storage
Energy；
First winding internal impedance Zs1=FrR01+jωL01,
Wherein, FrFor wire and the AC resistance coefficient of frequency dependence,
R01For the D.C. resistance of first winding,
L01For the interior inductance of first winding,
Secondary winding internal impedance Zs2=FrR02+jωL02,
Wherein R02For the D.C. resistance of secondary winding,
L02For the interior inductance of secondary winding,
Core loss equivalent resistance RmDetermined by modulus value of the transformer open-circuit impedance characteristic in first resonance point,
And the ideal transformer no-load voltage ratio is
Wherein k is the coefficient of coup, L1And L2For primary and secondary winding self-induction.
Magnetic field energy is wherein determined by finite element method, to obtain the numerical value of magnetizing inductance and leakage inductance.
The step of determining electric capacity mechanism model be：
B1, apply with driving voltage to transformer capacitor mechanism model port, and other port opens are kept, it is determined that respectively
Transformer electrostatic energy in the case of kind；
B2, apply with driving voltage to two ports of transformer capacitor mechanism model, and keep other port opens, it is determined that
Transformer electrostatic energy in the case of various；
Transformer electrostatic energy in the case of B3, various in step B1, B2, determines first winding self-capacitance, two
Secondary winding self-capacitance, once between secondary winding electric capacity and secondary winding and magnetic core between electric capacity, first winding and magnetic core, fuel tank,
Electric capacity between fuel tank.
The transformer electrostatic energy in the case of various in step B1 and B2 is wherein determined by finite element method.
Especially, in step B1, determine that transformer electrostatic energy is
In step B2, determine that transformer electrostatic energy is
In step B3, each electric capacity is determined according to following relation：
W12=-C4u1u2,
W13=(C4+C6+C7)u1u3,
W14=-(C4+C6)u1u4,
W23=-(C4+C5)u2u3,
W24=(C4+C5+C8)u2u4,
W34=-(C3+C4+C5+C6)u3u4,
Wherein u1、u2、u3And u4The driving voltage being respectively applied on each port；
Electric capacity C1For first winding self-capacitance, electric capacity C2For secondary winding self-capacitance；
Electric capacity C3,C4,C5,C6For the once electric capacity between secondary winding,
Electric capacity C7And C8The electric capacity between first winding and magnetic core, fuel tank,
Electric capacity C9And C10The electric capacity between secondary winding and magnetic core, fuel tank.
A kind of Large Copacity high frequency power transformer analytical equipment, described device establish unit, electric capacity including magnetic mechanism model
Mechanism model establishes unit, collective model establishes unit and analytic unit, wherein,
Magnetic mechanism model establishes unit and is used to establish magnetic mechanism model, and the magnetic mechanism model includes being parallel to first winding
Magnetizing inductance and core loss equivalent resistance, be connected on the leakage inductance of secondary winding, be connected on first winding respectively and secondary
The first winding internal impedance and secondary winding internal impedance of winding and an ideal transformer；
Electric capacity mechanism model establishes unit and is used to establish electric capacity mechanism model, and the electric capacity mechanism model includes being connected in parallel on one
First winding self-capacitance between secondary winding terminals, the secondary winding self-capacitance being connected in parallel between secondary winding terminal, it is connected to one
Between secondary winding terminals and secondary winding terminal once between secondary winding electric capacity, be connected between first winding terminal and magnetic core
It is electric between electric capacity, the secondary winding being connected between secondary winding terminal and magnetic core and magnetic core, fuel tank between first winding and magnetic core, fuel tank
Hold；
Collective model establishes unit and is used to pass through winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as synthesis
Model；
Analytic unit is used to be analyzed using the collective model under unloaded, short circuit or loading condition.
By using the Large Copacity high frequency power transformer analysis method and device of the present invention, Large Copacity height is fully reflected
Press the magnetic effect inside high frequency power transformer and the wideband external characteristics under the conditions of capacity effect, with power transformer different loads
The goodness of fit is good, and effective foundation is provided with design for high frequency transformer and the emi analysis of DC-DC converter.
Brief description of the drawings
Fig. 1 is the structural representation of Large Copacity high frequency power transformer.
Fig. 2 is the collective model schematic diagram suitable for Large Copacity high frequency power transformer in embodiment of the present invention.
Fig. 3 is a Large Copacity high frequency power transformer experimental prototype machine structure chart.
Fig. 4 is the geometrical model schematic diagram of Large Copacity high frequency power transformer in embodiment of the present invention.
Fig. 5 is that first winding occurs using Large Copacity high frequency power transformer analytical in embodiment of the present invention
During open fault, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Fig. 6 is that first winding occurs using Large Copacity high frequency power transformer analytical in embodiment of the present invention
During short trouble, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Fig. 7 is that secondary winding occurs using Large Copacity high frequency power transformer analytical in embodiment of the present invention
During open fault, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Fig. 8 is that secondary winding occurs using Large Copacity high frequency power transformer analytical in embodiment of the present invention
During short trouble, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Fig. 9 is to connect electricity using Large Copacity high frequency power transformer analytical first winding in embodiment of the present invention
During resistance load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Figure 10 is to be connect using Large Copacity high frequency power transformer analytical secondary winding in embodiment of the present invention
During ohmic load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Figure 11 is to be connect using Large Copacity high frequency power transformer analytical first winding in embodiment of the present invention
During inductive load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Figure 12 is to be connect using Large Copacity high frequency power transformer analytical secondary winding in embodiment of the present invention
During inductive load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.
Embodiment
Below in conjunction with the accompanying drawings, the present invention is elaborated.
The detailed example embodiment of following discloses.However, concrete structure disclosed herein and function detail merely for the sake of
The purpose of example embodiment is described.
It should be appreciated, however, that the present invention is not limited to disclosed particular exemplary embodiment, but covering falls into disclosure model
Enclose interior all modifications, equivalent and alternative.In the description to whole accompanying drawings, identical reference represents identical member
Part.
It will also be appreciated that term "and/or" includes any of one or more related list items as used in this
With all combinations.It will further be appreciated that when part or unit are referred to as " connecting " or during " coupled " to another part or unit, it
Miscellaneous part or unit are can be directly connected or coupled to, or there may also be intermediate member or unit.In addition, for describing
Between part or unit other words of relation should understand in the same fashion (for example, " between " to " directly between ",
" adjacent " is to " direct neighbor " etc.).
Embodiments of the present invention include a kind of Large Copacity high frequency power transformer analysis method, methods described include with
Lower step：
A, magnetic mechanism model is established, the magnetic mechanism model includes the magnetizing inductance for being parallel to first winding and magnetic core is equivalent
Loss resistance, the leakage inductance for being connected on secondary winding, the first winding internal impedance for being connected on first winding and secondary winding respectively
With secondary winding internal impedance and an ideal transformer；
B, establish electric capacity mechanism model, the electric capacity mechanism model include being connected in parallel between first winding terminal once around
Group self-capacitance, the secondary winding self-capacitance being connected in parallel between secondary winding terminal, it is connected to first winding terminal and secondary winding end
Between son once between secondary winding between electric capacity, the first winding being connected between first winding terminal and magnetic core and magnetic core, fuel tank
Electric capacity between electric capacity, the secondary winding being connected between secondary winding terminal and magnetic core and magnetic core, fuel tank；
C, by winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as collective model；
D, analyzed under unloaded, short circuit or loading condition using the collective model.
Therefore, the Large Copacity high frequency power transformer analysis method and device can consider the magnetomechanical under high frequency situation simultaneously
Reason and electric capacity mechanism, the concentrated expression physical characteristic of Large Copacity high frequency power transformer.
Fig. 2 is the collective model schematic diagram suitable for Large Copacity high frequency power transformer in embodiment of the present invention, from
As can be seen that the collective model of Large Copacity high frequency power transformer includes the magnetic mechanism model and condenser unit being connected in parallel in Fig. 2
Model is managed, therefore fully reflects magnetic effect and capacity effect inside Large Copacity high voltagehigh frequency power transformer.
Fig. 3 is a Large Copacity high frequency power transformer experimental prototype machine structure chart, and Fig. 4 is big in embodiment of the present invention
The geometrical model schematic diagram of capacity high frequency power transformer.By the geometrical model in Fig. 3 structure and Fig. 4, illustrate magnetic below
The specific construction method of mechanism model and electric capacity mechanism model.
In a detailed embodiment, in the magnetic mechanism model：
Magnetizing inductance is determined by stationary magnetic field energy：Inductance LmFirst winding is connected in parallel on, represents reduction to one
The static exciter inductance of secondary winding；
Wherein WmApply electric current i for first winding1Large Copacity high frequency power transformer storage when excitation, secondary winding open circuit
Magnetic field energy；
Leakage inductance is determined by leakage magnetic field energy during ampere-turn equilibrium：Inductance LsIt is connected on secondary winding, generation
Transformer leakage inductance of the table reduction to secondary winding；
Wm-leakageApply electric current i respectively for first and second winding1、i2And when keeping ampere-turn equilibrium, the magnetic field of transformer storage
Energy；
First winding internal impedance Zs1=FrR01+jωL01,
Wherein, FrFor wire and the AC resistance coefficient of frequency dependence, can be obtained by General Analytical computational methods,
This present invention is not described in detail, but those skilled in the art can obtain accurately solution side by consulting prior art
Method,
R01For the D.C. resistance of first winding,
L01For the interior inductance of first winding, understood by practice for general copper conductor, compared with winding AC resistance, around
The internal reactance of group generally can be ignored；
Secondary group of internal impedance Zs2=FrR02+jωL02,
Wherein, FrFor wire and the AC resistance coefficient of frequency dependence,
R02For the D.C. resistance of secondary winding,
L02For the interior inductance of secondary winding,
Impedance Zs1And Zs2First winding and secondary winding are connected on respectively, represent first winding respectively and secondary winding is examined
Consider the internal impedance of high frequency kelvin effect；
Core loss equivalent resistance RmMould that can be by measuring transformer open-circuit impedance characteristic at first resonance point
Value obtains, and represents the equivalent resistance of core loss；
And the ideal transformer no-load voltage ratio is
Wherein k is the coefficient of coup, L1And L2For primary and secondary winding self-induction.
Generally, it is contemplated that Large Copacity high voltagehigh frequency power transformer contains magnetic core, and coefficient of coup k, can be with close to 1
It is transformer secondary and first winding turn ratio to think n.
The magnetic field energy can be obtained by numerical method, be determined in a specific embodiment by finite element method
Magnetic field energy, to obtain the numerical value of magnetizing inductance and leakage inductance, but those skilled in that art should know, can also pass through
Other modes obtain magnetic field energy, and the present invention is not limited to this.
In addition, in the specific embodiment of the invention, the step of determining electric capacity mechanism model, is：
B1, apply with driving voltage to transformer capacitor mechanism model port, and keep other port opens, it is so true
It is fixed it is various in the case of transformer electrostatic energy；
B2, apply with driving voltage to two ports of transformer capacitor mechanism model, and keep other port opens, so
Determine it is various in the case of transformer electrostatic energy；
Electrostatic energy in the case of B3, various in step B1, B2, determines first winding self-capacitance, secondary winding
Self-capacitance, once between secondary winding between electric capacity, first winding and magnetic core, fuel tank between electric capacity and secondary winding and magnetic core, fuel tank
Electric capacity.
The transformer electrostatic energy in above step B1 and B2 can certainly be determined by numerical method, it is specific at one
In embodiment, result in order to relatively simple is obtained, the transformer electrostatic in step B1 and B2 is determined by finite element method
Energy.
Specifically, the method for determining each electric capacity according to transformer electrostatic energy is：
In step B1, determine that transformer electrostatic energy isApply respectively in 1-4 ports
Voltage, and other port opens are kept, determine the transformer static capacity in the case of these；
In step B2, determine that transformer electrostatic energy isI.e.
Apply voltage two-by-two in 1-4 ports respectively, and keep other port opens, determine the transformer static capacity in the case of these；
In step B3, each electric capacity is determined according to following relation：
W12=-C4u1u2,
W13=(C4+C6+C7)u1u3,
W14=-(C4+C6)u1u4,
W23=-(C4+C5)u2u3,
W24=(C4+C5+C8)u2u4,
W34=-(C3+C4+C5+C6)u3u4,
Wherein u1、u2、u3And u4The driving voltage being respectively applied to as shown in Figure 2 on each port；
Electric capacity C1For first winding self-capacitance, electric capacity C2For secondary winding self-capacitance；Electric capacity C1It is connected in parallel on first winding A, B
Between terminal, electric capacity C2It is connected in parallel between secondary winding C, D terminal；
Electric capacity C3,C4,C5,C6For the once electric capacity between secondary winding, first winding A, B terminal and secondary winding are connected to
C, between D terminals；
Electric capacity C7And C8The electric capacity between first winding and magnetic core, fuel tank, it is connected to first winding B, A terminal and magnetic core
Between；
Electric capacity C9And C10The electric capacity between secondary winding and magnetic core, fuel tank, it is connected to secondary winding D, C terminal and magnetic core
Between.
In order to match with the Large Copacity high frequency power transformer analysis method in embodiment of the present invention, the present invention also wraps
A kind of Large Copacity high frequency power transformer analytical equipment is included, described device establishes unit, electric capacity mechanism mould including magnetic mechanism model
Type establishes unit, collective model establishes unit and analytic unit, wherein,
Magnetic mechanism model establishes unit and is used to establish magnetic mechanism model, and the magnetic mechanism model includes being parallel to first winding
Magnetizing inductance and core loss equivalent resistance, be connected on the leakage inductance of secondary winding, be connected on first winding respectively and secondary
The first winding internal impedance and secondary winding internal impedance of winding and an ideal transformer；
Electric capacity mechanism model establishes unit and is used to establish electric capacity mechanism model, and the electric capacity mechanism model includes being connected in parallel on one
First winding self-capacitance between secondary winding terminals, the secondary winding self-capacitance being connected in parallel between secondary winding terminal, it is connected to one
Between secondary winding terminals and secondary winding terminal once between secondary winding electric capacity, be connected between first winding terminal and magnetic core
It is electric between electric capacity, the secondary winding being connected between secondary winding terminal and magnetic core and magnetic core, fuel tank between first winding and magnetic core, fuel tank
Hold；
Collective model establishes unit and is used to pass through winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as synthesis
Model；
Analytic unit is used to be analyzed using the collective model under unloaded, short circuit or loading condition.
In order to verify the technique effect of the present invention, to the Large Copacity high-frequency electrical of the present invention in one more specifically embodiment
Power transformer analysis method and device are verified.
Large Copacity high frequency power transformer experimental prototype machine is measured in sky using Agilent 4294A electric impedance analyzers
Carry, short circuit and load (respectively with 125k Ω ohmic loads and 40uH inductive loads) under the conditions of impedance operator, measure frequency range be
100Hz-1MHz.Analyzed simultaneously using Large Copacity high frequency power transformer analysis method of the present invention and device.Experiment is with dividing
Analysis result refer to Fig. 5~Figure 12.Wherein Fig. 5 is to utilize Large Copacity high frequency power transformer analysis side in embodiment of the present invention
When first winding open fault occurs for method analysis, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram；Fig. 6 is real using the present invention
When applying Large Copacity high frequency power transformer analytical generation first winding short trouble in mode, transformer impedance amplitude-frequency
With phase-frequency characteristic schematic diagram；Fig. 7 is to be sent out using Large Copacity high frequency power transformer analytical in embodiment of the present invention
During raw secondary winding open fault, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram；Fig. 8 is using in embodiment of the present invention
When secondary winding short trouble occurs for Large Copacity high frequency power transformer analytical, transformer impedance amplitude-frequency is special with phase frequency
Property schematic diagram；Fig. 9 is to be connect using Large Copacity high frequency power transformer analytical first winding in embodiment of the present invention
During ohmic load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram；Figure 10 is high using Large Copacity in embodiment of the present invention
When frequency power transformer analytical secondary winding connecting resistance loads, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram；
Figure 11 is to connect inductive load using Large Copacity high frequency power transformer analytical first winding in embodiment of the present invention
When, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram；Figure 12 is to be become using Large Copacity RF power in embodiment of the present invention
When depressor analytical secondary winding connects inductive load, transformer impedance amplitude-frequency and phase-frequency characteristic schematic diagram.Fig. 5~Figure 12
Middle solid line is actual measured results, and dotted line is the result of analysis, it can be seen that, analysis result measures with actual from these figures
As a result it is close, illustrate that the Large Copacity high frequency power transformer analysis method of the present invention is effective in the range of 300kHz, tool
There is the higher degree of accuracy.
It should be noted that above-mentioned embodiment is only the preferable embodiment of the present invention, it is impossible to is understood as to this
The limitation of invention protection domain, under the premise of without departing from present inventive concept, to any minor variations that the present invention is done and modification
Belong to protection scope of the present invention.
Claims (6)
1. a kind of Large Copacity high frequency power transformer analysis method, the described method comprises the following steps：
A, magnetic mechanism model is established, the magnetic mechanism model includes being parallel to magnetizing inductance and the equivalent loss of magnetic core of first winding
Resistance, the leakage inductance for being connected on secondary winding, first winding and the first winding internal impedance of secondary winding and two are connected on respectively
Secondary winding internal impedance and an ideal transformer；
B, electric capacity mechanism model is established, the electric capacity mechanism model includes the first winding being connected in parallel between first winding terminal certainly
Electric capacity, the secondary winding self-capacitance being connected in parallel between secondary winding terminal, it is connected between first winding terminal and secondary winding terminal
Once between secondary winding electric capacity between electric capacity, the first winding being connected between first winding terminal and magnetic core and magnetic core, be connected
Electric capacity between first winding and fuel tank between first winding terminal and magnetic core, be connected to it is secondary between secondary winding terminal and magnetic core
Electric capacity between electric capacity, the secondary winding being connected between secondary winding terminal and magnetic core and fuel tank between winding and magnetic core；Determine condenser unit
Manage model the step of be：
B1, apply with driving voltage to transformer capacitor mechanism model port, and keep other port opens, determine various feelings
Transformer electrostatic energy under condition；
B2, apply with driving voltage to two ports of transformer capacitor mechanism model, and keep other port opens, determine various
In the case of transformer electrostatic energy；
Transformer electrostatic energy in the case of B3, various in step B1, B2, determine first winding self-capacitance, it is secondary around
Group self-capacitance, once electric capacity and secondary winding and magnetic core, fuel tank between electric capacity, first winding and magnetic core, fuel tank between secondary winding
Between electric capacity；
C, by winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as collective model；
D, analyzed under unloaded, short circuit or loading condition using the collective model.
2. according to the Large Copacity high frequency power transformer analysis method described in claim 1, it is characterised in that the magnetomechanical reason
In model,
Magnetizing inductance is determined by stationary magnetic field energy：
Wherein WmApply electric current i for first winding1The magnetic of Large Copacity high frequency power transformer storage when excitation, secondary winding open circuit
Field energy；
Leakage inductance is determined by leakage magnetic field energy during ampere-turn equilibrium：
Wm-leakageApply electric current i respectively for first and second winding1、i2And when keeping ampere-turn equilibrium, Large Copacity high frequency power transformer
The magnetic field energy of storage；
First winding internal impedance Zs1=FrR01+jωL01,
Wherein, FrFor wire and the AC resistance coefficient of frequency dependence,
R01For the D.C. resistance of first winding,
L01For the interior inductance of first winding,
Secondary winding internal impedance Zs2=FrR02+jωL02,
Wherein R02For the D.C. resistance of secondary winding,
L02For the interior inductance of secondary winding,
Core loss equivalent resistance RmDetermined by modulus value of the transformer open-circuit impedance characteristic in first resonance point,
And the ideal transformer no-load voltage ratio is
Wherein k is the coefficient of coup, L1And L2For primary and secondary winding self-induction.
3. according to the Large Copacity high frequency power transformer analysis method described in claim 2, it is characterised in that pass through finite element
Method determines magnetic field energy, to obtain the numerical value of magnetizing inductance and leakage inductance.
4. according to the Large Copacity high frequency power transformer analysis method described in claim 1, it is characterised in that step B is included
Determination condenser unit reason model the step of in, the transformer in the case of various in step B1 and B2 is determined by finite element method
Electrostatic energy.
5. according to the Large Copacity high frequency power transformer analysis method described in claim 1, it is characterised in that step B is included
Determination condenser unit reason model the step of：
In step B1, determine that transformer electrostatic energy is
In step B2, determine that transformer electrostatic energy is
In step B3, each electric capacity is determined according to following relation：
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W12=-C4u1u2,
W13=(C4+C6+C7)u1u3,
W14=-(C4+C6)u1u4,
W23=-(C4+C5)u2u3,
W24=(C4+C5+C8)u2u4,
W34=-(C3+C4+C5+C6)u3u4,
Wherein u1、u2、u3And u4The driving voltage being respectively applied on each port；
Electric capacity C1For first winding self-capacitance, electric capacity C2For secondary winding self-capacitance；
Electric capacity C3,C4,C5,C6For the once electric capacity between secondary winding,
Electric capacity C7And C8Electric capacity between electric capacity, first winding and fuel tank respectively between first winding and magnetic core,
Electric capacity C9And C10Electric capacity between electric capacity, secondary winding and fuel tank respectively between secondary winding and magnetic core.
6. a kind of Large Copacity high frequency power transformer analytical equipment, described device establishes unit, condenser unit including magnetic mechanism model
Model establishes unit to reason, collective model establishes unit and analytic unit, wherein,
Magnetic mechanism model establishes unit and is used to establish magnetic mechanism model, and the magnetic mechanism model includes being parallel to encouraging for first winding
Magnetoelectricity sense and core loss equivalent resistance, it is connected on the leakage inductance of secondary winding, is connected on first winding and secondary winding respectively
First winding internal impedance and secondary winding internal impedance and an ideal transformer；
Electric capacity mechanism model establishes unit and is used to establish electric capacity mechanism model, the electric capacity mechanism model include being connected in parallel on once around
Group terminal between first winding self-capacitance, be connected in parallel between secondary winding terminal secondary winding self-capacitance, be connected to once around
Group terminal and secondary winding terminal between once between secondary winding electric capacity, be connected between first winding terminal and magnetic core once
Electric capacity between electric capacity, the first winding being connected between first winding terminal and magnetic core and fuel tank between winding and magnetic core, be connected to it is secondary
Electric capacity between secondary winding and magnetic core between winding terminals and magnetic core, the secondary winding being connected between secondary winding terminal and magnetic core with
Electric capacity between fuel tank；In the electric capacity mechanism model, each electric capacity is determined according to transformer electrostatic energy, wherein,
Apply to transformer capacitor mechanism model port with driving voltage, and keep other port opens, determine various situations
Lower transformer electrostatic energy is：
Apply to two ports of transformer capacitor mechanism model with driving voltage, and keep other port opens, determine various feelings
Transformer electrostatic energy is under condition：
Each electric capacity is determined according to following relation：
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W12=-C4u1u2,
W13=(C4+C6+C7)u1u3,
W14=-(C4+C6)u1u4,
W23=-(C4+C5)u2u3,
W24=(C4+C5+C8)u2u4,
W34=-(C3+C4+C5+C6)u3u4,
Wherein u1、u2、u3And u4The driving voltage being respectively applied on each port；
Electric capacity C1For first winding self-capacitance, electric capacity C2For secondary winding self-capacitance；
Electric capacity C3,C4,C5,C6For the once electric capacity between secondary winding,
Electric capacity C7And C8Electric capacity between electric capacity, first winding and fuel tank respectively between first winding and magnetic core,
Electric capacity C9And C10Electric capacity between electric capacity, secondary winding and fuel tank respectively between secondary winding and magnetic core；
Collective model establishes unit and is used to pass through winding terminals parallel connection magnetic mechanism model and electric capacity mechanism model, as comprehensive mould
Type；
Analytic unit is used to be analyzed using the collective model under unloaded, short circuit or loading condition.
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| CN105160061A (en) * | 2015-07-22 | 2015-12-16 | 珠海格力电器股份有限公司 | Method and apparatus for establishing equivalent circuit of multi-output high-frequency transformer |
| CN105203853B (en) * | 2015-09-11 | 2018-09-14 | 国网智能电网研究院 | A kind of measurement method of large capacity high frequency transformer parasitic capacitance |
| CN108020734A (en) * | 2016-11-04 | 2018-05-11 | 江苏领先电子有限公司 | Transformer analog circuit and transformer analog method |
| CN110765585B (en) * | 2019-09-30 | 2021-04-06 | 南京航空航天大学 | Alternating current resistance analytic calculation method suitable for single-phase stranded wire |
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