CN108334700A - A kind of fractional order recalls the equivalent circuit of container - Google Patents
A kind of fractional order recalls the equivalent circuit of container Download PDFInfo
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- CN108334700A CN108334700A CN201810114510.XA CN201810114510A CN108334700A CN 108334700 A CN108334700 A CN 108334700A CN 201810114510 A CN201810114510 A CN 201810114510A CN 108334700 A CN108334700 A CN 108334700A
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- operational amplifier
- container
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
Abstract
The present invention relates to the equivalent circuits that a kind of fractional order recalls container.Its technical solution is：Fractional order recalls the input current i of the equivalent circuit of containera(t) by obtaining the voltage value V of the equivalent circuit charge signal after the effect of first resistor (25), second resistance (26), the first capacitance (22), the first current transmission device (1) and the first amplification module (2)02, VEBy the second amplification module (4) amplification and voltage-controlled phase shifter (19) phase shift；The control signal alpha of introducing respectively obtains corresponding voltage value K1, voltage value K2 and voltage value K3 after the first computing module (7), the second computing module (15), third computing module (17) operation, the circuit that the first current transmission device (1), the second current transmission device (18), third current transmission device (20) and the first capacitance (22) are constituted make fractional order recall container equivalent circuit input current ia(t) with output current ib(t) equal.The present invention can accurately simulate the electrical characteristic that fractional order recalls container, have the characteristics that order is easy to adjust, easily controllable and with high accuracy.
Description
Technical field
The invention belongs to recall the equivalent circuit technical field of container.The equivalent electricity of container is recalled more particularly to a kind of fractional order
Road.
Background technology
Ventra in 2009 and Cai Shaotang professors et al. expand out the concept of memory cell on the basis of memristor
(Ventra M D,Pershin Y V,Chua L O.Circuit Elements With Memory:Memristors,
Memcapacitors,and Meminductors[J].Proceedings of the IEEE,2009,97(10):1715-
1716), and after giving and recalling container and recall the related definition of sensor, the characteristic of memory cell causes more researchers'
Concern.
Pershin et al. is designed full according to memristor and the transformational relation for recalling container using existing circuit components
The circuit of this transformational relation of foot, is converted into memristor to recall container (Pershin Y V, Ventra M D.Memristive
circuits simulate memcapacitors and meminductors[J].Electronics Letters,2010,
46(7):517-518), but the circuit realized is fairly simple, can only be realized in specific simplified condition lower aprons and recall container
Characteristic, and recalling of being realized contained in container dead resistance to recall container it is inaccurate.Biolek et al. points out basis
Memristor and after recalling the deficiency for recalling container analog circuit designed by the transformational relation of container, has devised without dead resistance
Container (Biolek D, Biolkova V.Mutator for transforming memristor into are recalled in earthing type lotus control
memcapacitor[J].Electronics Letters,2010,46(21):1428-1429).Then, Yang Ling et al. (poplars
It insults, Hu Bingmeng, Su Jing, a kind of lotus controls of is waited to recall the circuit simulator design and its Basic Characteristic Analysis [J] electronic components of container
With material, 2016,35 (7):After 98-104) pointing out ground connection the shortcomings that recalling container, have devised not comprising memristor floatingly
Type recalls the equivalent circuit of container.
The east of mound in 2013 member et al. invention " a kind of realization circuit that recalling container and its implementation "
(CN103559328A), Wang Guang justice et al. also has devised " equivalent circuit that a kind of magnetic control recalls container " later
(CN105373677A) and " exponential type magnetic control recalls the equivalent circuit of container " (CN105701306A).These inventions are all that basis is recalled
The definition resistance of container, capacitance, operational amplifier etc. the simple simulation for recalling container realized of conventional electricals component it is electric
Road can only simulate and recall container some most basic characteristics.Then, " a kind of magnetic linkage coupled mode recalls appearance for Yu Dongsheng et al. inventions
Device analog circuit " (CN104811182A), the circuit are that the coefficient of coup realized with basic circuit elements and active chip can be with
Smooth adjustment recalls container simulator, can show the dynamic and steady-state characteristic for recalling container well.Above invention is all rank
The secondary integer rank for being 1 recalls container analog circuit, and " the realization circuit and Any Order for recalling container recall appearance for Lu Yimin et al. inventions
The implementation method of device circuit " (CN104573183A), the integer rank that can simulate 1 rank and 1 rank or more recall container, and in order to obtain one
More than rank recall container, the equivalent circuit for multiple single orders being recalled container is needed to be concatenated together as basic unit, order is different
Recall container, its equivalent circuit also differs, moreover, order is higher, equivalent circuit is more complicated.Therefore, different orders recall appearance
The realization of device is cumbersome.
These above-mentioned equivalent circuits for recalling container are all that simulation integer rank recalls container.And actual physics system is in essence
On be fractional order, integer rank calculus is difficult to accurately describe actual physical system, therefore, only fractional calculus manage
System (Zhang Yanzhu fractional calculus theory and its application study of fractional order could be described preferably by the model of foundation
[D] [doctoral thesis] Northeastern University, 2008,7-34).Nonlinear problem in processing circuit and system, especially analysis are recalled
When the nonlinear characteristic of the equal memory cells of container, fractional calculus will become a kind of new tool.
In recent years, existing researcher proposes memristor model (the Pu F, Yuan of fractional order
X.Fracmemristor:Fractional-Order Memristor[J].IEEE Access,2017,4:1872-1888),
Wu Yu is prosperous et al. on the basis of mutual switch condition between analyzing memristor and recalling container, using linear transform circuit and point
Number rank memristors construct a kind of fractional order and recall container (a kind of fractional model of memristors of the prosperous of Wu Yu and its application study
[D] [Master's thesis] Wuhan University Of Technology, 2016), it is this recall container recall capacitance and its characteristic is somewhat dependent on
The characteristic of memristor.If the model of memristor is inaccurate, the characteristic for recalling container is also not accurate enough.
Invention content
The present invention is directed to overcome the deficiencies of existing technologies, it is therefore an objective to which providing a kind of can accurately simulate fractional order and recall container
Electrical characteristic, fractional order order are easy to adjust, easily controllable and with high accuracy fractional order recalls the equivalent circuit of container.
To achieve the above object, the technical solution adopted by the present invention is：
The both ends that the fractional order recalls the equivalent circuit of container be respectively the equivalent circuit that fractional order recalls container terminal A and
Fractional order recalls the terminal B of the equivalent circuit of container；Control signal alpha be added in fractional order recall container equivalent circuit terminal C with point
Between the terminal GND for the equivalent circuit that number rank recalls container, for changing the order that fractional order recalls container.
The fractional order recall the terminal A of the equivalent circuit of container respectively with the terminal E1+ of the first current transmission device, frequency/
The terminal C12 connections of the terminal Fi and the first capacitance of electric pressure converter.
Fractional order is recalled the terminal B of the equivalent circuit of container and is connect with the terminal E2- of the second current transmission device.
The terminal E1- of first current transmission device and the terminal R22 connections of second resistance, the terminal of the first current transmission device
E1i is connect with the terminal W21 of the terminal R12 of first resistor, the second amplification module respectively, the terminal W22 of the second amplification module with
The connections of terminal Φ 0 of voltage-controlled phase shifter；The terminal E1o of first current transmission device is connect with the terminal W11 of the first amplification module, the
The terminal W12 of one amplification module is connect with the terminal X1 of the first multiplier, the terminal Y1 of the first multiplier and the terminal of voltage source
U0 connections.
The terminals P 1 of first multiplier adds with the terminal X2 of the second multiplier, the terminal X5 of the 5th multiplier and third respectively
The terminal B3 connections of musical instruments used in a Buddhist or Taoist mass, the terminal Y2 of the second multiplier are connect with the terminal K12 of the first computing module, the end of the second multiplier
Sub- P2 is connect with the terminal X3 of the terminal A1 of first adder and third multiplier respectively, the terminal B1 and third of first adder
The terminals P 3 of multiplier connects, and the terminal S1 of first adder is connect with the terminal X4 of the 4th multiplier, the end of the 4th multiplier
The terminal Φ 2 of sub- Y4 and voltage-controlled phase shifter connections, the terminals P 4 of the 4th multiplier are connect with the terminal A2 of second adder；Second
The terminal B2 of adder is connect with the terminals P 5 of the 5th multiplier, the terminal of the terminal Y5 and third computing module of the 5th multiplier
K32 connections.
The terminal S2 of second adder is connect with the terminal X6 of the 6th multiplier, the fortune of the terminal Y6 of the 6th multiplier and second
The terminal K22 connections of module are calculated, the terminals P 6 of the 6th multiplier is connect with the terminal A3 of third adder；The end of third adder
The terminal Hi connections of sub- S3 and analog inverter, the terminal Ho of analog inverter are connect with the terminal E2+ of the second current transmission device,
The terminal E2i of second current transmission device is connect with the terminal E3i of third current transmission device, the terminal E3- of third current transmission device
It is connect with the terminal C11 of the first capacitance.
The terminal Vo of frequency/voltage converter is connect with the terminal K41 of the 4th computing module, the terminal of the 4th computing module
K42 is connect with the terminal X7 of the 7th multiplier, and the terminals P 7 of the 7th multiplier is connect with the terminal Y3 of third multiplier.
Fractional order recall the terminal C of the equivalent circuit of container respectively with the terminal K11 of the first computing module, the second computing module
Terminal K21, the terminal K31 of third computing module, the terminal Φ 1 of voltage-controlled phase shifter connect with the terminal Y7 of the 7th multiplier.
Fractional order recall the terminal GND of the equivalent circuit of container respectively with the terminal E3+ of third current transmission device, second resistance
Terminal R21 connected with the terminal R11 of first resistor.
The fractional order recalls the capacitance C of the equivalent circuit of containerM：
DM=D1+D2{1+K2[K3+K1(Fα+1)WR1Isin(2πft-π/2α)]} (2)
In formula (1) formula (2)：DMIndicate that fractional order recalls the receiving value of the equivalent circuit of container；
D1Indicate the receiving value of the first capacitance；
D2Indicate the voltage output value of voltage source；
I indicates input current ia(t) amplitude；
K1Indicate the voltage output value of the first computing module；
K2Indicate the voltage output value of the second computing module；
K3Indicate the voltage output value of third computing module；
F indicates the voltage output value of the 4th computing module；
W indicates the voltage amplification factor of the second amplification module；
R1Indicate the resistance value of first resistor；
F indicates input current ia(t) frequency values；
T indicates time value in seconds；
α indicates to recall the fractional order order of container, voltage value of the fractional order order equal to control signal.
First amplification module is by 3rd resistor, the 4th resistance, the first operational amplifier, the 5th resistance, the 6th resistance
It is formed with second operational amplifier.
Terminal V1-s of the terminal R32 of 3rd resistor respectively with the terminal R41 of the 4th resistance and the first operational amplifier connects
It connecing, the terminal V1o of the first operational amplifier is connect with the terminal R51 of the terminal R42 of the 4th resistance and the 5th resistance respectively, and the 5th
The terminal R52 of resistance is connect with the terminal V2- of the terminal R61 of the 6th resistance and second operational amplifier respectively；Second operation is put
The terminal V2+ of the big device and terminal V1+ of the first operational amplifier is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
The both ends of first amplification module are terminal W11 and terminal W12, the amplifications of the terminal R31 of 3rd resistor and first
The terminal W11 connections of module, the terminal R62 of the 6th resistance and the terminal V2o of second operational amplifier and the first amplification module
Terminal W12 connections.
Second amplification module is by the 7th resistance, the 8th resistance, third operational amplifier, the 9th resistance, the tenth resistance
It is formed with four-operational amplifier.
Terminal V3-s of the terminal R72 of 7th resistance respectively with the terminal R81 of the 8th resistance and third operational amplifier connects
It connecing, the terminal V3o of third operational amplifier is connect with the terminal R91 of the terminal R82 of the 8th resistance and the 9th resistance respectively, and the 9th
The terminal R92 of resistance is connect with the terminal V4- of the terminal R101 of the tenth resistance and four-operational amplifier respectively；Third operation is put
The terminal V3+ of the big device and terminal V4+ of four-operational amplifier is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
The both ends of second amplification module are terminal W21 and terminal W22, the terminal R71 of the 7th resistance and the second amplification
The terminal W21 connections of module, the terminal R102 of the tenth resistance and the terminal V4o of four-operational amplifier and the second amplification module
Terminal W22 connections.
First computing module is by 1.2V power supplys, eleventh resistor, twelfth resistor, thirteenth resistor, the 5th operation
Amplifier and the 14th resistance composition.
The terminal R142 of 14th resistance terminals with the terminal R131 and the 5th operational amplifier of thirteenth resistor respectively
V5- connections, the terminal V5+ of the 5th operational amplifier respectively with the terminal R112 of eleventh resistor and the terminal of twelfth resistor
R121 connections, the terminal R111 of eleventh resistor are connect with the terminal U1 of 1.2V power supplys；The terminal R122 of twelfth resistor with point
Number rank recalls the terminal GND connections of the equivalent circuit of container.
The both ends of first computing module are terminal K11 and terminal K12, the terminal R141 of the 14th resistance and the first fortune
Calculate the terminal K11 connections of module, the terminal V5o of the 5th operational amplifier and the terminal R132 of thirteenth resistor and the first operation mould
The terminal K12 connections of block.
Second computing module is by the 15th resistance, the 6th operational amplifier, the 17th resistance, the 18th resistance,
19 resistance, the 7th operational amplifier, the 20th resistance, -1V power supplys and the 16th resistance composition.
The terminal R152 of 15th resistance terminals with the terminal R161 and the 6th operational amplifier of the 16th resistance respectively
V6- connections, the terminal V6o of the 6th operational amplifier terminal with the terminal R162 and the 17th resistance of the 16th resistance respectively
R171 connections, the terminal R172 of the 17th resistance terminal with the terminal R181 and the 7th operational amplifier of the 18th resistance respectively
V7+ connections, the terminal V7- of the 7th operational amplifier terminal with the terminal R191 and the 20th resistance of the 19th resistance respectively
R202 connections, the terminal R201 of the 20th resistance are connect with the terminal U2 of -1V power supplys；The terminal V6+ of 6th operational amplifier and
The terminal R182 of 18th resistance is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
The both ends of second computing module are terminal K21 and terminal K22, the terminal R151 of the 15th resistance and the second fortune
Calculate the terminal K21 connections of module, the terminal R192 of the 19th resistance and the terminal V7o of the 7th operational amplifier and the second operation mould
The terminal K22 connections of block.
The third computing module is by the 21st resistance, the 8th operational amplifier, the 23rd resistance, the 24th electricity
Resistance, the 25th resistance, the 9th operational amplifier, the 26th resistance, 0.5V power supplys and the 22nd resistance composition.
The terminal R212 of 21st resistance respectively with the terminal R221 of the 22nd resistance and the 8th operational amplifier
Terminal V8- connections, the terminal V8o of the 8th operational amplifier respectively with the terminal R222 and the 23rd resistance of the 22nd resistance
Terminal R231 connections, the terminal R232 of the 23rd resistance puts with the terminal R241 of the 24th resistance and the 9th operation respectively
The terminal V9+ connections of big device, the terminal V9- of the 9th operational amplifier terminal R251 and the 20th with the 25th resistance respectively
The terminal R262 connections of six resistance, the terminal R261 of the 26th resistance are connect with the terminal U3 of 0.5V power supplys；8th operation is put
The terminal V8+ of the big device and terminal R242 of the 24th resistance is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
The both ends of third computing module are terminal K31 and terminal K32, terminal R211 and the third operation of the 21st resistance
The terminal K31 connections of module, the terminal R252 of the 25th resistance and the terminal V9o of the 9th operational amplifier and third operation mould
The terminal K32 connections of block.
4th computing module is by the 27th resistance, the 28th resistance, the tenth operational amplifier, the 31st electricity
Resistance, the 11st operational amplifier, the 32nd resistance, the 30th resistance, the 29th resistance and 1V power supplys composition.
The terminal R272 of 27th resistance respectively with the terminal R281 of the 28th resistance and the tenth operational amplifier
Terminal V10+ connections, the terminal V10- of the tenth operational amplifier respectively with the terminal R301 and the 29th resistance of the 30th resistance
Terminal R292 connections, the terminal R291 of the 29th resistance connect with the terminal U4 of 1V power supplys；The end of tenth operational amplifier
Sub- V10o is connect with the terminal R311 of the terminal R302 of the 30th resistance and the 31st resistance respectively, the end of the 31st resistance
Sub- R312 is connect with the terminal R321 of the terminal V11- of the 11st operational amplifier and the 32nd resistance respectively；11st operation
The terminal GND for the equivalent circuit that the terminal V11+ of the amplifier and terminal R282 of the 28th resistance recalls container with fractional order connects
It connects.
The both ends of 4th computing module are terminal K41 and terminal K42, the terminal R271 of the 27th resistance and the 4th operation
The terminal K41 connections of module, the terminal R322 of the 32nd resistance and the terminal V11o of the 11st operational amplifier and the 4th fortune
Calculate the terminal K42 connections of module.
The analog inverter is made of the 33rd resistance, the 34th resistance and the 12nd operational amplifier.
The terminal R332 of 33rd resistance respectively with the terminal R341 and the 12nd operational amplifier of the 34th resistance
Terminal V12- connections, the terminal GND for the equivalent circuit that the terminal V12+ of the 12nd operational amplifier recalls container with fractional order connects
It connects.
The both ends of the analog inverter are terminal Hi and terminal Ho, terminal R331 and the simulation reverse phase of the 33rd resistance
The terminal Hi connections of device, the terminal R342 of the 34th resistance and the terminal V12o and analog inverter of the 12nd operational amplifier
Terminal Ho connections.
The voltage-controlled phase shifter is by the first junction field effect transistor, third capacitance, the 35th resistance, the 13rd operation
Amplifier, the 36th resistance, the 37th resistance, the 38th resistance, the second junction field effect transistor and the second capacitance
Composition.
The terminal G13 of first junction field effect transistor respectively with the terminal C31 of third capacitance and the 35th resistance
Terminal R351 connections, the terminal R352 of the 35th resistance terminal V13+ and the 36th with the 13rd operational amplifier respectively
The terminal R361 connections of resistance, the terminal C22 of the second capacitance respectively with the terminal G21 and third of the second junction field effect transistor
The terminal R381 connections of 18 resistance, the terminal R382 of the 38th resistance terminal V13- with the 13rd operational amplifier respectively
It is connected with the terminal R371 of the 37th resistance.
Fractional order recall the terminal GND of the equivalent circuit of container respectively with the terminal C32 of third capacitance, the second junction field
The terminal R362 connections of the terminal G23, the 36th resistance of transistor.
The voltage-controlled phase shifter has terminal Φ 0, terminal Φ 1 and terminal Φ 2 respectively；The end of first junction field effect transistor
The connections of terminal Φ 0 of the terminal C21 and voltage-controlled phase shifter of sub- G11 and the second capacitance, the terminal of the first junction field effect transistor
The connections of terminal Φ 1 of the terminal G22 and voltage-controlled phase shifter of G12 and the second junction field effect transistor, the 13rd operational amplifier
Terminal V13o and the 37th resistance terminal R372 and voltage-controlled phase shifter the connections of terminal Φ 2.
Due to the adoption of the above technical scheme, the present invention has following good effect：
The input current i of the present inventiona(t) by first resistor, second resistance, the first capacitance, the first current transmission device and
The voltage value V of the equivalent circuit charge signal is obtained after the effect of first amplification module02, VEAmplify by the second amplification module
With voltage-controlled phase shifter phase shift；The control signal alpha of introducing is by the first computing module, the second computing module, third computing module fortune
Respectively obtain corresponding voltage value K1, voltage value K2 and voltage value K3 after calculation, the first current transmission device, the second current transmission device,
The input current i for the equivalent circuit that the circuit that third current transmission device and the first capacitance are constituted makes fractional order recall containera(t) with it is defeated
Go out electric current ib(t) equal, the present invention can accurately simulate the electrical characteristic that fractional order recalls container.
The present invention introduces a control signal alpha in circuit so that fractional order recalls the fractional order of the equivalent circuit of container
Order changes with the change of control signal alpha, to change the electrical characteristic that fractional order recalls container, allows for the present invention's
Equivalent circuit can facilitate simulation fractional order to recall electrical characteristic of the container in different orders, and the adjustment of order need to only pass through
Changing the size of control signal alpha can complete.
Resistance, capacitance and the control signal alpha that the present invention uses all have very high precision, can accurately detect input letter
Number frequency.
Therefore, the present invention can accurately simulate the electrical characteristic that fractional order recalls container, have order easy to adjust, easily controllable
With feature with high accuracy.
Description of the drawings
Fig. 1 is a kind of structural schematic diagram of the present invention；
Fig. 2 is the structural schematic diagram of the first amplification module 2 in Fig. 1；
Fig. 3 is the structural schematic diagram of the second amplification module 4 in Fig. 1；
Fig. 4 is the structural schematic diagram of the first computing module 7 in Fig. 1；
Fig. 5 is the structural schematic diagram of the second computing module 15 in Fig. 1；
Fig. 6 is the structural schematic diagram of the third computing module 17 in Fig. 1；
Fig. 7 is the structural schematic diagram of the 4th computing module 23 in Fig. 1；
Fig. 8 is the structural schematic diagram of the analog inverter 16 in Fig. 1.
Fig. 9 is the voltage-controlled structural schematic diagram for shifting to device 19 in Fig. 1.
Specific implementation mode
The present invention will be further described with reference to the accompanying drawings and detailed description, not to the scope of the present invention
Limitation.
Embodiment 1
A kind of fractional order recalls the equivalent circuit of container.As shown in Figure 1：The fractional order recalls the both ends of the equivalent circuit of container
Respectively fractional order recall the equivalent circuit of container terminal A and fractional order recall container equivalent circuit terminal B；Control signal alpha
It is added between the terminal C and the terminal GND of the fractional order equivalent circuit of recalling container for the equivalent circuit that fractional order recalls container, for changing
Become the order that fractional order recalls container.
As shown in Figure 1：The fractional order recalls the end with the first current transmission device 1 respectively the terminal A of the equivalent circuit of container
The terminal C12 connections of sub- E1+, the terminal Fi of frequency/voltage converter 24 and the first capacitance 22.
As shown in Figure 1：The terminal E2- for the terminal B and the second current transmission device 18 that fractional order recalls the equivalent circuit of container connects
It connects.
As shown in Figure 1：The terminal E1- of first current transmission device 1 is connect with the terminal R22 of second resistance 26, the first electric current
The terminal E1i of transmitter 1 is connect with the terminal W21 of the terminal R12 of first resistor 25, the second amplification module 4 respectively, the second amplification
The terminal W22 of module 4 is connect with the terminal Φ 0 of voltage-controlled phase shifter 19；The amplifications of the terminal E1o of first current transmission device 1 and first
The terminal W11 connections of module 2, the terminal W12 of the first amplification module 2 are connect with the terminal X1 of the first multiplier 3, the first multiplier
3 terminal Y1 is connect with the terminal U0 of voltage source 5.
As shown in Figure 1：The terminals P 1 of first multiplier 3 respectively with the terminal X2 of the second multiplier 6, the 5th multiplier 12
Terminal X5 is connected with the terminal B3 of third adder 14, the terminal K12 of the terminal Y2 of the second multiplier 6 and the first computing module 7
Connection, the terminals P 2 of the second multiplier 6 are connect with the terminal X3 of the terminal A1 of first adder 8 and third multiplier 9 respectively, the
The terminal B1 of one adder 8 is connect with the terminals P 3 of third multiplier 9, the terminal S1 and the 4th multiplier 10 of first adder 8
Terminal X4 connections, the terminal Y4 of the 4th multiplier 10 connect with the terminal Φ 2 of voltage-controlled phase shifter 19, the end of the 4th multiplier 10
Sub- P4 and second adder 11) terminal A2 connect；The terminal B2 of second adder 11 and the terminals P 5 of the 5th multiplier 12 connect
It connects, the terminal Y5 of the 5th multiplier 12 is connect with the terminal K32 of third computing module 17.
As shown in Figure 1：The terminal S2 of second adder 11 is connect with the terminal X6 of the 6th multiplier 13, the 6th multiplier 13
Terminal Y6 connect with the terminal K22 of the second computing module 15, the end of the terminals P 6 and third adder 14 of the 6th multiplier 13
Sub- A3 connections；The terminal S3 of third adder 14 is connect with the terminal Hi of analog inverter 16, the terminal Ho of analog inverter 16
It is connect with the terminal E2+ of the second current transmission device 18, terminal E2i and the third current transmission device 20 of the second current transmission device 18
Terminal E3i connections, the terminal E3- of third current transmission device 20 are connect with the terminal C11 of the first capacitance 22.
As shown in Figure 1：The terminal Vo of frequency/voltage converter 24 is connect with the terminal K41 of the 4th computing module 23, and the 4th
The terminal K42 of computing module 23 is connect with the terminal X7 of the 7th multiplier 21, terminals P 7 and the third multiplication of the 7th multiplier 21
The terminal Y3 connections of device 9.
As shown in Figure 1：Fractional order recall the terminal C of the equivalent circuit of container respectively with the terminal K11 of the first computing module 7,
The terminal K21 of second computing module 15, the terminal K31 of third computing module 17, voltage-controlled phase shifter 19 terminal Φ 1 and the 7th multiply
The terminal Y7 connections of musical instruments used in a Buddhist or Taoist mass 21.
As shown in Figure 1：Fractional order recalls the terminal GND of the equivalent circuit of the container terminal with third current transmission device 20 respectively
E3+, the terminal R21 of second resistance 26 are connected with the terminal R11 of first resistor 25.
As shown in Figure 2：First amplification module 2 by 3rd resistor 27, the 4th resistance 28, the first operational amplifier 29,
5th resistance 30, the 6th resistance 31 and second operational amplifier 32 form.
As shown in Figure 2：The terminal R32 of 3rd resistor 27 respectively with the terminal R41 and the first operation amplifier of the 4th resistance 28
The terminal V1o of the terminal V1- connections of device 29, the first operational amplifier 29 is electric with the terminal R42 of the 4th resistance 28 and the 5th respectively
The terminal R51 connections of resistance 30, the terminal R52 of the 5th resistance 30 respectively with the terminal R61 and the second operation amplifier of the 6th resistance 31
The terminal V2- connections of device 32；The terminal V1+ and score of the terminal V2+ of second operational amplifier 32 and the first operational amplifier 29
Rank recalls the terminal GND connections of the equivalent circuit of container.
As shown in Figure 2：The both ends of first amplification module 2 are terminal W11 and terminal W12, the terminal of 3rd resistor 27
R31 is connect with the terminal W11 of the first amplification module 2, the terminal of the terminal R62 and second operational amplifier 32 of the 6th resistance 31
V2o is connect with the terminal W12 of the first amplification module 2.
As shown in Figure 3：Second amplification module 4 by the 7th resistance 33, the 8th resistance 34, third operational amplifier 35,
9th resistance 36, the tenth resistance 37 and four-operational amplifier 38 form.
As shown in Figure 3：The terminal R72 of 7th resistance 33 respectively with the terminal R81 and third operation amplifier of the 8th resistance 34
The terminal V3o of the terminal V3- connections of device 35, third operational amplifier 35 is electric with the terminal R82 of the 8th resistance 34 and the 9th respectively
The terminal R91 connections of resistance 36, the terminal R92 of the 9th resistance 36 respectively with the terminal R101 and the 4th operation amplifier of the tenth resistance 37
The terminal V4- connections of device 38；The terminal V3+ of third operational amplifier 35 and the terminal V4+ and score of four-operational amplifier 38
Rank recalls the terminal GND connections of the equivalent circuit of container.
As shown in Figure 3：The both ends of second amplification module 4 are terminal W21 and terminal W22, the terminal of the 7th resistance 33
R71 is connect with the terminal W21 of the second amplification module 4, the terminal of the terminal R102 and four-operational amplifier 38 of the tenth resistance 37
V4o is connect with the terminal W22 of the second amplification module 4.
As shown in Figure 4：First computing module 7 is by 1.2V power supplys 39, eleventh resistor 40, twelfth resistor 41,
13 resistance 42, the 5th operational amplifier 43 and the 14th resistance 44 composition.
As shown in Figure 4：The terminal R142 of 14th resistance 44 is transported with the terminal R131 of thirteenth resistor 42 and the 5th respectively
Calculate the terminal V5- connections of amplifier 43, the terminal V5+ of the 5th operational amplifier 43 respectively with the terminal R112 of eleventh resistor 40
It is connected with the terminal R121 of twelfth resistor 41, the terminal R111 of eleventh resistor 40 is connect with the terminal U1 of 1.2V power supplys 39；
The terminal GND that terminal R122 and the fractional order of twelfth resistor 41 recall the equivalent circuit of container is connect.
As shown in Figure 4：The both ends of first computing module 7 are terminal K11 and terminal K12, the end of the 14th resistance 44
Sub- R141 is connect with the terminal K11 of the first computing module 7, the terminal V5o of the 5th operational amplifier 43 and thirteenth resistor 42
Terminal R132 is connect with the terminal K12 of the first computing module 7.
As shown in Figure 5：Second computing module 15 is by the 15th resistance 45, the 46, the 17th electricity of the 6th operational amplifier
Hinder the 47, the 18th resistance 48, the 19th resistance 49, the 7th operational amplifier 50, the 20th resistance 51, -1V power supplys 52 and the tenth
Six resistance 53 form.
As shown in Figure 5：The terminal R152 of 15th resistance 45 is transported with the terminal R161 of the 16th resistance 53 and the 6th respectively
Calculate the terminal V6- connections of amplifier 46, the terminal V6o of the 6th operational amplifier 46 terminal R162 with the 16th resistance 53 respectively
It is connected with the terminal R171 of the 17th resistance 47, the terminal R172 of the 17th resistance 47 terminal with the 18th resistance 48 respectively
The terminal V7+ connections of R181 and the 7th operational amplifier 50, the terminal V7- of the 7th operational amplifier 50 respectively with the 19th resistance
The terminal R202 connections of 49 terminal R191 and the 20th resistance 51, terminal R201 and the -1V power supplys 52 of the 20th resistance 51
Terminal U2 connections；The terminal V6+ of the 6th operational amplifier 46 and terminal R182 of the 18th resistance 48 recalls container with fractional order
The terminal GND connections of equivalent circuit.
As shown in Figure 5：The both ends of second computing module 15 are terminal K21 and terminal K22, the end of the 15th resistance 45
Sub- R151 is connect with the terminal K21 of the second computing module 15, the terminal R192 and the 7th operational amplifier 50 of the 19th resistance 49
Terminal V7o connect with the terminal K22 of the second computing module 15.
As shown in Figure 6：The third computing module 17 is by the 21st resistance 54, the 8th operational amplifier the 55, the 20th
Three resistance 56, the 24th resistance 57, the 25th resistance 58, the 9th operational amplifier 59, the 26th resistance 60,0.5V electricity
Source 61 and the 22nd resistance 62 composition.
As shown in Figure 6：The terminal R212 of 21st resistance 54 respectively with the terminal R221 of the 22nd resistance 62 and
The terminal V8- connections of eight operational amplifiers 55, the end with the 22nd resistance 62 respectively the terminal V8o of the 8th operational amplifier 55
The terminal R232 of the terminal R231 connections of sub- R222 and the 23rd resistance 56, the 23rd resistance 56 is electric with the 24th respectively
The terminal V9+ connections of the terminal R241 and the 9th operational amplifier 59 of resistance 57, the terminal V9- of the 9th operational amplifier 59 respectively with
The terminal R262 connections of the terminal R251 and the 26th resistance 60 of 25th resistance 58, the terminal of the 26th resistance 60
R261 is connect with the terminal U3 of 0.5V power supplys 61；The terminal of the terminal V8+ and the 24th resistance 57 of 8th operational amplifier 55
R242 is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
As shown in Figure 6：The both ends of third computing module 17 are terminal K31 and terminal K32, the terminal of the 21st resistance 54
R211 is connect with the terminal K31 of third computing module 17, the terminal R252 and the 9th operational amplifier 59 of the 25th resistance 58
Terminal V9o connect with the terminal K32 of third computing module 17.
As shown in Figure 7：4th computing module 23 is by the 27th resistance 63, the 28th resistance 64, the tenth operation
Amplifier 65, the 31st resistance 66, the 11st operational amplifier 67, the 32nd resistance 68, the 30th resistance the 69, the 20th
Nine resistance 70 and 1V power supplys 71 form.
As shown in Figure 7：The terminal R272 of 27th resistance 63 respectively with the terminal R281 of the 28th resistance 64 and
The terminal V10+ connections of ten operational amplifiers 65, the end with the 30th resistance 69 respectively the terminal V10- of the tenth operational amplifier 65
The terminal R292 connections of sub- R301 and the 29th resistance 70, the terminal of the terminal R291 and 1V power supplys 71 of the 29th resistance 70
U4 connections；The terminal V10o of tenth operational amplifier 65 respectively with the terminal R302 and the 31st resistance 66 of the 30th resistance 69
Terminal R311 connections, the terminal R312 of the 31st resistance 66 respectively with the terminal V11- of the 11st operational amplifier 67 and
The terminal R321 connections of 32 resistance 68；The terminal of the terminal V11+ and the 28th resistance 64 of 11st operational amplifier 67
R282 is connect with the terminal GND for the equivalent circuit that fractional order recalls container.
As shown in Figure 7：The both ends of 4th computing module 23 are terminal K41 and terminal K42, the terminal of the 27th resistance 63
R271 is connect with the terminal K41 of the 4th computing module 23, the terminal R322 and the 11st operational amplifier of the 32nd resistance 68
67 terminal V11o is connect with the terminal K42 of the 4th computing module 23.
As shown in Figure 8：The analog inverter 16 is by the 33rd resistance 72, the 34th resistance 73 and the 12nd operation
Amplifier 74 forms.
As shown in Figure 8：The terminal R332 of 33rd resistance 72 respectively with the terminal R341 of the 34th resistance 73 and
The terminal V12- connections of 12 operational amplifiers 74, the terminal V12+ of the 12nd operational amplifier 74 and fractional order recall container etc.
Imitate the terminal GND connections of circuit.
As shown in Figure 8：The both ends of the analog inverter 16 are terminal Hi and terminal Ho, the terminal of the 33rd resistance 72
R331 is connect with the terminal Hi of analog inverter 16, the terminal R342 of the 34th resistance 73 and the 12nd operational amplifier 74
Terminal V12o is connect with the terminal Ho of analog inverter 16.
As shown in Figure 9：The voltage-controlled phase shifter 19 is by the first junction field effect transistor 75, third capacitance the 76, the 30th
Five resistance 77, the 13rd operational amplifier 78, the 36th resistance 79, the 37th resistance 80, the 38th resistance 81, second
Junction field effect transistor 82 and the second capacitance 83 composition.
As shown in Figure 9：The terminal G13 of first junction field effect transistor 75 respectively with the terminal C31 of third capacitance 76 and
The terminal R351 connections of 35th resistance 77, the terminal R352 of the 35th resistance 77 respectively with the 13rd operational amplifier 78
Terminal V13+ and the 36th resistance 79 terminal R361 connections, the terminal C22 of the second capacitance 83 respectively with the second junction type field
The terminal R381 connections of the terminal G21 and the 38th resistance 81 of effect transistor 82, the terminal R382 of the 38th resistance 81
It is connect respectively with the terminal R371 of the terminal V13- of the 13rd operational amplifier 78 and the 37th resistance 80；
As shown in Figure 9：Fractional order recall the terminal GND of the equivalent circuit of container respectively with the terminal C32 of third capacitance 76,
The terminal R362 connections of the terminal G23, the 36th resistance 79 of two junction field effect transistors 82.
As shown in Figure 9：The voltage-controlled phase shifter 19 has terminal Φ 0, terminal Φ 1 and terminal Φ 2 respectively；It imitates the first junction type field
The terminal G11 and the terminal C21 of the second capacitance 83 and the terminal Φ 0 of voltage-controlled phase shifter 19 for answering transistor 75 are connect, the first junction type
The terminal of the terminal G22 and voltage-controlled phase shifter 19 of the terminal G12 of field-effect transistor 75 and the second junction field effect transistor 82
The connections of Φ 1, the terminal V13o of the 13rd operational amplifier 78 and the terminal R372 of the 37th resistance 80 and voltage-controlled phase shifter 19
The connections of terminal Φ 2.
In the present embodiment：Fractional order recalls the input current i of the terminal A of the equivalent circuit of containera(t)=Isin (2 π ft),
Control signal alpha be added in the equivalent circuit that fractional order recalls container terminal C and fractional order recall container equivalent circuit terminal GND it
Between, for changing the order that fractional order recalls container.In the first capacitance 22, the second current transmission device 18 and third current transmission device 20
Under the action of, fractional order recalls terminal B output current ib (t)=Isin (2 π ft) of the equivalent circuit of container, and fractional order recalls container
Equivalent circuit both ends voltage be v (t)=Va-Vb。
By the characteristic of current transmission device it is found that first resistor 25, second resistance 26, the first capacitance 22 and the transmission of the first electric current
Device 1 realizes the integral ∫ i to input current ia (t) togethera(t) dt=q (t), as the resistance value R of first resistor 251With the second electricity
The resistance value R of resistance 262Equal, the first capacitance 22 capacitance is C1It is D with receiving value1When, the terminal E1o of the first current transmission device 1
The voltage V of output01, the first current transmission device 1 terminal E1+ voltage VE1+The terminal A of the equivalent circuit of container is recalled with fractional order
Voltage VaBetween meet：
V01=VE1+=Va=1/C1∫ia(t) dt=D1q(t) (1)
The voltage output value V of the terminal W12 of first amplification module 202For：
V02=q (t) (2)
When the output voltage values of voltage source 5 are D2When, the voltage output value V of the terminals P 1 of the first multiplier 3P1For：
VP1=D2q(t) (3)
The voltage output value V of the terminals P 2 of second multiplier 6P2For：
VP2=D2q(t)K1 (4)
The voltage output value V of the terminals P 7 of 7th multiplier 21P7For：
VP7=F α (5)
The voltage output value V of the terminals P 3 of third multiplier 9P3For：
VP3=D2q(t)K1Fα (6)
The voltage output value V of the terminal S1 of first adder 8S1For：
VS1=D2q(t)K1(Fα+1) (7)
The voltage output value V of the terminal Φ 2 of voltage-controlled phase shifter 1903For：
V03=WR1I sin(2πft-π/2α) (8)
The voltage output value V of the terminals P 4 of 4th multiplier 10P4For：
VP4=D2q(t)K1(Fα+1)WR1I sin(2πft-π/2α) (9)
The voltage output value V of the terminals P 5 of 5th multiplier 12P5For：
VP5=D2q(t)K3 (10)
The voltage output value V of the terminal S2 of second adder 11S2For：
VS2=D2q(t)[K3+K1(Fα+1)WR1I sin(2πft-π/2α)] (11)
The voltage output value V of the terminals P 6 of 6th multiplier 13P6For：
VP6=D2q(t)K2[K3+K1(Fα+1)WR1I sin(2πft-π/2α)] (12)
The voltage output value V of the terminal S3 of third adder 14S3For：
VS3=D2q(t){1+K2[K3+K1(Fα+1)WR1I sin(2πft-π/2α)]} (13)
It can be obtained by the characteristic of current transmission device, the terminal E2+ of the second current transmission device 18 and the second current transmission device 18
Voltage input levels V corresponding to terminal E2-E2+With voltage output value VE2-Meet：
VE2-=VE2+=-D2q(t){1+K2[K3+K1(Fα+1)WR1I sin(2πft-π/2α)]} (14)
Fractional order recalls the voltage output value V of the terminal B of the equivalent circuit of containerbFor：
Vb=VE2=-D2q(t){1+K2[K3+K1(Fα+1)WR1I sin(2πft-π/2α)]} (15)
Therefore, the voltage v (t) that fractional order recalls the equivalent circuit both ends of container is：
V (t)=Va-Vb=D1q(t)+D2q(t){1+K2[K3+K1(Fα+1)WR1I sin(2πft-π/2α)]} (16)
The voltage at the equivalent circuit both ends for recalling container by fractional order again meets v (t)=DMQ (t), then fractional order recall container
The capacitance C of equivalent circuitM：
DM=D1+D2{1+K2[K3+K1(Fα+1)WR1Isin(2πft-π/2α)]} (18)
In formula (17) formula (18)：DMIndicate that fractional order recalls the receiving value of the equivalent circuit of container；
D1Indicate the receiving value of the first capacitance 22；
D2Indicate the voltage output value of voltage source 5；
I indicates the amplitude of input current i (t)；
K1Indicate the voltage output value of the first computing module 7；
K2Indicate the voltage output value of the second computing module 15；
K3Indicate the voltage output value of third computing module 17；
F indicates the voltage output value of the 4th computing module 23；
W indicates the voltage amplification factor of the second amplification module 4；
R1Indicate the resistance value of first resistor 25；
F indicates the frequency values of input current i (t)；
T indicates time value in seconds；
α indicates to recall the fractional order order of container, voltage value of the fractional order order equal to control signal.
In the present embodiment：The first computing module 7 that the control signal alpha of introducing obtains after 7 operation of the first computing module
Voltage output value K1=1.2- α；The second operation mould that the control signal alpha of introducing obtains after 15 operation of the second computing module
The voltage output value K of block 152=1-0.5 α；The third that the control signal alpha of introducing obtains after 17 operation of third computing module
The voltage output value K of computing module 173=-0.25 α -0.5；
In the present embodiment：Input current ia(t) after by the operation of frequency/voltage converter 24 and the 4th computing module 23
Obtain the voltage output value F=19 (1-f) of the 4th computing module 23；The voltage amplification factor W=10R of second amplification module 41。
Then by formula 18, the receiving value D of the present embodimentM：
DM=D1+D2{1+(1-0.5α)[(-0.25α-0.5) +(1.2-α)(1+1/9(1-f)α)10Isin(2πft-π/2
α)]}
As it can be seen that the equivalent circuit that the fractional order of the present embodiment recalls container, which is fractional order, recalls container.
Present embodiment has following good effect compared with prior art：
The input current i of present embodimenta(t) pass through first resistor 25, second resistance 26, the first capacitance 22,
The voltage value V of the equivalent circuit charge signal is obtained after the effect of one current transmission device 1 and the first amplification module 202, VEBy
Second amplification module 4 amplifies and 19 phase shift of voltage-controlled phase shifter；The control signal alpha of introducing is by the first computing module 7, the second operation
Corresponding voltage value K1, voltage value K2 and voltage value K3, the first electric current are respectively obtained after module 15,17 operation of third computing module
The circuit that transmitter 1, the second current transmission device 18, third current transmission device 20 and the first capacitance 22 are constituted makes fractional order recall container
Equivalent circuit input current ia(t) with output current ib(t) equal, present embodiment can accurately simulate fractional order and recall
The electrical characteristic of container.
Present embodiment introduces a control signal alpha in circuit so that fractional order recalls the equivalent circuit of container
Fractional order order with control signal alpha change and change, to change the electrical characteristic that fractional order recalls container, allow for
The equivalent circuit of present embodiment can facilitate simulation fractional order to recall electrical characteristic of the container in different orders, Er Qiejie
The size that secondary adjustment need to only control signal alpha by change can be completed；
Resistance, capacitance and the control signal alpha that present embodiment uses all have very high precision, can accurately examine
Survey the frequency of input signal.
Therefore, present embodiment can accurately simulate the electrical characteristic that fractional order recalls container, easy to adjust with order,
Feature easily controllable and with high accuracy.
Claims (9)
1. a kind of fractional order recalls the equivalent circuit of container, it is characterised in that the fractional order recalls the both ends point of the equivalent circuit of container
Not Wei fractional order recall container equivalent circuit terminal A and fractional order recall container equivalent circuit terminal B；Control signal alpha adds
The terminal C of the equivalent circuit of container is recalled in fractional order between the terminal GND of equivalent circuit that fractional order recalls container；
The fractional order recall the terminal A of the equivalent circuit of container respectively with the terminal E1+ of the first current transmission device (1), frequency/electricity
The terminal C12 connections of the terminal Fi and the first capacitance (22) of pressure converter (24)；
The terminal B that fractional order recalls the equivalent circuit of container is connect with the terminal E2- of the second current transmission device (18)；
The terminal E1- of first current transmission device (1) is connect with the terminal R22 of second resistance (26), the first current transmission device (1)
Terminal E1i is connect with the terminal W21 of the terminal R12 of first resistor (25), the second amplification module (4) respectively, the second amplification module
(4) terminal W22 is connect with the terminal Φ 0 of voltage-controlled phase shifter (19)；The terminal E1o of first current transmission device (1) is put with first
The terminal W11 connections of big module (2), the terminal W12 of the first amplification module (2) are connect with the terminal X1 of the first multiplier (3), the
The terminal Y1 of one multiplier (3) is connect with the terminal U0 of voltage source (5)；
The terminals P 1 of first multiplier (3) respectively with the terminal X2 of the second multiplier (6), the 5th multiplier (12) terminal X5 and
The terminal B3 connections of third adder (14), the terminal Y2 of the second multiplier (6) and the terminal K12 of the first computing module (7) connect
It connects, the terminal X3 of the terminals P 2 of the second multiplier (6) respectively with the terminal A1 of first adder (8) and third multiplier (9) connects
It connects, the terminal B1 of first adder (8) is connect with the terminals P 3 of third multiplier (9), the terminal S1 of first adder (8) and
The terminal X4 connections of four multipliers (10), the terminal Y4 of the 4th multiplier (10) are connect with the terminal Φ 2 of voltage-controlled phase shifter (19),
The terminals P 4 of 4th multiplier (10) is connect with the terminal A2 of second adder (11)；The terminal B2 of second adder (11) and
The terminals P 5 of five multipliers (12) connects, and the terminal Y5 of the 5th multiplier (12) connects with the terminal K32 of third computing module (17)
It connects；
The terminal S2 of second adder (11) is connect with the terminal X6 of the 6th multiplier (13), the terminal Y6 of the 6th multiplier (13)
It is connect with the terminal K22 of the second computing module (15), the terminal of the terminals P 6 and third adder (14) of the 6th multiplier (13)
A3 connections；The terminal S3 of third adder (14) is connect with the terminal Hi of analog inverter (16), the end of analog inverter (16)
Sub- Ho is connect with the terminal E2+ of the second current transmission device (18), and terminal E2i and the third electric current of the second current transmission device (18) pass
The terminal E3i connections of defeated device (20), the terminal E3- of third current transmission device (20) are connect with the terminal C11 of the first capacitance (22)；
The terminal Vo of frequency/voltage converter (24) is connect with the terminal K41 of the 4th computing module (23), the 4th computing module
(23) terminal K42 is connect with the terminal X7 of the 7th multiplier (21), terminals P 7 and the third multiplier of the 7th multiplier (21)
(9) terminal Y3 connections；
Fractional order recall the terminal C of the equivalent circuit of container respectively with the terminal K11 of the first computing module (7), the second computing module
(15) the terminal K31 of terminal K21, third computing module (17), the terminal Φ 1 and the 7th multiplier of voltage-controlled phase shifter (19)
(21) terminal Y7 connections；
Fractional order recall the terminal GND of the equivalent circuit of container respectively with the terminal E3+ of third current transmission device (20), second resistance
(26) terminal R21 is connected with the terminal R11 of first resistor (25)；
The fractional order recalls the capacitance C of the equivalent circuit of containerM：
DM=D1+D2{1+K2[K3+K1(Fα+1)WR1Isin(2πft-π/2α)]} (2)
In formula (1) formula (2)：DMIndicate that fractional order recalls the receiving value of the equivalent circuit of container；
D1Indicate the receiving value of the first capacitance (22)；
D2Indicate the voltage output value of voltage source (5)；
I indicates input current ia(t) amplitude；
K1Indicate the voltage output value of the first computing module (7)；
K2Indicate the voltage output value of the second computing module (15)；
K3Indicate the voltage output value of third computing module (17)；
F indicates the voltage output value of the 4th computing module (23)；
W indicates the voltage amplification factor of the second amplification module (4)；
R1Indicate the resistance value of first resistor (25)；
F indicates input current ia(t) frequency values；
T indicates time value in seconds；
α indicates to recall the fractional order order of container, voltage value of the fractional order order equal to control signal.
2. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that first amplification module (2)
By 3rd resistor (27), the 4th resistance (28), the first operational amplifier (29), the 5th resistance (30), the 6th resistance (31) and
Two operational amplifiers (32) form；
The ends with the terminal R41 and the first operational amplifier (29) of the 4th resistance (28) respectively the terminal R32 of 3rd resistor (27)
Sub- V1- connections, the terminal V1o of the first operational amplifier (29) the terminal R42 and the 5th resistance with the 4th resistance (28) respectively
(30) terminal R51 connections, the terminal R52 of the 5th resistance (30) respectively with the terminal R61 of the 6th resistance (31) and the second operation
The terminal V2- connections of amplifier (32)；The terminal of the terminal V2+ and the first operational amplifier (29) of second operational amplifier (32)
V1+ is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of first amplification module (2) are terminal W11 and terminal W12, and the terminal R31 of 3rd resistor (27) is put with first
The terminal W11 connections of big module (2), the terminal R62 of the 6th resistance (31) and the terminal V2o of second operational amplifier (32) and the
The terminal W12 connections of one amplification module (2).
3. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that second amplification module (4)
By the 7th resistance (33), the 8th resistance (34), third operational amplifier (35), the 9th resistance (36), the tenth resistance (37) and
Four-operational amplifier (38) forms；
The ends with the terminal R81 and third operational amplifier (35) of the 8th resistance (34) respectively the terminal R72 of 7th resistance (33)
Sub- V3- connections, the terminal V3o of third operational amplifier (35) the terminal R82 and the 9th resistance with the 8th resistance (34) respectively
(36) terminal R91 connections, the terminal R92 of the 9th resistance (36) respectively with the terminal R101 of the tenth resistance (37) and the 4th operation
The terminal V4- connections of amplifier (38)；The terminal of the terminal V3+ and four-operational amplifier (38) of third operational amplifier (35)
V4+ is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of second amplification module (4) are terminal W21 and terminal W22, and the terminal R71 of the 7th resistance (33) is put with second
The terminal W21 connections of big module (4), the terminal R102 of the tenth resistance (37) and the terminal V4o of four-operational amplifier (38) and
The terminal W22 connections of second amplification module (4).
4. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that first computing module (7)
By 1.2V power supplys (39), eleventh resistor (40), twelfth resistor (41), thirteenth resistor (42), the 5th operational amplifier
(43) it is formed with the 14th resistance (44)；
The terminal R142 of 14th resistance (44) respectively with the terminal R131 and the 5th operational amplifier of thirteenth resistor (42)
(43) terminal V5- connections, the terminal V5+ of the 5th operational amplifier (43) respectively with the terminal R112 of eleventh resistor (40) and
The terminal R121 connections of twelfth resistor (41), the terminal R111 of eleventh resistor (40) connect with the terminal U1 of 1.2V power supplys (39)
It connects；The terminal R122 of twelfth resistor (41) is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of first computing module (7) are terminal K11 and terminal K12, the terminal R141 of the 14th resistance (44) and the
The terminal K11 connections of one computing module (7), the terminal of the terminal V5o and thirteenth resistor (42) of the 5th operational amplifier (43)
R132 is connect with the terminal K12 of the first computing module (7).
5. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that second computing module
(15) by the 15th resistance (45), the 6th operational amplifier (46), the 17th resistance (47), the 18th resistance (48), the 19th
Resistance (49), the 7th operational amplifier (50), the 20th resistance (51), -1V power supplys (52) and the 16th resistance (53) composition；
The terminal R152 of 15th resistance (45) the terminal R161 and the 6th operational amplifier with the 16th resistance (53) respectively
(46) terminal V6- connections, the terminal V6o of the 6th operational amplifier (46) respectively with the terminal R162 of the 16th resistance (53) and
The terminal R171 connections of 17th resistance (47), the end with the 18th resistance (48) respectively the terminal R172 of the 17th resistance (47)
The terminal V7+ connections of sub- R181 and the 7th operational amplifier (50), the terminal V7- of the 7th operational amplifier (50) is respectively with the tenth
The terminal R202 connections of the terminal R191 of nine resistance (49) and the 20th resistance (51), the terminal R201 of the 20th resistance (51)
It is connect with the terminal U2 of -1V power supplys (52)；The terminal of the terminal V6+ and the 18th resistance (48) of 6th operational amplifier (46)
R182 is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of second computing module (15) are terminal K21 and terminal K22, the terminal R151 of the 15th resistance (45) and the
The terminal K21 connections of two computing modules (15), the end of the terminal R192 and the 7th operational amplifier (50) of the 19th resistance (49)
Sub- V7o is connect with the terminal K22 of the second computing module (15).
6. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that the third computing module
(17) by the 21st resistance (54), the 8th operational amplifier (55), the 23rd resistance (56), the 24th resistance (57),
25th resistance (58), the 9th operational amplifier (59), the 26th resistance (60), 0.5V power supplys (61) and the 22nd electricity
Hinder (62) composition；
The terminal R212 of 21st resistance (54) the terminal R221 and the 8th operation amplifier with the 22nd resistance (62) respectively
The terminal V8- connections of device (55), the terminal V8o of the 8th operational amplifier (55) terminal with the 22nd resistance (62) respectively
The terminal R231 connections of R222 and the 23rd resistance (56), the terminal R232 of the 23rd resistance (56) is respectively with the 24th
The terminal V9+ connections of the terminal R241 of resistance (57) and the 9th operational amplifier (59), the terminal of the 9th operational amplifier (59)
V9- is connect with the terminal R262 of the terminal R251 of the 25th resistance (58) and the 26th resistance (60) respectively, and the 26th
The terminal R261 of resistance (60) is connect with the terminal U3 of 0.5V power supplys (61)；The terminal V8+ of 8th operational amplifier (55) and
The terminal R242 of 24 resistance (57) is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of third computing module (17) are terminal K31 and terminal K32, the terminal R211 and third of the 21st resistance (54)
The terminal K31 connections of computing module (17), the end of the terminal R252 and the 9th operational amplifier (59) of the 25th resistance (58)
Sub- V9o is connect with the terminal K32 of third computing module (17).
7. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that the 4th computing module
(23) by the 27th resistance (63), the 28th resistance (64), the tenth operational amplifier (65), the 31st resistance (66),
11st operational amplifier (67), the 32nd resistance (68), the 30th resistance (69), the 29th resistance (70) and 1V power supplys
(71) it forms；
The terminal R272 of 27th resistance (63) the terminal R281 and the tenth operation amplifier with the 28th resistance (64) respectively
The terminal V10+ connections of device (65), the terminal V10- of the tenth operational amplifier (65) terminal with the 30th resistance (69) respectively
The terminal R292 connections of R301 and the 29th resistance (70), terminal R291 and the 1V power supplys (71) of the 29th resistance (70)
Terminal U4 connections；The terminal V10o of tenth operational amplifier (65) terminal R302 and the 30th with the 30th resistance (69) respectively
The terminal R311 connections of one resistance (66), the terminal R312 of the 31st resistance (66) respectively with the 11st operational amplifier (67)
Terminal V11- and the 32nd resistance (68) terminal R321 connections；The terminal V11+ of 11st operational amplifier (67) and
The terminal R282 of 28 resistance (64) is connect with the terminal GND for the equivalent circuit that fractional order recalls container；
The both ends of 4th computing module (23) are terminal K41 and terminal K42, the terminal R271 and the 4th of the 27th resistance (63)
The terminal K41 connections of computing module (23), the terminal R322 of the 32nd resistance (68) and the 11st operational amplifier (67)
Terminal V11o is connect with the terminal K42 of the 4th computing module (23).
8. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that the analog inverter (16)
It is made of the 33rd resistance (72), the 34th resistance (73) and the 12nd operational amplifier (74)；
The terminal R332 of 33rd resistance (72) is put with the terminal R341 of the 34th resistance (73) and the 12nd operation respectively
The terminal V12- connections of big device (74), terminal V12+ and the fractional order of the 12nd operational amplifier (74) recall the equivalent circuit of container
Terminal GND connections；
The both ends of the analog inverter (16) are terminal Hi and terminal Ho, terminal R331 and the simulation of the 33rd resistance (72)
The terminal Hi connections of phase inverter (16), the terminal of the terminal R342 and the 12nd operational amplifier (74) of the 34th resistance (73)
V12o is connect with the terminal Ho of analog inverter (16).
9. fractional order according to claim 1 recalls the equivalent circuit of container, it is characterised in that the voltage-controlled phase shifter (19)
By the first junction field effect transistor (75), third capacitance (76), the 35th resistance (77), the 13rd operational amplifier
(78), the 36th resistance (79), the 37th resistance (80), the 38th resistance (81), the second junction field effect transistor
(82) it is formed with the second capacitance (83)；
The terminal G13 of first junction field effect transistor (75) is electric with the terminal C31 of third capacitance (76) and the 35th respectively
Hinder the terminal R351 connections of (77), the end with the 13rd operational amplifier (78) respectively the terminal R352 of the 35th resistance (77)
The terminal R361 connections of sub- V13+ and the 36th resistance (79), the terminal C22 of the second capacitance (83) respectively with the second junction type field
The terminal R381 connections of the terminal G21 of effect transistor (82) and the 38th resistance (81), the end of the 38th resistance (81)
Sub- R382 is connect with the terminal R371 of the terminal V13- of the 13rd operational amplifier (78) and the 37th resistance (80) respectively；
Fractional order recall the terminal GND of the equivalent circuit of container respectively with the terminal C32 of third capacitance (76), the second junction field
The terminal R362 connections of the terminal G23 of transistor (82), the 36th resistance (79)；
The voltage-controlled phase shifter (19) has terminal Φ 0, terminal Φ 1 and terminal Φ 2 respectively；First junction field effect transistor (75)
Terminal G11 and the terminal C21 of the second capacitance (83) connect with the terminal Φ 0 of voltage-controlled phase shifter (19), the first junction field
The terminal of the terminal G12 of transistor (75) and the terminal G22 and voltage-controlled phase shifter (19) of the second junction field effect transistor (82)
The connections of Φ 1, the terminal R372 and shift phase by voltage controlled of the terminal V13o and the 37th resistance (80) of the 13rd operational amplifier (78)
The connections of terminal Φ 2 of device (19).
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