# US 10,122,355 B2 · High-power adjustable high-frequency fractional-order capacitor with order greater than 1 and control method thereof

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- Number: US 10,122,355 B2
- Document ID: US10122355B2
- Status: Granted
- Kind: B2
- Application number: 15/555,980
- Filed: 2016-12-17
- Published: 2018-09-20
- Granted: 2018-11-06
- Earliest claimed: 2016-07-31
- Assignees: South China University of Technology
- Applicants: South China University of Technology
- Inventors: Bo Zhang; Yanwei Jiang
- Web page: https://patentgrep.com/patent/US10122355B2

## CPC

- H03K 7/08: Duration or width modulation {; Duty cycle modulation}
- H02M 7/538: in a push-pull configuration (H02M7/5375 takes precedence {; with oscillating arrangements H02M7/53832, H02M7/53846})
- H03K 5/13: Arrangements having a single output and transforming input signals into pulses delivered at desired time intervals
- H02M 1/0012: {Control circuits using digital or numerical techniques (in DC/DC converters H02M3/157, H02M3/33515; in DC-AC converters H02M7/53873)}
- H02M 7/4815: {Resonant converters (H02M7/4811 and H02M7/4826 take precedence)}
- H02M 7/537: using semiconductor devices only, e.g. single switched pulse inverters
- Y02B 70/10: Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes
- H03K: PULSE TECHNIQUE (measuring pulse characteristics G01R; modulating sinusoidal oscillations with pulses H03C; transmission of digital information H04L; discriminator circuits detecting phase difference between two signals by counting or integrating cycles of oscillation H03D3/04; automatic control, starting, synchronisation or stabilisation of generators of electronic oscillations or pulses where the type of generator is irrelevant or unspecified H03L; coding, decoding or code conversion, in general H03M)
- H02M: APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF (transformers H01F; dynamo-electric converters H02K47/00; controlling transformers, reactors or choke coils, control or regulation of electric motors, generators or dynamo-electric converters H02P)
- Y02B: CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS

## Abstract

The present invention provides a high-power adjustable high-frequency fractional order capacitor with an order greater than 1, and a control method thereof. The fractional-order capacitor comprises an alternating current input module, a coupling impedance, a high-frequency alternating current controlled voltage source, a controller and an alternating current input sampling module. The controller generates a corresponding control signal according to an input voltage signal and an input current signal which are acquired by the alternating current input sampling module, and controls an output voltage of the controlled power source, such that an input current and an input voltage satisfy a current-voltage relationship of the fractional-order capacitor. The obtained relationship between the input current and the input voltage is consistent with the definition of the fractional-order capacitor with the order greater than 1.

## Claims

### Claim 1

A high-power adjustable high-frequency fractional-order capacitor with an order greater than 1, comprising:
an alternating current input module (1);
a coupling impedance (2);
a high-frequency alternating current controlled voltage source (3);
an alternating current input sampling module (4); and
a controller (5),
wherein an end (A) of the alternating current input module (1) is connected to an end of the coupling impedance (2), the other end of the coupling impedance (2) is connected to a positive output end (P) of the high-frequency alternating current controlled voltage source (3), a negative output end (N) of the high-frequency alternating current controlled voltage source (3) is connected to the other end (B) of the alternating current input module (1),
wherein the alternating current sampling module (4) samples an input current and an input voltage to obtain an amplitude and a phase of the input current as well as an amplitude and a phase of the input voltage and feeds the amplitudes and phases into the controller (5), the controller (5) processes sampled signals based on a fractional-order capacitor current closed-loop control algorithm and generates a control signal to send to the high-frequency alternating current controlled voltage source (3), and the high-frequency alternating current controlled voltage source (3) generates a fundamental wave voltage between the positive output end (P) and the negative output end (N) according to the control signal.

### Claim 2 (depends on 1)

The high-power adjustable high-frequency fractional-order capacitor with the order greater than 1 according to claim 1, wherein the high-frequency alternating current controlled voltage source (3) is formed of a high-frequency alternating current inverter circuit capable of outputting a high-frequency alternating current voltage, the high-frequency alternating current controlled voltage source (3) outputs an active power outward such that the order greater than 1 is achieved, and fractional-order capacitors with different power levels are achieved by using controlled voltage sources with different power capacities.

### Claim 3 (depends on 1)

The high-power adjustable high-frequency fractional-order capacitor with the order greater than 1 according to claim 1, wherein the controller (5) is formed of a digital signal processor.

### Claim 4 (depends on 1)

The high-power adjustable high-frequency fractional-order capacitor with the order greater than 1 according to claim 1, wherein the fractional-order capacitor current closed-loop control algorithm is a current closed-loop control algorithm based on phasor analysis.

### Claim 5 (depends on 1)

The high-power adjustable high-frequency fractional-order capacitor with the order greater than 1 according to claim 1, wherein the fractional-order capacitor current closed-loop control algorithm is achieved when running on a digital signal processor, and online adjustments of a capacitance and the order of the fractional-order capacitor are achieved by online modifying a software parameter.

### Claim 6 (depends on 1)

The high-power adjustable high-frequency fractional-order capacitor with the order greater than 1 according to claim 1, wherein the order is α, whose value range is as follows:
α>1 and α∈(4k+1,4l+2)
wherein k is an integer.

### Claim 7 (depends on 1)

A control method for a high-power adjustable high-frequency fractional-order capacitor with an order greater than 1 according to claim 1, wherein a fractional-order capacitor current closed-loop control algorithm is adopted as based on a “phasor analysis”, and the method specifically comprises:
assuming that an input voltage Vin, an input current Iin, and an output voltage VF of a high-frequency controlled source are all pure sinusoidal within an alternating current cycle and are co-frequency sinusoidal quantities;
when VF, Vin and Iin are all sinusoidal, waveforms thereof are only depicted by frequency, amplitude and initial phase, and the waveforms are represented by the phasor analysis, a complex plane is constructed by using a direction of Vin as a real axis, and 90 degrees leading the direction of Vin as an imaginary axis, and then phasor forms and an expression on the complex plane of VF, Vin and Iin are as follows:
{dot over (V)}F=VFm∠(φF)=VF_REAL+jVF_IMA
{dot over (V)}in=Vinm∠(0)=Vinm
İin=Iin∠(φi)=Iin_REAL+jIin_IMA,
wherein φF and φi are angle values of the output voltage of the controlled voltage source and the input voltage leading the input current, respectively, VFm is an amplitude of the output voltage of the controlled source, respectively, VF_REAL and VF_IMA are a real portion and an imaginary portion of {dot over (V)}F, respectively, and Iin_REAL and Iin_IMA are a real portion and an imaginary portion of İin, respectively;
after a controller converts the input voltage of the alternating current input sampling module into a phasor expression, performing following operation:
I
•
ref
=
⁢
(
jw
)
α
⁢
C
a
⁢
V
in
•
=
w
α
⁢
C
a
⁢
V
inm
⁢
j
α
=
⁢
w
α
⁢
C
a
⁢
V
inm
⁢
cos
⁡
(
π
2
⁢
α
)
+
jw
α
⁢
C
a
⁢
V
inm
⁢
sin
⁡
(
π
2
⁢
α
)
=
⁢
I
ref_REAL
+
jI
ref_IMA
,
wherein İref is a phasor expression of a current given signal Iref(t) in the fractional-order capacitor current closed-loop control algorithm, Iref_REAL and Iref_IMA are a real portion and an imaginary portion of İref, respectively, Cα is a capacitance of the fractional-order capacitor, α is the order of the fractional-order capacitor, and as seen from the above formula, a relationship between the current given signal İref and the input voltage Vin is a current-voltage relationship of the fractional-order capacitor; and
comparing the current given signal İref with the input current İin to obtain a difference, and obtaining a voltage {dot over (V)}F desired to be output by the high-frequency alternating current controlled voltage source from the obtained difference by the current closed-loop control algorithm, and converting the voltage into the control signal D to regulate the input current İin, such that the input current İin traces the current given signal İref, that is, such that the relationship between the input current and the input voltage is the current-voltage relationship of the fractional-order capacitor.