CN116979715A - Inductance current time domain model online modeling method and device for SS type WPT system - Google Patents
Inductance current time domain model online modeling method and device for SS type WPT system Download PDFInfo
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- CN116979715A CN116979715A CN202310840884.0A CN202310840884A CN116979715A CN 116979715 A CN116979715 A CN 116979715A CN 202310840884 A CN202310840884 A CN 202310840884A CN 116979715 A CN116979715 A CN 116979715A
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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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- G—PHYSICS
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
- H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
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Abstract
The invention discloses an inductance current time domain model on-line modeling method and device for an SS type WPT system, wherein inductance current and a first unit sine signal are multiplied through a first analog multiplier, meanwhile, inductance current and a second unit sine signal are multiplied through a second analog multiplier, and then, the operation result of the first analog multiplier is input into a first low-pass filter to obtain a first direct current signal; inputting the operation result of the second analog multiplier into a second low-pass filter to obtain a second direct current signal; then, the amplitude and the phase of the inductance current are obtained according to the first direct current signal and the second direct current signal; and finally, the controller obtains an inductor current time domain model according to the driving angular frequency of the inverter and the amplitude and the phase of the inductor current. The effect is that: the amplitude information and the phase information of the inductance current can be obtained through the low-cost multiplication circuit and the filter circuit, so that the time domain form of the high-frequency inductance current can be accurately restored by using a common controller.
Description
Technical Field
The invention belongs to the technical field of wireless power transmission, and particularly relates to an inductance current time domain model on-line modeling method and device for an SS type WPT system.
Background
A Wireless Power Transmission (WPT) system based on a string compensation (SS) topology is commonly used in an electric vehicle battery charging application due to its simple structure and its output constant current characteristic, and the circuit topology of the common SS WPT system is shown in fig. 1. The inductive current of the wireless power transmission system is commonly used for soft switching control of the high-frequency converter, and the acquisition of a time domain model of the inductive current is a key for achieving the aim; currently existing related modeling methods such as a discrete mapping time method, a generalized state space average method, an alternating current impedance analysis method and the like need to know relatively accurate device parameters of a system in advance so as to obtain a relatively accurate inductor current time domain model.
Taking the SS-type WPT system shown in FIG. 1 as an example, primary sides S1-S4 are MOSFETs (metal oxide semiconductor field effect transistor), namely DC/AC (direct current/alternating current) units, direct current voltages are converted into high-frequency alternating current voltages, the high-frequency alternating current voltages are injected into a resonant network unit, energy is coupled to a secondary side through coupling coils Lp and Ls, the secondary side realizes AC/DC conversion through diode rectification, and load power is supplied after capacitive filtering; wherein i is Lp The inductor current is obtained by sampling the inductor current with a discrete sampling point, and according to shannon sampling theorem, the inductor current with higher frequency is required to be sampled for relevant control, the sensor is required to have enough bandwidth, the controller has higher sampling frequency, and a time domain model of the current can be accurately restored in the controller, so that the hardware cost of the sampling circuit is high.
Disclosure of Invention
Aiming at the defects of the prior art, the invention firstly provides an inductance current time domain model on-line modeling method for an SS type WPT system according to the system topology and the control method characteristics of a high-frequency converter, and the method can establish the inductance current time domain model on line only by a simple hardware circuit and a low-frequency sampling circuit, thereby saving the hardware cost of the sampling circuit.
In order to achieve the above purpose, the invention is realized by the following technical scheme:
an inductance current time domain model on-line modeling method for an SS type WPT system is characterized by comprising the following steps: the method comprises the following steps:
s1: the inductance current is respectively sent to a first analog multiplier and a second analog multiplier;
s2: multiplying the inductor current by a first unit sinusoidal signal through a first analog multiplier, and simultaneously multiplying the inductor current by a second unit sinusoidal signal through a second analog multiplier, wherein the first unit sinusoidal signal is orthogonal to the second unit sinusoidal signal;
s3: inputting the operation result of the first analog multiplier into a first low-pass filter to obtain a first direct current signal; inputting the operation result of the second analog multiplier into a second low-pass filter to obtain a second direct current signal;
s4: obtaining the amplitude and the phase of the inductance current according to the first direct current signal and the second direct current signal;
s5: and the controller obtains an inductor current time domain model according to the inverter driving angular frequency and the amplitude and the phase of the inductor current obtained in the step S4.
Optionally, the first unit sinusoidal signal is configured in phase with the inverter voltage.
Optionally, in step S4, the method comprises the steps ofDetermining the phase of the inductor current according toDetermining the magnitude of the inductor current, where U D1 U is a first direct current signal output by the first low-pass filter Q1 And outputting a second direct current signal for the second low-pass filter.
Optionally, step S5 obtains an inductor current time domain model as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
wherein i is Lp (t) shows the inductor current at time t, I Lp1 For the magnitude of the inductor current, θ 1 ω is the inverter drive angular frequency, which is the phase of the inductor current.
In addition, the invention also aims to provide an inductance current time domain model on-line modeling device for an SS type WPT system, which is characterized in that: the system comprises a first analog multiplier, a second analog multiplier, a first low-pass filter circuit, a second low-pass filter circuit, a current amplitude phase detection module and a control module loaded with a current time domain model, wherein:
one input end of the first analog multiplier collects inductive current through an analog circuit, and the other input end inputs a first unit sine signal in phase with the inversion voltage;
one input end of the second analog multiplier also collects inductive current through an analog circuit, and the other input end inputs a second unit sinusoidal signal orthogonal to the first unit sinusoidal signal;
the output end of the first analog multiplier forms a first direct current signal after passing through a first low-pass filter circuit; the output end of the second analog multiplier forms a second direct current signal after passing through a second low-pass filter circuit; the current amplitude phase detection module calculates the amplitude and the phase of the inductor current according to the first direct current signal and the second direct current signal, and the control module obtains an inductor current time domain model through the inverter driving angular frequency and the amplitude and the phase of the inductor current.
Optionally, the inductor current time domain model established by the control module is:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
wherein i is Lp (t) shows the inductor current at time t, I Lp1 For the magnitude of the inductor current, θ 1 ω is the inverter drive angular frequency, which is the phase of the inductor current.
Optionally, the current amplitude phase detection module firstly followsDetermining the phase of the inductor current and then according to +.>Determining the magnitude of the inductor current, where U D1 U is a first direct current signal output by the first low-pass filter Q1 And outputting a second direct current signal for the second low-pass filter.
The invention has the remarkable effects that:
the method and the device are convenient to realize, greatly reduce the performance requirement on the sampling circuit, and can acquire the amplitude information and the phase information of the inductive current through the low-cost multiplication circuit and the filter circuit, so that the time domain form of the high-frequency inductive current can be accurately restored by utilizing the common controller, and the related control of the wireless power transmission system is convenient to realize.
Drawings
Fig. 1 is a circuit topology construction diagram of a conventional SS type WPT system;
fig. 2 is a schematic block diagram of an inductor current time domain model online modeling apparatus for an SS-type WPT system according to an embodiment of the present invention;
FIG. 3 is a timing diagram of various signals according to an embodiment of the present invention;
FIG. 4 is an equivalent model diagram of the system at each subharmonic;
FIG. 5 is a graph showing the ratio of each impedance to 1 impedance;
FIG. 6 is a graph of actual inductor current signal versus modeled inductor current signal.
Detailed Description
Embodiments of the present invention are described in further detail below with reference to the accompanying drawings and examples. The following examples are illustrative of the invention but are not intended to limit the scope of the invention.
The embodiment firstly provides an inductance current time domain model on-line modeling method for an SS type WPT system, which comprises the following steps:
s1: the inductance current is respectively sent to a first analog multiplier and a second analog multiplier;
s2: multiplying the inductor current by a first unit sinusoidal signal through a first analog multiplier, and simultaneously multiplying the inductor current by a second unit sinusoidal signal through a second analog multiplier, wherein the first unit sinusoidal signal is orthogonal to the second unit sinusoidal signal; when in implementation, the first unit sine signal and the inversion voltage are configured in phase;
s3: inputting the operation result of the first analog multiplier into a first low-pass filter to obtain a first direct current signal; inputting the operation result of the second analog multiplier into a second low-pass filter to obtain a second direct current signal;
s4: obtaining the amplitude and the phase of the inductance current according to the first direct current signal and the second direct current signal; in practice, the method is carried out according toDetermining the phase of inductor currentAccording to->Determining the magnitude of the inductor current, where U D1 U is a first direct current signal output by the first low-pass filter Q1 A second direct current signal output by the second low-pass filter;
s5: the controller obtains an inductor current time domain model according to the inverter driving angular frequency and the amplitude and the phase of the inductor current obtained in the step S4, and the inductor current time domain model is obtained specifically as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
wherein i is Lp (t) shows the inductor current at time t, I Lp1 For the magnitude of the inductor current, θ 1 ω is the inverter drive angular frequency, which is the phase of the inductor current.
Based on the above method, the embodiment further provides an on-line modeling device for an inductance current time domain model of an SS-type WPT system, as shown in fig. 2, including a first analog multiplier, a second analog multiplier, a first low-pass filter circuit, a second low-pass filter circuit, a current amplitude phase detection module, and a control module loaded with the current time domain model, wherein:
one input end of the first analog multiplier collects inductive current through an analog circuit, and the other input end inputs a first unit sine signal in phase with the inversion voltage;
one input end of the second analog multiplier also collects inductive current through an analog circuit, and the other input end inputs a second unit sinusoidal signal orthogonal to the first unit sinusoidal signal;
the output end of the first analog multiplier forms a first direct current signal after passing through a first low-pass filter circuit; the output end of the second analog multiplier forms a second direct current signal after passing through a second low-pass filter circuit; the current amplitude phase detection module calculates the amplitude and the phase of the inductor current according to the first direct current signal and the second direct current signal, and the control module obtains an inductor current time domain model through the inverter driving angular frequency and the amplitude and the phase of the inductor current.
As can be seen in connection with fig. 2, the present invention samples the inductor current i through an analog circuit Lp Will i Lp Sending the signals into an analog multiplier, and multiplying a unit sinusoidal signal Srd in phase with the inversion voltage and a unit sinusoidal signal Srq orthogonal to the Srd respectively, wherein the time sequence diagram of each signal is shown in FIG. 3; the output of the analog multiplier is filtered by a low-pass filter to obtain a group of direct current signals Ud and Uq, the amplitude and phase information of the current are extracted by a current amplitude phase detection module and are sent into a controller, a time domain model of the inductor current can be obtained according to an online current modeling algorithm, and the time domain model of the inductor current established by the control module is as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
because Ud and Uq are direct current signals, the sampling frequency requirement on the controller is not high, and the current at any moment can be obtained by calculation in the controller after the current time domain model is obtained.
For further understanding of the effect of the present invention, the following analysis is made on the principle:
first, for the SS-type WPT system, under the action of each subvoltage harmonic, the equivalent model of each subharmonic of the system is shown in fig. 4, wherein upn is n subharmonic voltage, and for the phase-shift controlled inverter, the output voltage time domain expression is shown in formula (1).
As can be seen from equation (1), the inverter output voltage only contains odd harmonics, and according to the circuit principle, the system KVL equation under each subharmonic is written:
by solving the KVL equation, the input impedance under each voltage action can be obtained as follows:
wherein:
the relationship between the ratio of the high-order impedance to the 1-order impedance is shown in fig. 5, and it can be seen that the 3-order impedance is 6 times as high as the 1-order impedance.
For a loosely coupled SS topology, therefore, the fundamental current is a dominant part, so the higher harmonic current can be ignored, and the inverted output current can be written as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 ) (5)
then, the analog sampling inductance current is sent to an analog multiplier to be multiplied by the modulating signals Srd and Srq, and the output signal of the multiplier can be obtained as follows:
after the output of the analog multiplier passes through the low-pass filter, a group of direct current signals Ud and Uq are obtained, and the direct current signals do not need to be sampled by a high-frequency sampling circuit, as shown in a formula (7):
finally, ud and Uq extracted current amplitude information and phase information are obtained according to formula sampling, and the extraction method is shown in formula (8).
After the current amplitude and phase information is obtained, the frequency information is known, that is, the inversion driving frequency given by the controller, according to the formula (5), a time domain model of the inductor current can be built in the controller.
The simulation result is shown in fig. 6, and it can be known that the current time domain model established in the controller is close to the actual current time domain model, so that the error is small, and the effectiveness and accuracy of the method are verified.
In summary, the invention provides an on-line modeling method and device for an inductor current time domain model of an SS type WPT system, which aim at the defect that accurate system parameters are needed in the past inductor current modeling, greatly reduce the performance requirement on a sampling circuit through a quadrature signal modulation principle, and acquire the amplitude information and the phase information of the inductor current through a low-cost multiplication circuit and a filter circuit, thereby accurately restoring the time domain form of the high-frequency inductor current by using a common controller and being convenient for realizing the parameter control of a wireless power transmission system.
The foregoing is only a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art, who is within the scope of the present invention, should make equivalent substitutions or modifications according to the technical scheme of the present invention and the inventive concept thereof, and should be covered by the scope of the present invention.
Claims (7)
1. An induction current time domain model on-line modeling method for an SS type WPT system is characterized by comprising the following steps:
s1: the inductance current is respectively sent to a first analog multiplier and a second analog multiplier;
s2: multiplying the inductor current by a first unit sinusoidal signal through a first analog multiplier, and simultaneously multiplying the inductor current by a second unit sinusoidal signal through a second analog multiplier, wherein the first unit sinusoidal signal is orthogonal to the second unit sinusoidal signal;
s3: inputting the operation result of the first analog multiplier into a first low-pass filter to obtain a first direct current signal; inputting the operation result of the second analog multiplier into a second low-pass filter to obtain a second direct current signal;
s4: obtaining the amplitude and the phase of the inductance current according to the first direct current signal and the second direct current signal;
s5: and the controller obtains an inductor current time domain model according to the inverter driving angular frequency and the amplitude and the phase of the inductor current obtained in the step S4.
2. The online modeling method of an inductor current time domain model for an SS-type WPT system according to claim 1, wherein: the first unit sinusoidal signal is configured in phase with the inverter voltage.
3. An inductor current time domain model on-line modeling method for SS type WPT system as claimed in claim 2, wherein: in step S4, firstly according toDetermining the phase of the inductor current and then according to +.>Determining the magnitude of the inductor current, where U D1 U is a first direct current signal output by the first low-pass filter Q1 And outputting a second direct current signal for the second low-pass filter.
4. An inductor current time domain model on-line modeling method for SS type WPT system as claimed in claim 1 or 3, wherein: step S5, obtaining an inductor current time domain model as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
wherein i is Lp (t) shows the inductor current at time t, I Lp1 For the magnitude of the inductor current, θ 1 ω is the inverter drive angular frequency, which is the phase of the inductor current.
5. An inductance current time domain model on-line modeling device for an SS type WPT system is characterized in that: the system comprises a first analog multiplier, a second analog multiplier, a first low-pass filter circuit, a second low-pass filter circuit, a current amplitude phase detection module and a control module loaded with a current time domain model, wherein:
one input end of the first analog multiplier collects inductive current through an analog circuit, and the other input end inputs a first unit sine signal in phase with the inversion voltage;
one input end of the second analog multiplier also collects inductive current through an analog circuit, and the other input end inputs a second unit sinusoidal signal orthogonal to the first unit sinusoidal signal;
the output end of the first analog multiplier forms a first direct current signal after passing through a first low-pass filter circuit; the output end of the second analog multiplier forms a second direct current signal after passing through a second low-pass filter circuit; the current amplitude phase detection module calculates the amplitude and the phase of the inductor current according to the first direct current signal and the second direct current signal, and the control module obtains an inductor current time domain model through the inverter driving angular frequency and the amplitude and the phase of the inductor current.
6. An inductor current time domain model online modeling apparatus for an SS type WPT system as claimed in claim 5, wherein: the inductance current time domain model established by the control module is as follows:
i Lp (t)＝I Lp1 sin(ωt-θ 1 )；
wherein i is Lp (t) shows the inductor current at time t, I Lp1 For the magnitude of the inductor current, θ 1 ω is the inverter drive angular frequency, which is the phase of the inductor current.
7. An inductor current time domain model online modeling apparatus for an SS type WPT system as claimed in claim 5 or 6, wherein:
the current amplitude phase detection module firstly followsDetermining the phase of the inductor current according toDetermining the magnitude of the inductor current, where U D1 U is a first direct current signal output by the first low-pass filter Q1 And outputting a second direct current signal for the second low-pass filter.
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