CN106067792A - High-power fractional order electric capacity and the control method thereof that a kind of exponent number is more than 1 - Google Patents

Abstract

The present invention provides a kind of exponent number high-power fractional order electric capacity more than 1 and control method thereof.High-power fractional order electric capacity includes alternating current input power supplying, coupling inductance, controlled voltage source, controller, voltage sample device, current sampler.Input voltage signal that control method middle controller collects respectively according to voltage sample device and current sampler and input current signal, produce corresponding control signal, control the output voltage of controlled voltage source, make to meet between input current and input voltage the current-voltage correlation of fractional order electric capacity.Controlled voltage source of the present invention is made up of with AC/DC pwm converter direct voltage source, has the flexible adjustable feature of operating characteristic, and fractional order Capacitance Power is determined by pwm converter.The present invention can realize the fractional order electric capacity of different capacity grade, can be by designing the running parameter of pwm converter, it is achieved the exponent number of the different capacity grade fractional order electric capacity more than 1.

Description

High-power fractional order electric capacity and the control method thereof that a kind of exponent number is more than 1

Technical field

The present invention relates to fractional order device configuration technical field, be specifically related to a kind of exponent number high-power fractional order more than 1 Electric capacity and control method thereof.

Background technology

Fractional calculus has had the history of more than 300 year, and the order of calculus is generalized to mark very from integer rank by it To plural number.Fractional calculus can disclose some phenomenons in nature more really.It is true that integer rank capacitor is at this Being non-existent in matter, it is the element with fractional order character, the capacitor in the most current reality, and major part is all rank Number is connected to 1, for ignoring completely during fractional order.But, if the fractional order character of capacitor can be utilized, have mesh Design different rank, capacitance and the fractional order electric capacity of power, then just can open up the new application of capacitor. 1964, American scholar G.E Carlson definition according to fractional calculus in paper employed " fractional order electricity first Hold " this concept, and utilize Newton iteration method to give the passive circuit equivalent model of fractional order electric capacity of specific order；Hereafter Lot of domestic and foreign scholar utilizes traditional resistance, electric capacity, inductance and operational amplifier etc. to propose multiple structure fractional order electric capacity Scheme, but all may be only available for the power of milliwatt level, seriously limit the application in various power occasions of the fractional order electric capacity. Also there is scholar's concept based on fractals and manufacture fractional order electric capacity by silicon technology, but 1 can only be less than at electric capacity exponent number Realize in particular range.

Summary of the invention

For shortcoming and the deficiency of currently available technology, the present invention provides a kind of exponent number high-power fractional order electricity more than 1 Holding and control method, the control signal specifically produced with controller controls the output fundamental voltage of controlled voltage source, makes defeated Enter electric current and input voltage and meet the definition of fractional order electric capacity, by arranging controller, can realize different capacitance and exponent number point Number rank electric capacity.Controlled voltage source is made up of with AC/DC pwm converter direct voltage source, has operating characteristic the most adjustable Feature, and fractional order Capacitance Power determines by pwm converter, therefore the present invention can realize the fractional order electricity of different capacity grade Hold.

The purpose of the present invention is achieved through the following technical solutions.

A kind of exponent number high-power fractional order electric capacity more than 1, it includes AC-input voltage source, coupling inductance, controlled electricity Potential source, current sampler, voltage sample device and controller.The one end in input ac voltage source is connected with one end of coupling inductance, The other end of coupling inductance is connected with the positive output end of controlled voltage source, the negative output terminal of controlled voltage source and AC-input voltage The other end in source connects；Current sampler sampling input current I_inAnd send into controller, voltage sample device sampled input voltage V_in And send into controller；The controller input current to sampling and input voltage carry out processing and produce control signal D and deliver to controlled Voltage source.Controlled voltage source produces fundamental voltage V according to control signal D between positive output end and negative output terminal_F。

Further, in fractional order electric capacity described above, from Kirchhoff's law:

$I_{in}\left(s\right)=\frac{V_{in}\left(s\right)-V_F\left(s\right)}{{\mathrm{sL}}_f},$

Understood at input voltage V by formula_inIn the case of Yi Zhi, control controlled voltage source output fundamental voltage V_FCan make defeated Enter electric current I_inFor random waveform.Therefore, correct control output fundamental voltage V_F, input current I can be made_inWith input voltage V_inBetween pass tie up to meet at required frequency the definition of fractional order electric capacity.

Further, controlled voltage source of the present invention is made up of with AC/DC pwm converter direct voltage source, Can outside active power of output, the characteristic of fractional order electric capacity when meeting exponent number more than 1.The basic functional principle of controlled voltage source is Control signal D is converted into pulse width modulating signal, to be used for driving the switching tube in pwm circuit, thus controls pwm circuit Output fundamental voltage V_F, to control input current I_inWith input voltage V at required frequency_inBetween relation meet fractional order The relation of capacitance current voltage.

Further, in the control method of above-mentioned fractional order electric capacity, it is defeated that first voltage sample device is sampled by controller Entering voltage and carry out fractional calculus computing, the output of fractional calculus computing is given as the electric current of closed-loop current control algorithm Determine signal I_ref, the expression formula of fractional calculus algorithm is:

I_ref(s)=V_in(s)s^αC_α,

I in formula_refS () is given value of current signal I_refThe Laplace transform of (t), V_inS () is input voltage signal V_in The Laplace transform of (t), s^αC_αFor the admittance of fractional order electric capacity, C_αFor the capacitance of fractional order electric capacity, α is fractional order electric capacity Exponent number, and α ＞ 1.

Given value of current signal I_refWith input current I_inRelatively, the difference obtained passes through closed-loop current control algorithm, output control Signal D processed, control signal D is by controlling the output fundamental voltage V of controlled voltage source_FRegulation input current I_in, make input current I_inFollow current Setting signal I_ref, it may be assumed that

I_in(s)=I_ref(s)=V_in(s)s^αC_α,

Because s^αC_αFor the admittance of fractional order electric capacity, thus at required frequency, realize input current and input voltage mark The relation of rank capacitance voltage electric current is:

$\frac{I_{in}\left(s\right)}{V_{in}\left(s\right)}=s^{\mathrm{\α}}{C}_{\mathrm{\α}}.$

Compared with prior art, the invention have the advantages that and technique effect: a kind of exponent number that the present invention provides is more than 1 Powerful fractional order electric capacity, the obtained pass between input current input voltage ties up at required operating frequency and exponent number The definition of the fractional order electric capacity more than 1 is completely the same, it is also possible to according to the needs of application scenario, by adjusting the calculation of controller Method, flexible realizes exponent number and the capacitance of different fractional order electric capacity, and the fractional order Capacitance Power that realized of the present invention by Controlled voltage source determines, therefore can be selected for the controlled voltage source of different capacity grade to adapt to different power applications.

Accompanying drawing explanation

The fractional order capacitor model that Fig. 1 is more than 1 for the exponent number provided in embodiment.

Fig. 2 is the fractional order capacitor control system block diagram in embodiment.

Fig. 3 is the fractional order electric capacity simulating schematic diagram in embodiment.

Fig. 4 is input voltage and the simulation waveform figure of input current of embodiment mid score rank electric capacity.

Fig. 5 is input voltage and the experimental waveform of input current of embodiment mid score rank electric capacity.

Specific embodiments

For present disclosure and feature are expanded on further, below in conjunction with accompanying drawing, specific embodiments of the present invention are carried out Illustrate, but the enforcement of the present invention and protection are not limited to this.

The ultimate principle of the present invention high-power fractional order electric capacity is that the control signal with controller generation is to controlled voltage source It is controlled, makes the definition of the fractional order electric capacity meeting exponent number between the input current of circuit and input voltage more than 1, whole electricity Road is equivalent to a fractional order electric capacity.

Such as Fig. 1, a kind of exponent number high-power fractional order electric capacity more than 1, it includes input ac voltage source 1, coupling inductance 2, controlled voltage source 3, current sampler 4, voltage sample device 5, controller 6.One end A in input ac voltage source 1 with couple electricity One end of sense 2 connects, and the other end of coupling inductance 2 is connected with the positive output end P of controlled voltage source 3, controlled voltage source 3 negative defeated Go out to hold N to be connected with the other end B in input ac voltage source 1；Current sampler 4 is sampled input current I_in, voltage sample device 5 is sampled Input voltage V_in, controller passes through at the fractional order capacitance current closed loop control algorithm input current to sampling and voltage Manage and produce control signal D and deliver to controlled voltage source 3.Controlled voltage source 3 according to control signal D in positive output end P and negative output Fundamental voltage V is exported between end N_F。

As it is shown in figure 1, the AC/DC pwm circuit that controlled voltage source uses DC side to be direct voltage source, in this example In, AC/DC pwm circuit uses single-phase full bridge circuit.If using control signal D as the modulating wave of pwm circuit, in modulation degree In the case of 1, pwm circuit output fundamental voltage V_FIdentical with the waveform of control signal D, amplitude in proportion is:

$K_{pwm}=\frac{V_F}{D}=\frac{V_{DC}}{V_{tri}},---\left(1\right)$

V in formula_triFor carrier wave (triangular wave) peak value, V_DCVoltage for DC voltage source.

Understand as shown in Figure 1:

$I_{in}\left(s\right)=\frac{V_{in}\left(s\right)-V_F\left(s\right)}{{\mathrm{sL}}_f}=\frac{V_{in}\left(s\right)-{\mathrm{DK}}_{pwm}}{{\mathrm{sL}}_f},---\left(2\right)$

Therefore regulation control signal D can control input current I_in, control signal D is produced by controller, controls process concrete Including fractional calculus computing and closed-loop current control algorithm, as shown in Figure 2.The input voltage V that controller will sample_inEnter Row fractional calculus computing, obtains given value of current signal I_ref:

I_ref(s)=V_in(s)s^αC_α, (3)

Wherein s^αThe calculating of link, its principle, according to Oustaloup method, takes finite term approximate processing and calculates.

Given value of current signal I_refWith input current I_inRelatively, the difference obtained is controlled by closed-loop current control algorithm Signal D processed.The closed-loop current control algorithm used in present embodiment is that the ratio that tape input electric voltage feed forward compensates controls, i.e.

D=K_comV_in(s)-(I_ref(s)-I_in(s))K_p, (4)

K in formula_pFor proportionality coefficient, K_comFor penalty coefficient, and

$K_{com}=\frac{1}{K_{pwm}},---\left(5\right)$

Can be obtained by formula (1), (2), (3), (4) and (5):

$\frac{I_{in}}{V_{in}}=s^{\mathrm{\α}}{C}_{\mathrm{\α}}\frac{K_p{K}_{PWM}}{{\mathrm{sL}}_f+K_p{K}_{PWM}},---\left(6\right)$

K in formula_pK_PWM/(sL_f+K_pK_PWM) it is low pass filter, its low-band gain is 1, and cut-off frequency is K_pK_PWMrad/ S, at low-frequency range input current voltage relationship be i.e.:

$\frac{I_{in}}{V_{in}}=s^{\mathrm{\α}}{C}_{\mathrm{\α}},---\left(7\right)$

Obviously formula (7) meets fractional order capacitance current voltage relationship expression formula, it was demonstrated that the correctness of the present invention.

Fig. 3 is a kind of exponent number high-power fractional order electric capacity more than 1 simulating schematic diagram under PSIM environment, wherein, Vsen1 is voltage sample device, and Isen1 is current sampler, and voltage sample device is 1 with the downsampling factor of current sampler； Oustaloup module, penalty coefficient Kcom, Proportional coefficient K p, subtractor Sub1 and subtractor Sub2 constitute controller.

Single-phase full bridge circuit and direct voltage source Vdc constitute the main circuit of controlled voltage source.Comparator Comp1, comparator Comp2, adder Sum1, phase inverter NOT1, phase inverter NOT2 and triangular wave Vtri constitute single-stage frequency multiplication PWM modulator, control The signal D of device processed output is through single-stage frequency multiplication PWM modulator output pwm signal and controls single-phase full bridge after drive amplification The turn-on and turn-off of 4 switching tubes in pwm circuit.

If input ac voltage is 110V/50Hz, direct current power source voltage is 200V, and triangular carrier is 1V/20kHz, coupling Inductance Lf is 2mH, and penalty coefficient is 0.005, and proportionality coefficient is 0.6.

The fractional order electric capacity of simulation is: C_α=10u, α=1.5, f=50Hz, the input current of phantom and input electricity Corrugating is sent out shown in Fig. 4, and the relation between them is completely the same with the definition of fractional order electric capacity.Build according to the simulation parameter of Fig. 3 2 passages of the waveform of circuit in kind, input voltage and input current corresponding diagram 5 respectively and 3 passages, experimental waveform also with emulation Waveform is consistent, demonstrates feasibility and the correctness of circuit of the present invention.

The present invention uses AC/DC pwm converter to realize controlled voltage source, and changer DC side is direct voltage source, Having a characteristic that first, DC side is direct voltage source, exportable active power, fractional order electric capacity when meeting exponent number more than 1 Characteristic；Second, control signal can be designed according to application scenario, use PWM mode to control the output voltage of changer, it is achieved no Fractional order electric capacity with capacitance and exponent number；3rd, the watt level of fractional order electric capacity is determined by the rated power of pwm converter, Can be by designing the running parameter of pwm converter, it is achieved the exponent number of the different capacity grade fractional order electric capacity more than 1, for the present The rear exponent number fractional order electric capacity more than 1 provides reference in the actual application of various power occasions.

Above-described embodiment is the present invention preferably embodiment, but embodiments of the present invention are not by described embodiment Limit, the change made under other any spirit without departing from the present invention and principle, modify, substitute, combine, simplify, All should be the substitute mode of equivalence, within being included in protection scope of the present invention.

Claims (5)

1. the high-power fractional order electric capacity that an exponent number is more than 1, it is characterised in that include AC-input voltage source (1), coupling electricity Sense (2), controlled voltage source (3), current sampler (4), voltage sample device (5) and controller (6), AC-input voltage source (1) One end (A) be connected with one end of coupling inductance (2), the positive output end of the other end of coupling inductance (2) and controlled voltage source (3) (P) connecting, the negative output terminal (N) of controlled voltage source (3) is connected with the other end (B) of AC-input voltage source (1), current sample Device (4) sampling input current I_inAnd send into controller, voltage sample device (5) sampled input voltage V_inAnd send into controller, control The device input current to sampling and input voltage process and produce control signal (D) and deliver to controlled voltage source (3), controlled Voltage source (3) produces fundamental voltage (V according to control signal (D) between positive output end (P) and negative output terminal (N)_F)。

A kind of exponent number the most according to claim 1 high-power fractional order electric capacity more than 1, it is characterised in that described controlled electricity Potential source (3) is made up of with AC/DC pwm converter DC source, controlled voltage source (3) energy outwards active power of output, real Existing exponent number is more than 1, by selecting the controlled voltage source of different capacity capacity, it is achieved the fractional order electric capacity of different capacity grade.

3. the control method of the high-power fractional order electric capacity of 1 it is more than for a kind of exponent number described in claim 1, it is characterised in that Controller processes according to the fractional order capacitance current closed loop control algorithm input current to sampling and input voltage and produces Raw control signal (D) delivers to controlled voltage source (3), and controlled voltage source (3) and is born at positive output end (P) according to control signal (D) Fundamental voltage (V is produced between outfan (N)_F)；Described fractional order capacitance current closed loop control algorithm particularly as follows:

Fractional calculus algorithm and closed-loop current control algorithm, the input voltage V that voltage sample device is sampled by controller_inEnter Row fractional calculus computing, makes signal and the input voltage V of output_inPass tie up to work needed for meet fractional order electricity at frequency The definition held, and using the output signal of fractional calculus computing as given value of current signal I_ref, with input current I_inRelatively, The difference obtained passes through closed-loop current control algorithm, and output control signal D is adjusted by controlling the output voltage of controlled voltage source Joint input current I_in, make input current I_inFollow current Setting signal I_ref, thus at required frequency, make input current I_inWith Input voltage V_inThe relation realizing fractional order capacitance current voltage is:

$\frac{I_{in}\left(s\right)}{V_{in}\left(s\right)}=Y\left(s\right)=s^{\mathrm{\α}}{C}_{\mathrm{\α}},$

I in formula_inS () is input current I_inThe Laplace transform of (t), V_inS () is input voltage signal V_inThe La Pula of (t) This conversion, Y (s) is the admittance of fractional order electric capacity, C_αFor the capacitance of fractional order electric capacity, α is the exponent number of fractional order electric capacity.

Control method the most according to claim 3, it is characterised in that the expression formula of described fractional calculus algorithm is:

I_ref(s)=V_in(s)s^αC_α,

I in formula_refS () is given value of current signal I_refThe Laplace transform of (t).

Control method the most according to claim 3, it is characterised in that the span of described exponent number α is as follows:

α ＞ 1 and α ∈ (4k+1,4k+2)

Wherein k is integer.