CN106685103B - Parameter setting method of L CC L resonance structure - Google Patents

Parameter setting method of L CC L resonance structure Download PDF

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CN106685103B
CN106685103B CN201611206031.8A CN201611206031A CN106685103B CN 106685103 B CN106685103 B CN 106685103B CN 201611206031 A CN201611206031 A CN 201611206031A CN 106685103 B CN106685103 B CN 106685103B
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汪小娜
高键鑫
吴旭升
高嵬
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Naval University of Engineering PLA
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Abstract

The invention discloses a parameter setting method of an L CC L resonant structure, which comprises a resonant inductor, an electromagnetic induction type wireless Power transmission (ICPT) system electric energy transmitting end coil, a parallel resonant capacitor and a series resonant capacitor, wherein the ICPT system electric energy transmitting end coil is connected with the series resonant capacitor in series, then is connected with the parallel resonant capacitor in parallel, and then is connected with the resonant inductor in series, and a method of compensating L CC L resonant structure input end higher harmonic current by adopting L CC L resonant structure input end fundamental current is adopted to give a parameter design relation of the structure and give different constraint conditions, so that the problem of nonlinear programming is established, the parameter setting is realized, and the purpose that an ICsystem PT full-bridge inverter connected with an L CC L resonant structure works in a zero current turn-off state is achieved.

Description

Parameter setting method of L CC L resonance structure
Technical Field
The invention relates to the technical field of wireless power transmission, in particular to a power transmitting end resonance structure of an electromagnetic induction type non-contact power transmission system.
Background
An electromagnetic induction type wireless Power Transfer (ICPT) system utilizes the principle of electromagnetic induction and adopts the mode of electromagnetic resonance to realize non-contact transmission of electric energy. Compared with the laser and microwave carrier mode, the technology has the advantages of no influence of middle nonmagnetic barriers and small influence on organisms, and is one of the best modes for transmitting high-power electric energy in a short distance of less than 10m in a non-contact manner. The ICPT technology provides a new feasible solution for solving the problems of mobile power supply of a maglev train, power supply of an embedded medical device in a closed space, monitoring electric energy transmission without an underwater cable, wireless charging of an electric automobile and the like.
The wireless power transmission technology based on the electromagnetic induction principle at present has a resonant network structure aiming at the coil leakage inductance, namely a magnetic coupling resonant structure, the prior art mainly adopts a first-order basic structure and a second-order L C structure, and a small number of three-order resonant network structures, in the aspect of the three-order resonant network, most of the ideas of soft switch resonant converters are used for reference, and the L C L resonant structure is mainly used.
L C L resonant network structure increases output power capability of ICPT system greatly by means of resonance, and utilizes frequency selection characteristic of the structure when resonant, current waveform of input coil presents quasi sine wave waveform, electromagnetic interference is reduced indirectly, besides, L C L resonant structure can solve circulation problem between coil parallel capacitance and high frequency inverter, therefore, L C L resonant network has better performance compared with other resonant networks so far, and is the mainstream technical direction in this field.
At present, in the design of adopting L C L three-order structure as resonance compensation structure, it is a symmetrical structure, i.e. two-port network input and output are completely symmetrical, and input two port and output two port can be interchanged, so that it is intended to ensure that input impedance and output impedance have no reactance component and all present pure resistance characteristics, and it is intended to attain the goal of inverter zero-voltage turn-on (ZVS) and zero-current turn-off (ZCS).
Disclosure of Invention
Aiming at the prior art, the technical problem to be solved by the invention is to overcome the defects in the prior art, and provide a parameter setting method of an L CC L resonant structure, which can realize zero current turn-off of an ICPT system inverter.
The invention discloses a parameter setting method of an L CC L resonance structure, which comprises the following steps:
step 1, determining L resonance frequency f adopted by CC L resonance structure0=Qf0L CC L harmonic is obtained according to formula (1) and formula (2)Resonant angular frequency omega of vibration structure0
f0=Qf0(1)
ω0=2πf0(2)
Step 2: coupling coil resonance frequency f at the transmitting end0Next, an ICPT power transmitting end coil inductance L 'was measured'2L of inductance value2Is QL2ICPT electric energy transmitting end coil alternating current resistor R'lResistance value R oflIs QRlAt this time Rl=QRlMeasuring ICPT system electric energy receiving end reflection impedance Z'fIs a reflection impedance value Zf(coupling coil resonance frequency f at transmitting end0Lower determination) of ZfThe resistance portion is denoted as QZf,Zf=QZf
Step 3, determining L CC L resonant structure component parameter relation by using a method of compensating high-order harmonic current by using fundamental current:
Figure BDA0001190032990000021
Figure BDA0001190032990000022
Figure BDA0001190032990000023
L2=QL2(3D)
Rl=QRl(3E)
Zf=QZf(3F)
and 4, obtaining a relation that the voltage of the L CC L structural component meets the following relation according to the relation among the L CC L resonant structural component parameters in the step 3:
Figure BDA0001190032990000031
Figure BDA0001190032990000032
UL1=Iout(Rl+Zf) (4C)
UL2=ω0IoutL2(4D)
and 5, obtaining a L CC L structural component current satisfying relation according to the relation among L CC L resonant structural component parameters in the step 3:
Figure BDA0001190032990000033
IC2=Iout(5B)
Figure BDA0001190032990000034
IL2=Iout(5D)
step 6, determining L CC L resonant structure rated output power Pout,nomThereby obtaining L CC L resonant structure output power PoutSatisfies the relationship:
Pout=Iout 2(Zf)≥Pout,nom(6)
and 7: determining capacitance C'1Withstand voltage value UC1Maximum value of UC1maxCapacitor C'2Withstand voltage value UC2Maximum value of UC2maxInductor L'1Withstand voltage value UL1Maximum value of UL1maxInductor L'2Withstand voltage value UL2Maximum value of UL2maxAnd obtaining the withstand voltage of the component which meets the condition:
0<UC1≤UC1max(7A)
0<UC2≤UC2max(7B)
0<UL1≤UL1max(7C)
0<UL2≤UL2max(7D)
and 8: determining capacitance C'1Allowing a current value I to flowC1Maximum value of (1)C1maxCapacitor C'2Allowing a current value I to flowC2Maximum value of (1)C2maxInductor L'1Allowing a current value I to flowL1Maximum value of (1)L1maxInductor L'2Allowing a current value I to flowL2Maximum value of (1)L2maxTherefore, the component allowed current value satisfies the condition:
0<IC1≤IC1max(8A)
0<IC2≤IC2max(8B)
0<IL1≤IL1max(8C)
0<IL2≤IL2max(8D)
and step 9: determining capacitance C'1The capacitance C is obtained under practical conditions1Minimum parameter value C of1minDetermining capacitance C'1The capacitance C is obtained under practical conditions1Maximum parameter value C of1max
Determining capacitance C'2The capacitance C is obtained under practical conditions2Minimum parameter value C of2minDetermining capacitance C'2The capacitance C is obtained under practical conditions2Maximum parameter value C of2max
Determining inductor L'1Obtaining an inductance value L under practical conditions1Minimum parameter value L1minDetermining an inductance L'1Obtaining an inductance value L under practical conditions1Maximum parameter value of
Figure BDA0001190032990000041
Therefore, the actual values of the component parameters of the L CC L resonance structure meet the conditions that:
C1min≤C1≤C1max(9A)
C2min≤C2≤C2max(9B)
Figure BDA0001190032990000042
step 10:determining UC1Weight coefficient k1,UC2Weight coefficient k2,UL1Weight coefficient k3,UL2Weight coefficient k4,IC1Weight coefficient k5,IC2Weight coefficient k6,IL1Weight coefficient k7,IL2Weight coefficient k8Thus, the target function expression for achieving the optimum parameter value of the L CC L resonance structure is obtained:
Z=k1UC1 2+k2UC2 2+k3UL1 2+k4UL2 2+k5IC1 2+k6IC2 2+k7IL1 2+k8IL2 2(10)
step 11: building a non-linear programming problem with Vin、IoutFor decision variables, the minimum objective function is an optimization objective, and the equality relation and inequality relation obtained in the steps 1, 3 to 10 are constraint conditions;
step 12, solving the nonlinear programming problem in the step 12 to obtain parameters L meeting L CC L resonance structure1、C1、C2And VinA value of (d);
step 13, calculating an equivalent direct current voltage value V of L CC L resonance structure parameters corresponding to the ICPT system inverter sidedc
Figure BDA0001190032990000043
Further, when the bandwidth of the actual connecting wire is lower than 100 times of the fundamental frequency, the relation between the parameters of the L CC L resonant structure components in the step 3 is as follows:
Figure BDA0001190032990000051
the L CC L structure in the invention comprises a resonance inductor, an ICPT system electric energy transmitting end coil, a parallel resonance capacitor and a series resonance capacitor,an ICPT system electric energy transmitting end coil is connected in series with a series resonance capacitor, then connected in parallel with a parallel resonance capacitor and then connected in series with a resonance inductor, and an equivalent circuit corresponding to the structure is inductor L'2And capacitor C'2And ICPT system electric energy transmitting end coil alternating current resistor R'lAnd reflection impedance Z 'of electric energy receiving end of ICPT system'fAfter forming a serial branch, the capacitor C 'is connected with'1Form a parallel branch circuit and finally carry out L'1Form a series branch, respectively RlIs R'lResistance value of, ZfIs Z'fReflection resistance value of C1Represents capacitance C'1Capacitance value of (C)2Represents capacitance C'2Capacitance value of (L)1Represents an inductance L'1Value of inductance of L2Represents an inductance L'2Particularly illustrating the inductance L 'in the circuit'2And capacitor C'2And ICPT system electric energy transmitting end coil alternating current resistor R'lAnd reflection impedance Z 'of electric energy receiving end of ICPT system'fAnd capacitor C'1And inductor L'1All components are L CC L structure components, and satisfy:
resonance inductance and series resonance capacitance at angular frequency omega0Form resonance, i.e.
Figure BDA0001190032990000052
ZfDecomposable into a reactive component XfAnd a resistance component RfThe power receiving end of ICPT system is impedance-converted to eliminate its reactance component XfRetaining only its resistance component Rf
C2Has a value of greater than
Figure BDA0001190032990000053
And is less than
Figure BDA0001190032990000054
In an ICPT system application, there is generally only one capacitor, which is called L C L resonant structure because of L2The inductor of the electric energy transmitting end coil of the ICPT system usually presents larger inductive reactance, and high-frequency alternating current is directly injected into an L C L resonant structure, so that the amplitude of the current value injected into a L C L resonant structure is too small, and the electric energy transmitting end coil of the ICPT system connected behind the L C L resonant structure cannot be effectively driven to generate a stronger high-frequency alternating magnetic field.
The meaning of the parameter, P, in the L CC L resonant structure is first definedout,nomRated output power, f, for output L CC L resonant structure0Is L CC L structure resonance frequency, VinAn input voltage effective value, R, of L CC L structurefIs a resistance component, X, of the reflected impedance of the power receiving end of the ICPT systemfThe reactance component of the impedance is reflected by the power receiving end of the ICPT system. Coupling coil resonance frequency f at the transmitting end0Measuring the reflection impedance Z of the power receiving end of the ICPT systemfTransmitting coil inductor L2And is combined with ZfThe resistance component is denoted as RfThe reactance component being denoted Xf
Input fundamental current value expression (11) of L CC L resonant structure at the moment of ICPT system inverter switching:
Figure BDA0001190032990000061
wherein the content of the first and second substances,
Figure BDA0001190032990000062
in the formula VdcFor the output voltage amplitude, I, of the inverter of the ICPT systemin,1Input fundamental current value expression for L CC L resonant structure, Iin,off,1Input fundamental current value expression, C, of resonant structure of inverter switching time L CC L of ICPT system2、Iin,1Is an unknown quantity.
If the dead zone interruption of the inverter is ignored, the square wave voltage value output by the inverter can be expanded into a Fourier series form shown in an equation (8), wherein when t is 0, the square wave voltage value corresponds to the switching time of the inverter of the ICPT system.
Figure BDA0001190032990000063
Since the L CC L type resonant network circuit structure has good low-pass filtering characteristic, if only V is consideredinFundamental wave, neglecting higher harmonics, obtaining VinApproximate values of (a):
Figure BDA0001190032990000064
according to the circuit structure of L CC L, the relation shown in (15A) (15B) is as follows:
Figure BDA0001190032990000065
Figure BDA0001190032990000066
when L1And C1When the formula (16) is satisfied, the coil injection current value IoutTwo-port input voltage V of resonant network only with L CC LinRelated to the reflected impedance ZfIs irrelevant.
Figure BDA0001190032990000067
At this point L1And C1At an angular frequency of fundamental angular frequency omega0Resonance is formed. Thus, equation (17) holds.
Iout=-jω0C1Vin(17)
When only the fundamental wave is considered, the input current value of the L CC L resonant network is
Figure BDA0001190032990000071
Equation (18) is L CC L resonant network two-port input current, IinNeutral-divided fundamental current Iin,1In addition, it also contains a large amount of higher harmonic current Iin,n(n-3, 5,7, …). I can be transformed by Fourier decompositioninIs unfolded into the form of the formula (19),
Figure BDA0001190032990000072
when t is 0, it corresponds to the switching time of the inverter of the ICPT system. The sum of harmonic waves of the output current of the inverter at the switching moment is
Figure BDA0001190032990000073
When the electric energy receiving end is in a capacitance series compensation mode, the reflection resistance and the reflection reactance are increased along with the harmonic frequency, and the trends of the formulas (21) and (22) are presented. Wherein R isf,n,serThe reflection resistance value X reflected to the electric energy transmitting end when the electric energy receiving end of the ICPT system adopts a capacitance series compensation modef,n,serThe reflected reactance value R reflected to the electric energy transmitting end when the electric energy receiving end of the ICPT system adopts a capacitance series compensation modeload,0The value is the load resistance of the electric energy receiving end, n is the harmonic order, Q is the quality factor of the resonance circuit of the electric energy receiving end, and oc represents the direct proportion relation.
Figure BDA0001190032990000074
Xf,n,ser∝n (22)
When the compensation form of the electric energy receiving end is that the capacitors are connected in parallel, the reflection resistance is 0, and the reflection reactance increases along with the harmonic frequency, as shown in formulas (23) and (24). Wherein R isf,n,parThe reflection resistance value X reflected to the electric energy transmitting end when the electric energy receiving end of the ICPT system adopts a capacitance parallel compensation modef,n,parThe reactance value of the reflected power is the value of the reflected reactance reflected to the power transmitting end when the power receiving end of the ICPT system adopts a capacitance parallel compensation mode, n is the harmonic order,and oc represents a proportional relationship.
Figure BDA0001190032990000075
Xf,n,par∝n (24)
It can be known that, when the harmonic frequency is higher, the reactance of the input end of the coupling coil increases with the increase of the harmonic frequency, and the C is connected with the branch of the coupling coil in parallel1The reactance of the capacitor branch is rapidly smaller. Therefore, when the harmonic current is calculated, the current at the input port of the coupler can be ignored, the current branch of the coupler can be simplified, and when the angular frequency omega is n omega0At time, L CC L resonant structure input impedance is
Figure BDA0001190032990000081
Order to
Figure BDA0001190032990000082
Equation (25) can be simplified to
Figure BDA0001190032990000083
Therefore, the equation (11) holds for the input harmonic current instantaneous value I of the L CC L resonant structurein,off,nRepresented by formula (27):
Figure BDA0001190032990000084
thereby having
Figure BDA0001190032990000085
And because of
Figure BDA0001190032990000086
Therefore, the first and second electrodes are formed on the substrate,
Figure BDA0001190032990000087
as the fundamental frequency is mostly above 20kHz, the frequency of higher harmonic wave is above 2MHz after over 100 harmonics in an actual line, and the frequency is limited by the high-resistance characteristic of L CC L resonant network and the bandwidth of cables for connecting L CC L elements, and the 101 th harmonic wave is Iin,off,highThe influence of (2) is only 0.001%, and the 101 th harmonic component and above is to Iin,off,highThe influence of (c) is already small and negligible. Therefore, the computer program can be adopted to calculate the current value I of all higher harmonics under the harmonic wave of less than 100in,off,highApproximated (free of fundamental component) as in equation (29):
Figure BDA0001190032990000088
switching time fundamental wave current I of inverterin,off,1And higher harmonic current Iin,off,highAdding to obtain the instantaneous value I of the total current passing through the L CC L resonant structure at the moment of switching of the inverterin(t ═ 0), calculated according to equation (26):
Figure BDA0001190032990000091
it is clear that the formula (31) holds,
Figure BDA0001190032990000092
namely, it is
Figure BDA0001190032990000093
In practical circumstances, limited by the wire bandwidth, only the fundamental wave and the following harmonics of order 100 are generally considered, and in order to make the inverter in the zero-current off state, it is necessary to ensure that the output current is in phase with the output voltage at the moment of switching the inverter, and equation (33) should be satisfied:
Figure BDA0001190032990000094
because the power factor correction technology is generally adopted by the electric energy receiving end in the ICPT system, the electric energy receiving end meets XfIs equal to 0, thus C2Satisfies the following conditions:
Figure BDA0001190032990000095
therefore, from the formula (32), correspondingly C2Satisfy the range of
Figure BDA0001190032990000096
Further, the operating characteristics of the L CC L resonant structure were analyzed, and the fundamental wave angular frequency ω can be found by the analysis formula (18)0At the bottom, L CC L resonant network inputs fundamental current Iin,1Comprising a fundamental active current component Iin,1,aAnd a fundamental reactive current component Iin,1,rCan be described as formula (35-37)
Iin,1=Iin,1,a+Iin,1,r(35)
Iin,1,a=Vinω0 2C1 2(Rl+Zf) (36)
Figure BDA0001190032990000097
When the L CC L resonant network of the invention is adopted, the frequency of the fundamental wave angular frequency omega is0The fundamental reactive current of the lower input L C L resonant network is
Figure BDA0001190032990000101
Wherein C is2,symAdopts a symmetrical L C L resonant network C2Capacitance value of C2,asymL CC L type resonant network C proposed by the invention2Capacitance value, inThe symmetric L C L resonant network parameters and the L CC L resonant network parameters provided by the invention are distinguished by a mark, wherein a subscript sym corresponds to symmetric (symmetry) L C L resonant network parameters, and a subscript asym corresponds to L CC L resonant network parameters provided by the invention.
At this time, the phase of the fundamental reactive current leads L CC L resonant network input port voltage phase pi/2, and the fundamental angular frequency omega0The method for compensating the phase of the high-order current harmonic wave lagging input voltage by utilizing the leading input voltage phase of the reactive current of the fundamental wave forms a zero current state or an approximate zero current state at the moment of turning off the inverter, thereby greatly reducing the switching loss of the inverter, improving the efficiency of an ICPT system at the electric energy transmitting end.
However, when the L CC L resonant structure is adopted, part of fundamental wave reactive current is introduced, so that the apparent power is increased to a certain extent, and the specific expression is that when the L CC L resonant structure is adopted, the effective value of the on-state current of the inverter is slightly larger than that when the symmetrical L C L structure is adopted.
The real and reactive power of the fundamental wave input to the L CC L resonant structure can be represented by equations (39-41),
Figure BDA0001190032990000102
Figure BDA0001190032990000103
Q1,sym=0 (41)
P1.symactive power, P, output for a symmetrical L C L resonant structure1.asymL CC L harmonic with the parameter relationship of the inventionActive power, Q, of the vibrating structure output1.symReactive power, Q, output for a symmetrical L C L resonant structure1.asymReactive power, V, output for L CC L resonant structure with parameter relationship of the inventionin,1The effective value of the fundamental voltage of the output voltage of the inverter of the ICPT system.
As can be seen from the simplified model of the L CC L resonant network under the higher harmonics in fig. 3, the higher harmonics do not provide active power to the coupling coil in the L CC L resonant structure of the present invention, only the fundamental wave provides active power to the coupling coil, and the higher harmonics provide only reactive power, which can be obtained from equation (26), and the reactive power of the higher harmonics under both structures is,
Figure BDA0001190032990000111
in the formula Qn.symReactive power, Q, output for n-th harmonic of symmetrical L C L resonant structuren.symReactive power, V, output for the n-th harmonic of the L CC L resonant structure of the inventionin,nThe harmonic voltage effective value is the nth harmonic voltage effective value of the output voltage of the ICPT system inverter, and n is the harmonic frequency.
Total high order harmonic reactive power of
Figure BDA0001190032990000112
Generally, only harmonics below 100 are calculated due to the bandwidth limitation of the actual connecting wire, and the result of formula (43) can be calculated by computer programming as shown in formula (44)
Figure BDA0001190032990000113
The symmetrical L C L resonant structure network and the L CC L resonant structure network of the invention input apparent power, namely the inverter outputs apparent power when the symmetrical L C L resonant structure network and the L CC L resonant structure network of the invention are adopted,
Figure BDA0001190032990000114
Figure BDA0001190032990000115
in the formula SsymFor inverter output apparent power, S, when adopting symmetrical L C L resonant structureasymThe inverter outputs apparent power for the L CC L resonant structure with the parameter relationships of the present invention.
From the formulas (45), (46), the apparent power and the coupler internal resistance RlElectric energy receiving end reflection resistor RfL at fundamental frequency1Reactance value Z1It is related. Since the input voltages of the two different types of resonant networks are the same, the ratio of the effective value of the inverter output current when the two different types of resonant networks are adopted can be calculated by the formulas (45) and (46)
Figure BDA0001190032990000121
In practical application, because typical working frequencies of an ICPT system are all above 20kHz, the on-state loss of an ICPT system inverter increased by adopting a L CC L structure with the parameter relationship is far less than the switching loss of the ICPT system inverter reduced by adopting a L CC L structure with the parameter relationship, therefore, in practical application, the L CC L structure with the parameter relationship can reduce the loss of an electric energy transmitting end of the ICPT system to a greater extent and improve the efficiency of the electric energy transmitting end of the ICPT system, in addition, the L CC L resonance structure with the parameter relationship realizes zero current turn-off of an ICPT system inverter power tube, reduces the switching stress of the power tube and can reduce the electromagnetic interference generated by the ICPT system inverter to a greater extent.
Due to the adoption of the technical scheme, the invention has the following advantages:
(1) by adopting the L CC L resonance structure parameter setting method provided by the invention, the instantaneous value of the current passing through the power tube at the turn-off time is zero, the zero current turn-off of the power tube is realized, and the switching loss and the switching stress of the power tube are reduced.
(2) L CC L resonant structure output current effective value (namely line)Effective value of loop injection current) IoutIs Iout=-jω0C1VinAnd a resistance component R in the reflected impedancefAnd the decoupling design of the electric energy transmitting end and the electric energy receiving end of the ICPT system is realized.
Drawings
Fig. 1 is a schematic diagram of L CC L resonant structure proposed by the present invention.
Fig. 2 is an equivalent circuit diagram of L CC L resonant structure proposed by the present invention.
Fig. 3 is a schematic diagram of a simplified model of the L CC L resonant network at higher harmonics.
FIG. 4 is a graph showing the relationship between the output voltage, current and driving signal of the ICPT system inverter of L CC L resonant structure when the parameter design method of the present invention is adopted.
FIG. 5 is a waveform of the input current of the L CC L resonant structure proposed by the present invention at near full load condition.
FIG. 6 is a waveform diagram of the input current of the L CC L resonant structure under the condition of near no-load.
Fig. 7 is a graph showing the variation trend of the ratio of the effective values of the inverter output currents of the ICPT system.
Fig. 8 is a graph comparing the single IGBT loss tendency of an ICPT system inverter using a conventional L C L resonant structure and the L CC L resonant structure of the present invention.
Fig. 9 is a flowchart of a parameter setting method of the L CC L resonant structure proposed by the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to the accompanying drawings. The specific embodiments described herein are merely illustrative of the invention and are not intended to be limiting.
The invention provides an L CC L type resonance structure for an ICPT system, which is shown in figure 1 and comprises a resonance inductor 110, an ICPT system electric energy transmitting end coil 111, a parallel resonance capacitor 211 and a series resonance capacitor 210, wherein after the ICPT system electric energy transmitting end coil 111 is connected with the series resonance capacitor 210 in series and then connected with the parallel resonance capacitor 211 in parallel,the equivalent circuit is shown in FIG. 2, and the equivalent circuit corresponding to the structure is inductor L'2And capacitor C'2And ICPT system electric energy transmitting end coil alternating current resistor R'lAnd reflection impedance Z 'of electric energy receiving end of ICPT system'fAfter forming a serial branch, the capacitor C 'is connected with'1Form a parallel branch circuit and finally carry out L'1Form a series branch, respectively RlIs R'lResistance value of, ZfIs Z'fReflection resistance value of C1Represents capacitance C'1Capacitance value of (C)2Represents capacitance C'2Capacitance value of (L)1Represents an inductance L'1Value of inductance of L2Represents an inductance L'2The inductance value of (c). Q1、Q2、Q3、Q4To switch tubes, D1、D2、D3、D4The switching Transistor of the ICPT system of the embodiment is selected as an Insulated Gate Bipolar Transistor (IGBT) for the diode. D1、D2、D3、D4In order to correspond to the anti-parallel diode of the IGBT, the present embodiment employs a fast recovery diode. Capacitor C1、C2Metallized polypropylene capacitors are used. . VinEffective value of input voltage of L CC L resonant structure, the embodiment VinThe voltage was 129V.
FIG. 3 is a schematic diagram of a simplified model of the L CC L resonant network at higher harmonics, when the harmonic order is higher, the reactance at the input of the coupling coil increases with the harmonic order, and the C is connected in parallel with the branch of the coupling coil1The reactance of the capacitor branch is rapidly smaller, so that the current at the input port of the coupler can be ignored when the calculation of the high-order harmonic current is carried out, and the current branch of the coupler is simplified, as shown by the dotted line part in fig. 3, and the solid line part in fig. 3 forms a simplified model of L CC L resonant network.
FIG. 5 is a waveform diagram of the input current of L CC L type resonant structure of ICPT system according to the present invention when the parameters of the present embodiment are adopted, the signal bandwidth of the voltage probe is 200MHz, the signal bandwidth of the current probe is 100MHz, and the signal bandwidth is for clearer observationThe voltage and current peak condition of the sample machine is inspected, and the noise filter of the oscilloscope is closed. In fig. 4, from top to bottom, the 1-channel signal is the voltage waveform of the driving signal of the single IGBT of the inverter, and the 2-channel signal is the voltage V between the collector and the emitter of the single IGBT of the inverterceThe waveform of the 4-channel resonant network input current is L CC L.
FIG. 6 is a waveform diagram of an input current of L CC L type resonant structure of an ICPT system according to the present invention when the reflected impedance of the power receiving end of the ICPT system is decreased and the power emitting end of the ICPT system is close to no-load by using the parameters of the present embodiment, wherein in FIG. 5, from top to bottom, a 1-channel signal is a voltage waveform of a driving signal of a single IGBT of an inverter, and a 2-channel signal is a voltage V between a collector and an emitter of the single IGBT of the inverterceThe waveform of the 4-channel resonant network input current is L CC L.
As can be seen from fig. 5 and 6, the L CC L resonant structure provided by the invention can realize zero current turn-off of the inverter power tube of the ICPT system, reduce the switching loss and switching stress of the switching tube, and improve the overall efficiency of the ICPT system.
FIG. 7 shows (R)l+Rf)/Z1To Iasym(rms)/Isym(rms) influence simulation chart, and when (R) is observed in FIG. 7l+Rf)/Z1When equal to 0, Iasym(rms)/Isym(rms) is a maximum, approximately 3.3 times, which corresponds to ignoring the internal coupler resistance RlAnd no reflective impedance (zero load at the power receiving end). Due to Z1Is L CC L resonant network parameter, which is a fixed value RlFor the coupler internal resistance parameter, this parameter is also a fixed value. Only RfIn order to reflect impedance, ICPT systems vary with the operating conditions of the load when operating. As can be seen in FIG. 7, with RfIncrease, (R)l+Rf)/Z1The ratio of (A) is increased, the ratio of the effective value of the output current of the inverter is reduced and rapidly approaches 1 when (R) is increasedl+Rf)/Z1When the ratio of (A) to (B) is 2, Iasym(rms)/IsymThe (rms) ratio is 1.004, namely the effective value of the output current of the inverter is higher than that of the output current of the inverter when the L CC L structure of the invention is adoptedThe current effective value is increased by only 0.4% in the conventional L C L structure, so that the on-state loss of the switching tube is almost negligible.
Fig. 8 is a comparison graph of the loss trend of a single IGBT of an ICPT system inverter under a conventional L C L resonant structure and an ICPT system inverter under an ICPT system resonant structure employing L CC L resonant structure having the parameter relationship of the present invention, wherein a curved surface 1 represents a trend of the loss trend of a single IGBT of an inverter under a conventional L C L resonant structure network, and a curved surface 2 represents a trend of the loss trend of a single IGBT of an inverter under a L CC L resonant structure having the parameter relationship of the present invention, fig. 7 shows that the loss trend of the single IGBT of the inverter is gradually increased as the output current amplitude of the resonant structure is increased and the switching frequency of the inverter is increased when two different resonant structures are employed, but when a conventional L C L resonant structure is employed, the loss power of the IGBT is increased rapidly as the switching frequency is increased, when the switching frequency is 500Hz or more, the loss power of the single IGBT of the inverter is significantly higher than the loss power pt of the IGBT under the conventional L C L C resonant structure when the conventional L CC L resonant structure is employed, and when the switching frequency is higher than the typical operating frequency of the ICPT system is above 500 kHz, so that the total ICPT of the present invention can effectively increase the loss efficiency.
Further, according to the flowchart shown in fig. 9, the specific implementation steps of the parameter setting method of the present invention are illustrated:
step 1, firstly determining L CC L resonance frequency f adopted by resonance structure0=Qf040000Hz, the resonance angular frequency equation constraint of L CC L resonance structure is obtained:
f0=Qf0=40000Hz
ω0=2πf0=2×π×40000rad/s
step 2: coupling coil resonance frequency f at the transmitting end0Measuring coil inductance L at 40000Hz of ICPT power transmitting terminal2Has a value of QL2105.6965 mu H, ICPT electric energy transmitting end coil alternating current internal resistance RlHas a value of QRlMeasuring the reflection impedance Z of the power receiving end of the ICPT system under the condition of 0.05 omega f2 Ω (resonance frequency f of coupling coil at transmitting end)0Lower determination) of ZfThe resistance portion is denoted as QZf=2Ω。
And 3, obtaining a constraint condition of a parameter equation of the L CC L resonant structure component from the parameter relation of the L CC L resonant structure component:
Figure BDA0001190032990000151
Figure BDA0001190032990000152
Figure BDA0001190032990000153
L2=QL2
Rl=QRl
Zf=QZf
step 4, obtaining constraint conditions of a L CC L structural element voltage equation according to the parameter relation of the L CC L resonance structural element component:
Figure BDA0001190032990000154
Figure BDA0001190032990000155
UL1=Iout(Rl+Zf)
UL2=ω0IoutL2
step 5, obtaining current equality constraint conditions of the L CC L structural component according to the parameter relation of the L CC L resonant structural component provided by the invention:
Figure BDA0001190032990000156
IC2=Iout
Figure BDA0001190032990000157
IL2=Iout
step 6, determining L CC L resonant structure rated output power Pout,nom1000W, the L CC L resonant structure output power inequality constraint is obtained:
Pout=Iout 2(Zf)≥1000W
and 7: determining capacitance C'1Withstand voltage value UC1Maximum value of UC1max2500V, capacitance C'2Withstand voltage value UC2Maximum value of UC2max2500V, inductor L'1Withstand voltage value UL1Maximum value of UL1max2000V, inductor L'2Withstand voltage value UL2Maximum value of UL2maxObtaining a withstand voltage inequality constraint condition of the component as 1000V:
0<UC1≤2500V
0<UC2≤2500V
0<UL1≤2000V
0<UL2≤1000V
and 8: determining capacitance C'1Allowing a current value I to flowC1Maximum value of (1)C1max40A, capacitance C'2Allowing a current value I to flowC2Maximum value of (1)C2max40A, inductor L'1Allowing a current value I to flowL1Maximum value of (1)L1max40A, inductor L'2Allowing a current value I to flowL2maxObtaining a component permission constraint condition through a current value inequality:
0<IC1≤40A
0<IC2≤40A
0<IL1≤40A
0<IL2≤40A
and step 9: determining capacitance C'1The capacitance C is obtained under practical conditions1Minimum parameter value C of1minCapacitance C 'was determined at 0.01. mu.F'1The capacitance C is obtained under practical conditions1Maximum parameter value C of1max=1.32μF。
Determining capacitance C'2The capacitance C is obtained under practical conditions2Minimum parameter value C of2minCapacitance C 'was determined at 0.01. mu.F'2The capacitance C is obtained under practical conditions2Maximum parameter value C of2max=1.32μF。
Determining inductor L'1Obtaining an inductance value L under practical conditions1Minimum parameter value L 1min0 muH, determining an inductance of L'1Obtaining an inductance value L under practical conditions1Maximum parameter value of (2):
Figure BDA0001190032990000161
obtaining the constraint condition of an actual available value inequality of the component parameters of the L CC L resonance structure:
0.01μF≤C1≤1.32μF
0.01μF≤C2≤1.32μF
0μH≤L1≤84.5572μH
step 10: determining UC1Weight coefficient k1Determining U as 1C2Weight coefficient k2Determining U as 1L1Weight coefficient k3Determining U as 1L2 Weight coefficient k 41, determining IC1Weight coefficient k5625, determine IC2Weight coefficient k6625, determine IL1Weight coefficient k7625, determine IL2Weight coefficient k8625, the target function expression for achieving the optimum parameter values for the L CC L resonant structure is obtained:
Z=UC1 2+UC2 2+UL1 2+UL2 2+625×(IC1 2+IC2 2+IL1 2+IL2 2)
step 11: with Vin、IoutFor decision variables, the objective function is at a minimumOptimizing the target, wherein the equality relation and the inequality relation obtained in the steps 1, 3 to 10 are constraint conditions, and establishing a nonlinear programming problem:
min Z=UC1 2+UC2 2+UL1 2+UL2 2+625×(IC1 2+IC2 2+IL1 2+IL2 2)
satisfy the requirement of
(a) L CC L element relationship constraint
Figure BDA0001190032990000171
Figure BDA0001190032990000172
Figure BDA0001190032990000173
L2=QL2
Rl=QRl
Zf=QZf
(b) Constraint of resonance frequency
f0=Qf0=40000Hz
ω0=2πf0=2×π×40000rad/s
(c) L CC L structural element voltage relationship
Figure BDA0001190032990000174
Figure BDA0001190032990000175
UL1=Iout(Rl+Zf)
UL2=ω0IoutL2
(d) L CC L structural element current relationship
Figure BDA0001190032990000181
IC2=Iout
Figure BDA0001190032990000182
IL2=Iout
(e) L CC L structural output power constraint
Pout=Iout 2(Zf)≥1000W
(f) Component withstand voltage value constraint
0<UC1≤2500V
0<UC2≤2500V
0<UL1≤2000V
0<UL2≤1000V
(g) Maximum allowable component overcurrent value constraint
0<IC1≤40A
0<IC2≤40A
0<IL1≤40A
0<IL2≤40A
(h) Constraint of actual available value of component parameter
0.01μF≤C1≤1.32μF
0.01μF≤C2≤1.32μF
0μH≤L1≤84.5572μH
Step 12, solving the nonlinear programming problem to obtain the optimum parameter value L of the L CC L resonance structure meeting the actual use requirement1、C1、C2And VinThe value of (c). The results are as follows:
C1≈0.2892μF
C2≈0.4218μF
L1≈54.75μH
Vin≈307.69V
step 13, calculating an equivalent direct current voltage value V of L CC L resonance structure parameters corresponding to the ICPT system inverter sidedc
Figure BDA0001190032990000191
Fig. 4 shows the corresponding relationship between the output voltage, the current and the inverter driving signal of the ICPT system of the L CC L resonant structure when the parameter design method of the present invention is adopted, and fig. 4 shows, from top to bottom, the input voltage waveform of the L CC L resonant structure, the input current waveform of the L CC L resonant structure, the inverter single IGBT driving signal 1 and the inverter single IGBT driving signal 2.
As can be seen from fig. 4, as seen from the instantaneous value of the output current of the inverter at the switching time corresponding to the dotted line in the figure, at the moment of switching off the IGBT of the inverter, the current value of the IGBT is reduced to 0, and the IGBT enters the freewheeling state of the anti-parallel diode, so that the zero-current switching off of the switching tube of the inverter is realized.
The above are examples of the present invention, and are intended to be illustrative and not limiting. Other variations may be made on the above description and it is not necessary, nor exhaustive, to claim all embodiments. All changes made according to the technical scheme of the invention belong to the protection scope of the invention when the adopted structure and the parameter design method thereof do not exceed the scope of the technical scheme of the invention.

Claims (2)

1. An L CC L resonance structure parameter setting method includes a resonance inductor (110), an ICPT system electric energy transmitting end coil (111), a parallel resonance capacitor (211) and a series resonance capacitor (210), wherein the ICPT system electric energy transmitting end coil (111) is connected with the series resonance capacitor (210) in series, then connected with the parallel resonance capacitor (211) in parallel, and finally connected with the resonance inductor (110) in series, and an equivalent circuit corresponding to the structure is inductor L'2And capacitor C'2And ICPT system electric energy transmitting end coil alternating current resistor R'lICPT system powerReceiving end reflective impedance Z'fAfter forming a serial branch, the capacitor C 'is connected with'1Form a parallel branch circuit and finally carry out L'1Form a series branch, respectively RlIs R'lResistance value of, ZfIs Z'fReflection resistance value of C1Represents capacitance C'1Capacitance value of (C)2Represents capacitance C'2Capacitance value of (L)1Represents an inductance L'1Value of inductance of L2Represents an inductance L'2The inductance value of (a), wherein the parameter setting method comprises:
step 1, determining L resonance frequency f adopted by CC L resonance structure0=Qf0Obtaining L CC L resonance angular frequency omega according to formula (1) and formula (2)0
f0=Qf0(1)
ω0=2πf0(2)
Step 2: coupling coil resonance frequency f at the transmitting end0Next, an ICPT power transmitting end coil inductance L 'was measured'2L of inductance value2Is QL2ICPT electric energy transmitting end coil alternating current resistor R'lResistance value R oflIs QRlMeasuring ICPT system electric energy receiving end reflection impedance Z'fIs a reflection impedance value ZfIs a reaction of ZfThe resistance portion is denoted as QZf
Step 3, determining L CC L resonant structure component parameter relation by using a method of compensating high-order harmonic current by using fundamental current:
Figure FDA0002397790390000011
Figure FDA0002397790390000012
Figure FDA0002397790390000013
L2=QL2(3D)
Rl=QRl(3E)
Zf=QZf(3F)
and 4, obtaining a relation that the voltage of the L CC L structural component meets the following relation according to the relation among the L CC L resonant structural component parameters in the step 3:
Figure FDA0002397790390000014
Figure FDA0002397790390000021
UL1=Iout(Rl+Zf) (4C)
UL2=ω0IoutL2(4D)
and 5, obtaining a L CC L structural component current satisfying relation according to the relation among L CC L resonant structural component parameters in the step 3:
Figure FDA0002397790390000022
IC2=Iout(5B)
Figure FDA0002397790390000023
IL2=Iout(5D)
step 6, determining L CC L resonant structure rated output power Pout,nomThereby obtaining L CC L resonant structure output power PoutSatisfies the relationship:
Pout=Iout 2(Zf)≥Pout,nom(6)
and 7: determining capacitance C'1Withstand voltage value UC1Maximum value of UC1maxCapacitor C'2Withstand voltage value UC2Maximum value of UC2maxInductor L'1Withstand voltage value UL1Maximum value of UL1maxInductor L'2Withstand voltage value UL2Maximum value of UL2maxAnd obtaining the withstand voltage of the component which meets the condition:
0<UC1≤UC1max(7A)
0<UC2≤UC2max(7B)
0<UL1≤UL1max(7C)
0<UL2≤UL2max(7D)
and 8: determining capacitance C'1Allowing a current value I to flowC1Maximum value of (1)C1maxCapacitor C'2Allowing a current value I to flowC2Maximum value of (1)C2maxInductor L'1Allowing a current value I to flowL1Maximum value of (1)L1maxInductor L'2Allowing a current value I to flowL2Maximum value of (1)L2maxTherefore, the component allowed current value satisfies the condition:
0<IC1≤IC1max(8A)
0<IC2≤IC2max(8B)
0<IL1≤IL1max(8C)
0<IL2≤IL2max(8D)
and step 9: determining capacitance C'1The capacitance C is obtained under practical conditions1Minimum parameter value C of1minDetermining capacitance C'1The capacitance C is obtained under practical conditions1Maximum parameter value C of1max
Determining capacitance C'2The capacitance C is obtained under practical conditions2Minimum parameter value C of2minDetermining capacitance C'2The capacitance C is obtained under practical conditions2Maximum parameter value C of2max
Determining inductor L'1Obtaining an inductance value L under practical conditions1Minimum parameter value L1minDetermining an inductance L'1Obtaining an inductance value L under practical conditions1Maximum parameter value of
Figure FDA0002397790390000031
Therefore, the actual values of the component parameters of the L CC L resonance structure meet the conditions that:
C1min≤C1≤C1max(9A)
C2min≤C2≤C2max(9B)
Figure FDA0002397790390000032
step 10: determining UC1Weight coefficient k1,UC2Weight coefficient k2,UL1Weight coefficient k3,UL2Weight coefficient k4,IC1Weight coefficient k5,IC2Weight coefficient k6,IL1Weight coefficient k7,IL2Weight coefficient k8Thus, the target function expression for achieving the optimum parameter value of the L CC L resonance structure is obtained:
Z=k1UC1 2+k2UC2 2+k3UL1 2+k4UL2 2+k5IC1 2+k6IC2 2+k7IL1 2+k8IL2 2(10)
step 11: building a non-linear programming problem with Vin、IoutFor decision variables, the minimum objective function is an optimization objective, and the equality relation and inequality relation obtained in the steps 1, 3 to 10 are constraint conditions;
step 12, solving the nonlinear programming problem in the step 11 to obtain parameters L meeting L CC L resonance structure1、C1、C2And VinA value of (d);
step 13, calculating an equivalent direct current voltage value V of L CC L resonance structure parameters corresponding to the ICPT system inverter sidedc
Figure FDA0002397790390000033
2. The method for setting parameters of the L CC L resonance structure as claimed in claim 1, wherein the relationship among parameters of L CC L resonance structure components in the step 3 is as follows:
Figure FDA0002397790390000041
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