CN113191033A - Inductance simulation method for BOOST circuit inductance device - Google Patents

Inductance simulation method for BOOST circuit inductance device Download PDF

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CN113191033A
CN113191033A CN202110431278.4A CN202110431278A CN113191033A CN 113191033 A CN113191033 A CN 113191033A CN 202110431278 A CN202110431278 A CN 202110431278A CN 113191033 A CN113191033 A CN 113191033A
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inductance
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inductor
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value
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龙英文
安小雪
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Shanghai University of Engineering Science
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Abstract

The invention relates to an inductance simulation method for a BOOST circuit inductance device, which specifically comprises the following steps: s1, constructing a measuring circuit for measuring inductance, wherein the measuring circuit firstly measures an initial value of inductance, the inductance current in the measuring circuit is continuous, the conduction duty ratio of a switching tube in the measuring circuit is gradually increased, and the inductance value of the inductance in the measuring circuit and the current value of the inductance current passing through the inductance are recorded in real time; s2, establishing a corresponding relation between the inductance value and the inductance current through a curve core-fitting mode according to the inductance value and the current value of the inductance current through the inductor; and S3, establishing an inductance function model through combination of a plurality of algorithm modules according to the corresponding relation between the inductance current and the inductance value, connecting the inductance function model with the inductor to be measured, and measuring through the inductance function model to obtain the actual inductance value of the inductor to be measured. Compared with the prior art, the method has the advantages of improving the accuracy of the inductance simulation result and the like.

Description

Inductance simulation method for BOOST circuit inductance device
Technical Field
The invention relates to a simulation method, in particular to an inductance simulation method for a BOOST circuit inductance device.
Background
Power inductors in power electronic circuits typically include a magnetic core and an outer winding. The hysteresis loop diagram of the magnetic core material in the inductor shows that when the magnetic field intensity is increased, the magnetic induction intensity is also increased at the same time, but after the magnetic field intensity is increased to a certain degree, the increase of the magnetic induction intensity value becomes slower and slower, and the specific expression is that the inductance value can be reduced along with the increase of the inductive current. Therefore, the inductance belongs to a nonlinear link, the inductance module in the SIMULINK module is directly used in the design of the inductance in the simulation, and a fixed inductance value is set, which can cause the inaccuracy of the simulation result and the deviation of the simulation result and the actual operation result.
Disclosure of Invention
The invention aims to overcome the defect that the simulation result has deviation due to the fact that a fixed inductance value is set when an inductor is designed in a circuit in the prior art, and provides an inductor simulation method for a BOOST circuit inductor device.
The purpose of the invention can be realized by the following technical scheme:
an inductance simulation method for a BOOST circuit inductance device specifically comprises the following steps:
s1, constructing a measuring circuit for measuring inductance values, wherein the measuring circuit firstly measures an initial value of an inductor, the inductive current in the measuring circuit is continuous, the conduction duty ratio of a switching tube in the measuring circuit is gradually increased, and the inductance values of the inductor in the measuring circuit and the current values of the inductive current passing through the inductor are recorded in real time;
s2, establishing a corresponding relation between the inductance value and the inductance current in a curve fitting manner according to the inductance value and the current value of the inductance current passing through the inductor;
and S3, establishing an inductance function model through combination of a plurality of algorithm modules according to the corresponding relation between the inductance current and the inductance value, connecting the inductance function model with the inductor to be measured, and measuring through the inductance function model to obtain the actual inductance value of the inductor to be measured.
The algorithm module comprises an MATLAB SIMULINK module integration module, an addition module, a multiplication and division module, an amplitude limiting module, a controllable current source module, a voltage measurement module and an S-Function module.
The addition module, the multiplication and division module, the MATLAB SIMULINK module integration module, the amplitude limiting module and the controllable current source module are connected end to end in sequence.
And the output end of the addition module is connected with the multiplication input end of the multiplication and division module.
And the output end of the amplitude limiting module is connected with the output end of the controllable current source module.
The negative electrode input end of the controllable current source module is connected with an input port of the inductor to be tested, and the positive electrode output end of the controllable current source module is connected with an output port of the inductor to be tested.
And the voltage measuring module is respectively connected with the addition module and the controllable current source module.
Furthermore, the positive input end of the voltage measurement module is connected with the negative input end of the controllable current source module, the negative input end of the voltage measurement module is connected with the positive output end of the controllable current source module, and the output end of the voltage measurement module is connected with the subtraction input end of the addition module.
And the S-Function module is respectively connected with the addition module, the multiplication and division module and the amplitude limiting module.
Furthermore, the output end of the S-Function module is connected to two signal decomposition modules, the two signal decomposition modules are respectively connected to the addition input end of the addition module and the division input end of the multiplication and division module, and the input end of the S-Function module is connected to the output end of the amplitude limiting module.
Furthermore, the two-path signal decomposition module outputs the real-time inductance value to the multiplication and division module and outputs the inductance internal resistance to the addition module.
The front stage of the measuring circuit is connected with a direct current source, and the rear stage of the measuring circuit is connected with a resistor, so that the following formula is satisfied:
Figure BDA0003031555280000021
the measuring circuit satisfies the following formula to make the inductor current continuous:
Figure BDA0003031555280000022
the calculation process of the inductance value of the inductor in the measurement circuit and the current value of the inductor current passing through the inductor in the step S1 is as follows:
s101, increasing the conduction duty ratio by 1, judging whether the conduction duty ratio is smaller than a set threshold value, if so, turning to the step S102, otherwise, ending;
s102, calculating the current value of the inductive current, judging whether the current value is smaller than the maximum current value of the inductive current, if so, turning to the step S103, otherwise, ending;
s103, judging whether the current value of the inductive current is larger than the current value of the inductive current at the preset proportion corresponding to the maximum current value of the inductive current, if so, turning to the step S104, otherwise, updating the inductance value to be an initial inductance value, keeping the internal resistance of the inductor unchanged, and turning to the step S101;
s104, updating the inductance value and the internal resistance of the inductor, and turning to the step S101.
The set threshold of the on duty in step S101 is as follows:
Figure BDA0003031555280000031
where d is the on duty cycle, L0Is an initial inductance, V0For measuring the load voltage of the circuit, i0For measuring load current of circuit, VsFor measuring the input voltage of the DC source of the circuit, TsIs the period value of the switching frequency of the switching tube.
Further, the current value calculation formula of the inductor current in step S102 is as follows:
Figure BDA0003031555280000032
wherein iLIs the inductor current, L is the real-time inductance value, rLIs the internal resistance of the inductor, VLIs the voltage across the inductor and t is the time.
Further, the formula for updating the inductance value and the internal resistance of the inductor in S104 is as follows:
Figure BDA0003031555280000033
wherein, VL(k) Is the voltage across the inductor at time k，iL(k) Is the inductor current at time k, VL(k +1) is the voltage across the inductor at the time k +1, iL(k +1) is the inductor current at time k + 1.
The preset proportion corresponding to the maximum current value of the inductor current in step S103 is preferably 5%.
Compared with the prior art, the invention has the following beneficial effects:
according to the invention, the conduction duty ratio of the switching tube in the measuring circuit is gradually increased, the inductance value of the inductor in the measuring circuit and the current value of the inductive current passing through the inductor are recorded in real time, the corresponding relation between the inductive current and the inductance value is established in a curve fitting way, and an inductance function model is established based on multiple algorithm modules, so that the inductance value of the inductor to be measured under different current values is accurately measured, and the accuracy of an inductor simulation result is effectively improved.
Drawings
FIG. 1 is a schematic flow diagram of the present invention;
FIG. 2 is a schematic diagram of a measurement circuit according to the present invention;
FIG. 3 is a schematic diagram illustrating a process of calculating inductance and current values of an inductor in a measurement circuit according to the present invention;
FIG. 4 is an equivalent schematic diagram of an inductor according to the present invention;
FIG. 5 is a structural diagram of an inductance function model according to the present invention.
Reference numerals:
1-an addition module; 2-a multiply-divide module; a 3-MATLAB SIMULINK module integration module; 4-a clipping module; 5-input port of inductor to be measured; 6-a controllable current source module; 7-output port of inductor to be measured; 8-S-Function module; 9-a voltage measurement module; 10-two-path signal decomposition module.
Detailed Description
The invention is described in detail below with reference to the figures and specific embodiments. The present embodiment is implemented on the premise of the technical solution of the present invention, and a detailed implementation manner and a specific operation process are given, but the scope of the present invention is not limited to the following embodiments.
Examples
As shown in fig. 1, an inductance simulation method for a BOOST circuit inductance device provides an accurate inductance simulation result when MATLAB simulation software selects an inductance device, and specifically includes the following steps:
s1, constructing a measuring circuit for measuring inductance, wherein the measuring circuit firstly measures an initial value of inductance, the inductance current in the measuring circuit is continuous, the conduction duty ratio of a switching tube in the measuring circuit is gradually increased, and the inductance value of the inductance in the measuring circuit and the current value of the inductance current passing through the inductance are recorded in real time;
s2, establishing a corresponding relation between the inductance value and the inductance current through a curve core-fitting mode according to the inductance value and the current value of the inductance current through the inductor;
and S3, establishing an inductance function model through combination of a plurality of algorithm modules according to the corresponding relation between the inductance current and the inductance value, connecting the inductance function model with the inductor to be measured, and measuring through the inductance function model to obtain the actual inductance value of the inductor to be measured.
The algorithm module comprises an MATLAB SIMULINK module integration module, an addition module, a multiplication and division module, an amplitude limiting module, a controllable current source module, a voltage measurement module and an S-Function module.
The addition module, the multiplication and division module, the MATLAB SIMULINK module integration module, the amplitude limiting module and the controllable current source module are connected end to end in sequence.
The output end of the addition module is connected with the multiplication input end of the multiplication and division module.
And the output end of the amplitude limiting module is connected with the output end of the controllable current source module.
The negative electrode input end of the controllable current source module is connected with the input port of the inductor to be tested, and the positive electrode output end of the controllable current source module is connected with the output port of the inductor to be tested.
And the voltage measuring module is respectively connected with the adding module and the controllable current source module.
The positive input end of the voltage measurement module is connected with the negative input end of the controllable current source module, the negative input end of the voltage measurement module is connected with the positive output end of the controllable current source module, and the output end of the voltage measurement module is connected with the subtraction input end of the addition module.
The S-Function module is respectively connected with the addition module, the multiplication and division module and the amplitude limiting module, and in the embodiment, the S-Function module is realized through C language programming.
The output end of the S-Function module is connected with two signal decomposition modules, the two signal decomposition modules are respectively connected with the addition input end of the addition module and the division input end of the multiplication and division module, and the input end of the S-Function module is connected with the output end of the amplitude limiting module.
The two-path signal decomposition module outputs the real-time inductance value to the multiplication and division module and outputs the inductance internal resistance to the addition module.
As shown in fig. 2, the front stage of the measuring circuit is connected with a direct current source, and the output of the rear stage is connected with a resistor, so that the following formula is satisfied:
Figure BDA0003031555280000051
the measuring circuit satisfies the following formula to make the inductor current continuous:
Figure BDA0003031555280000052
as shown in fig. 3, the calculation process of the inductance value of the inductor in the measurement circuit and the current value of the inductor current passing through the inductor in step S1 is as follows:
s101, increasing the conduction duty ratio by 1, judging whether the conduction duty ratio is smaller than a set threshold value, if so, turning to the step S102, otherwise, ending;
s102, calculating the current value of the inductive current, judging whether the current value is smaller than the maximum current value of the inductive current, if so, turning to the step S103, otherwise, ending;
s103, judging whether the current value of the inductive current is larger than the current value of the inductive current at the preset proportion corresponding to the maximum current value of the inductive current, if so, turning to the step S104, otherwise, updating the inductance value to be an initial inductance value, keeping the internal resistance of the inductor unchanged, and turning to the step S101;
s104, updating the inductance value and the internal resistance of the inductor, and turning to the step S101.
In this embodiment, the reason is that
Figure BDA0003031555280000061
The critical value of the inductor working between the current continuous mode and the current discontinuous mode is determined, and according to the design standard of the inductor, the inductance value can not be lower than 40% of the initial inductance value when the inductor current reaches the rated current. In order to cope with a special situation, the margin is enlarged to an inductance not lower than 25% of the initial inductance, so that the set threshold of the on duty in step S101 is as follows:
Figure BDA0003031555280000062
where d is the on duty cycle, L0Is an initial inductance, V0For measuring the load voltage of the circuit, i0For measuring load current of circuit, VsFor measuring the input voltage of the DC source of the circuit, TsIs the period value of the switching frequency of the switching tube.
As shown in fig. 4, the inductor to be measured is equivalent to an ideal inductor connected in series with an equivalent resistor, and the voltages at the two ends of the ideal inductor are specifically as follows:
Figure BDA0003031555280000063
wherein, ULThe current value of the inductor current in step S102 is calculated as follows:
Figure BDA0003031555280000064
wherein iLIs the inductor current, L is the real-time inductance value, rLIs the internal resistance of the inductor, VLIs the voltage across the inductor and t is the time.
In S104, the inductance value and the inductor internal resistance of the inductor are updated according to the following formula:
Figure BDA0003031555280000065
wherein, VL(k) Is the voltage across the inductor at time k, iL(k) Is the inductor current at time k, VL(k +1) is the voltage across the inductor at the time k +1, iL(k +1) is the inductor current at time k + 1.
In this embodiment, to avoid the real-time inductance value L and the inductance internal resistance rLDenominator if i existsL(k +1) and iL(k) In the zero condition, the preset ratio corresponding to the maximum current value of the inductor current in step S103 is preferably 5%, and the inductance value is reduced little at this time, and it can be considered that the inductance value is equal to the initial inductance value L at this stage0。
In addition, it should be noted that the specific embodiments described in the present specification may have different names, and the above descriptions in the present specification are only illustrations of the structures of the present invention. All equivalent or simple changes in the structure, characteristics and principles of the invention are included in the protection scope of the invention. Various modifications or additions may be made to the described embodiments or methods may be similarly employed by those skilled in the art without departing from the scope of the invention as defined in the appending claims.

Claims (10)

1. An inductance simulation method for a BOOST circuit inductance device is characterized by comprising the following steps:
s1, constructing a measuring circuit for measuring inductance values, wherein the measuring circuit firstly measures an initial value of an inductor, the inductive current in the measuring circuit is continuous, the conduction duty ratio of a switching tube in the measuring circuit is gradually increased, and the inductance values of the inductor in the measuring circuit and the current values of the inductive current passing through the inductor are recorded in real time;
s2, establishing a corresponding relation between the inductance value and the inductance current in a curve fitting manner according to the inductance value and the current value of the inductance current passing through the inductor;
and S3, establishing an inductance function model through combination of a plurality of algorithm modules according to the corresponding relation between the inductance current and the inductance value, connecting the inductance function model with the inductor to be measured, and measuring through the inductance function model to obtain the actual inductance value of the inductor to be measured.
2. The method of claim 1, wherein the algorithm module comprises a MATLAB simple module integration module, an addition module, a multiplication and division module, a limiting module, a controllable current source module, a voltage measurement module, and an S-Function module.
3. The method of claim 2, wherein the summing module, the multiply-divide module, the MATLAB SIMULINK module, the integrating module, the limiting module, and the controllable current source module are connected end-to-end in sequence.
4. The method as claimed in claim 3, wherein the voltage measurement module is connected to the addition module and the controllable current source module respectively.
5. The method of claim 3, wherein the S-Function module is connected to the summing module, the multiplying and dividing module, and the clipping module respectively.
6. The method as claimed in claim 1, wherein the calculation process of measuring the inductance value of the inductor in the circuit and the current value of the inductor current passing through the inductor in step S1 is as follows:
s101, increasing the conduction duty ratio by 1, judging whether the conduction duty ratio is smaller than a set threshold value, if so, turning to the step S102, otherwise, ending;
s102, calculating the current value of the inductive current, judging whether the current value is smaller than the maximum current value of the inductive current, if so, turning to the step S103, otherwise, ending;
s103, judging whether the current value of the inductive current is larger than the current value of the inductive current at the preset proportion corresponding to the maximum current value of the inductive current, if so, turning to the step S104, otherwise, updating the inductance value to be an initial inductance value, keeping the internal resistance of the inductor unchanged, and turning to the step S101;
s104, updating the inductance value and the internal resistance of the inductor, and turning to the step S101.
7. The method for simulating the inductance of the inductive device of the BOOST circuit according to claim 6, wherein the set threshold of the turn-on duty ratio in the step S101 is as follows:
Figure FDA0003031555270000021
where d is the on duty cycle, L0Is an initial inductance, V0For measuring the load voltage of the circuit, i0For measuring load current of circuit, VsFor measuring the input voltage of the DC source of the circuit, TsIs the period value of the switching frequency of the switching tube.
8. The method for simulating the inductance of the inductive device of the BOOST circuit as claimed in claim 7, wherein the current value of the inductor current in step S102 is calculated as follows:
Figure FDA0003031555270000022
wherein iLIs the inductor current, L is the real-time inductance value, rLIs the internal resistance of the inductor, VLIs the voltage across the inductor and t is the time.
9. The method of claim 8, wherein the formula for updating the inductance value and the internal resistance of the inductor in S104 is as follows:
Figure FDA0003031555270000023
wherein, VL(k) Is the voltage across the inductor at time k, iL(k) Is the inductor current at time k, VL(k +1) is the voltage across the inductor at the time k +1, iL(k +1) is the inductor current at time k + 1.
10. The method as claimed in claim 6, wherein the preset ratio corresponding to the maximum current value of the inductor current in step S103 is preferably 5%.
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