CN107979099A - One kind is based on fractional order PIλUPFC suppress sub-synchronous oscillation method - Google Patents
One kind is based on fractional order PIλUPFC suppress sub-synchronous oscillation method Download PDFInfo
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- CN107979099A CN107979099A CN201711267438.6A CN201711267438A CN107979099A CN 107979099 A CN107979099 A CN 107979099A CN 201711267438 A CN201711267438 A CN 201711267438A CN 107979099 A CN107979099 A CN 107979099A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/002—Flicker reduction, e.g. compensation of flicker introduced by non-linear load
Abstract
The invention discloses one kind to be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, initially set up THE UPFC UPFC mathematical models under two-phase synchronous rotary d q coordinate systems, voltage and current containing subsynchronous component in circuit is obtained by measuring device, the component for assessing subsynchronous voltage and current is calculated with low-pass filter, based on fractional order PIλController design UPFC control strategies, offset the subsynchronous component that THE UPFC UPFC is produced and injected in the subsynchronous electric current of circuit and voltage and circuit, achieve the purpose that suppression system sub-synchronous oscillation.The present invention does not have to obtain distal end generator speed deviation or set end voltage signal, is easy to actual implementation, relatively reliable, fractional order PIλThe dynamic property of controller is outstanding, and robust performance is more preferable, the effect for reaching suppression system sub-synchronous oscillation that can more protrude.
Description
Technical field
UPFC the present invention relates to field of power suppresses sub-synchronous oscillation method, and in particular to one kind is based on fractional order
PIλUPFC suppress sub-synchronous oscillation method.
Background technology
Series capacitor compensation is used in high pressure and UHV transmission line, can effectively improve system stability limit,
Increase the distance of transmission, additionally it is possible to improve the capacity of transimission power, but the transmission line of electricity containing series compensator and steamer are sent out
When motor is connected, sub-synchronous oscillation can be produced, suppresses when vibration is serious the whole shafting system of generator can be caused thorough not in time
Bottom is damaged；With the rapid development of Power Electronic Technique, there are many researchs to be directed to utilizing and solved during advanced power electronics
Sub-synchronous oscillation problem, but how subsynchronous component accurately is obtained from measuring signal, which kind of control ＆ protection strategy can be kept away
It is main problem to exempt from system sub-synchronous oscillation problem.
The content of the invention
In order to give full play to the ability of THE UPFC UPFC, the subsynchronous of THE UPFC UPFC is improved
Rejection ability is vibrated, the technical problem to be solved in the present invention is to provide one kind to be based on fractional order PIλUPFC suppress subsynchronous to shake
Oscillation method.
To solve the above problems, the technical solution adopted in the present invention is：
One kind is based on fractional order PIλUPFC suppress sub-synchronous oscillation method, comprise the following steps：
Step 1：Establish mathematical models of the THE UPFC UPFC under two-phase synchronous rotary d-q coordinate systems；
Step 2：Establish the calculating assessment system of subsynchronous component, obtain in circuit the electric current containing subsynchronous component and
Voltage signal；
Step 3：Suppression sub-synchronous oscillation controllers of the THE UPFC UPFC based on fractional order PI is established, makes system
The subsynchronous component that one flow controller UPFC produced and injected in the subsynchronous electric current of circuit and voltage and circuit offsets, and reaches
The purpose of suppression system sub-synchronous oscillation.
In step 1, the mathematical model under the two-phase synchronous rotary d-q coordinate systems of THE UPFC UPFC is：
Series side output voltage be：
Vsed=kmseVdc sin(Φ+γ) (2)
Vseq=kmseVdc cos(Φ+γ) (3)
Wherein：kmseFor the series side transverter index of modulation, Φ is the angle of series side line current, and γ notes for series side
Enter the angle of voltage leading line electric current；
The voltage of side in parallel output is：
Vshd=kmshVdc sin(θ+α) (5)
Vshq=kmshVdc cos(θ+α) (6)
Wherein：kmshFor the transverter index of modulation in side in parallel, θ is side in parallel current angle, and α is that side in parallel injecting voltage surpasses
The angle of preceding electric current；
The reactive current and watt current of THE UPFC UPFC parallel connections side injected system are respectively by busbar in parallel electricity
Pressure and the control of DC bus-bar voltage controller, the reactive voltage and active voltage component of series side injected system are respectively by series line
Road is active and reactive power flow controller controls.
In step 2, subsynchronous voltage rotates clockwise under synchronous coordinate system, it is assumed that generator amature vibrates angular frequency
For wm, fundamental frequency angular speed is w0, introduce dqmCoordinate system represents and the rotating one group of new coordinate system of synchronizing voltage vector synchronization, then
Have：
Following table f represents fundamental component, and sub represents subsynchronous component；
According to the relation of above formula fundamental component and subsynchronous component, by it is low with filtering can from the line voltage distribution of acquisition and
Current signal obtains fundamental component and subsynchronous component, completes calculating and assessment to subsynchronous component, and relational expression is：
Wherein：P represents differential operator, Hf(p)、Hsub(p) be respectively fundamental component and subsynchronous component low-pass filtering
Device；
Formula (10) is changed：
The same subsynchronous current component expression formula of pattern (11) is changed is into synchronous rotary d-q coordinate systems：
By formula (8) and (12) can calculate measurement voltage in fundamental component and subsynchronous component, formula (9) and
(13) fundamental component and subsynchronous component in measurement electric current can be calculated.
In step 3, the mathematical model that THE UPFC UPFC suppresses sub-synchronous oscillation controller is：
Wherein：R、LTWith L " be respectively THE UPFC UPFC parallel connections busbar to synchronous generator resistance value, change
The leakage reactance of depressor and the subsynchronous reactance value of synchronous generator, upper table * represent the reference value of respective amount, Kp、KiIt is fraction with λ
Rank PIλThe real number exponent number of the proportionality constant of controller, integral constant and integrator.
In the above-mentioned technical solutions, THE UPFC UPFC selects the three-phase transverter of 48 pulses.
In the above-mentioned technical solutions, sublevel number PIλThe parameter tuning of controller by magnitude margin method, phase margin method,
Dominant pole method, optimum control rule method, block-scheme method, genetic algorithm or limit search method.
The beneficial effect that the present invention is reached：
1. directly take the electric current of measurement circuit, voltage to be used as foundation to extract subsynchronous signal component, it is easy to implement, it is secondary same
Walk component and calculate appraisal procedure, more rapidly, accurately, reliably, improve UPFC sub-synchronous oscillations suppress controller accurate and
Rapidity；
2. it is based on sublevel number PIλUPFC sub-synchronous oscillations suppress controller, can more fast and accurately control unification
The voltage and current that flow controller UPFC injected systems are adapted, the subsynchronous component of more preferable suppression system, proposes control
System strategy is more rationally accurate, reduces the burden of UPFC connection in series-parallel side.
Brief description of the drawings
Fig. 1 is that THE UPFC UPFC of the present invention suppresses sub-synchronous oscillation controller overall pattern.
Fig. 2 is IEEE the first standard sub-synchronous oscillation research models of the invention containing THE UPFC UPFC devices
Line chart.
Fig. 3 is the calculating subsynchronous component block diagram of the invention based on low-pass filtering.
Fig. 4 is that the present invention is based on fractional order PIλSuppress the subsynchronous component shunt voltage component control block diagram that shakes.
Fig. 5 is that the present invention is based on fractional order PIλSuppress the subsynchronous component parallel-current component control block diagram that shakes.
Embodiment
In order to deepen the understanding of the present invention, detailed description of the present invention embodiment below in conjunction with the accompanying drawings, the reality
Apply example to be only used for explaining the present invention, do not restrict the protection scope of the present invention.
One kind of the present invention is based on fractional order PIλUPFC suppress sub-synchronous oscillation method, comprise the following steps：
Step 1：Establish mathematical models of the THE UPFC UPFC under two-phase synchronous rotary d-q coordinate systems；
The three-phase transverter composition of THE UPFC UPFC preferably 48 pulses, mainly control signal, control method
Change, 48 pulses are exactly 4 cascades of side transverter in parallel, and series side 4 is cascaded, and number in parallel more multiple-harmonic is more
Few, control is more accurate, effect is more preferable, and the present invention considers cost and actual production, 48 pulse of reasonable selection；6 based on basis
Pulse transverter, using secondary coupling circuit and to shift to transformer built-up, in order to reduces harmonic component；
Mathematical model under the two-phase synchronous rotary d-q coordinate systems of UPFC is：
Series side output voltage be：
Vsed=kmseVdc sin(Φ+γ) (2)
Vseq=kmseVdc cos(Φ+γ) (3)
Wherein：kmseFor the series side transverter index of modulation, Φ is the angle of series side line current, and γ notes for series side
Enter the angle of voltage leading line electric current；
The voltage of side in parallel output is：
Vshd=kmshVdc sin(θ+α) (5)
Vshq=kmshVdc cos(θ+α) (6)
Wherein：kmshFor the transverter index of modulation in side in parallel, θ is side in parallel current angle, and α is that side in parallel injecting voltage surpasses
The angle of preceding electric current；
The reactive current and watt current of THE UPFC UPFC parallel connections side injected system are respectively by busbar in parallel electricity
Pressure and the control of DC bus-bar voltage controller, the reactive voltage and active voltage component of series side injected system are respectively by series line
Road is active and reactive power flow controller controls；
Step 2：The calculating assessment system of subsynchronous component is established, obtains subsynchronous point contained in route survey signal
The electric current and voltage signal of amount；
Subsynchronous voltage rotates clockwise under synchronous coordinate system, it is assumed that generator amature vibration angular frequency is wm, fundamental frequency
Angular speed is w0, introduce dqmCoordinate system represents and the rotating one group of new coordinate system of synchronizing voltage vector synchronization, then has：
Following table f represents fundamental component, and sub represents subsynchronous component；
According to the relation of above formula fundamental component and subsynchronous component, by it is low with filtering can from the line voltage distribution of acquisition and
Current signal obtains fundamental component and subsynchronous component, completes calculating and assessment to subsynchronous component, and relational expression is：
Wherein：P represents differential operator, Hf(p)、Hsub(p) be respectively fundamental component and subsynchronous component low-pass filtering
Device；
Formula (10) is changed：
The same subsynchronous current component expression formula of pattern (11) is changed is into synchronous rotary d-q coordinate systems：
By formula (8) and (12) can calculate measurement voltage in fundamental component and subsynchronous component, formula (9) and
(13) fundamental component and subsynchronous component in measurement electric current can be calculated, computing block diagram is as shown in Figure 3；
Shown in Fig. 1, step 3：Establish THE UPFC UPFC and be based on fractional order PIλSuppression sub-synchronous oscillation control
Device processed, makes THE UPFC UPFC produce and inject the subsynchronous component phase in the subsynchronous electric current of circuit and voltage and circuit
Offset, achieve the purpose that suppression system sub-synchronous oscillation；
THE UPFC UPFC suppress sub-synchronous oscillation controller mathematical model be：
Wherein：R、LTWith L " be respectively THE UPFC UPFC parallel connections busbar to synchronous generator resistance value, change
The leakage reactance of depressor and the subsynchronous reactance value of synchronous generator, upper table * represent the reference value of respective amount, Kp、KiIt is fraction with λ
Rank PIλThe real number exponent number of the proportionality constant of controller, integral constant and integrator；Specific voltage control logic is realized such as Fig. 4 institutes
Show, current steering logic is realized as shown in Figure 5.
Fig. 2 is IEEE the first standard sub-synchronous oscillation research model line charts for being incorporated to THE UPFC UPFC, defeated
Electric line impedance RL+XL, XSYSFor Infinite bus system equivalent reactance, circuit current-limiting reactor is XC, transformer reactance XT, device system
One flow controller UPFC is installed in high voltage side of transformer two buss lines, and wherein module G, LPB, LPA, IP, HP is respectively to send out
Motor, low pressure (LP) cylinder B, low pressure (LP) cylinder A, intermediate pressure cylinder, high pressure cylinder mass block, that is, study the mass block of the generator shafting of sub-synchronous oscillation
Spring model.
Above-mentioned sublevel number PIλThe parameter tuning of controller can pass through magnitude margin method, phase margin method, dominant pole
Method, optimum control rule method, block-scheme method, genetic algorithm or limit search method.
The present invention does not have to the speed error signal for obtaining distal end generator, directly using where THE UPFC UPFC
The voltage and current signal containing sub-synchronous oscillation component of line scan pickup coil side, is easy to actual implementation, relatively reliable；Pass through measuring device
The voltage and current containing subsynchronous component in circuit is obtained, is calculated with low-pass filter and assesses subsynchronous voltage and current
Component；And it is based on fractional order PIλThe controller that UPFC suppresses subsynchronous concussion is devised, the dynamic property of fraction solution controller is excellent
Show, robust performance is more preferable, and the effect for reaching suppression system sub-synchronous oscillation that can more protrude, gives full play to Unified Power Flow control
The value of device UPFC processed.
Claims (6)
1. one kind is based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that comprise the following steps：
Step 1：Establish mathematical models of the THE UPFC UPFC under two-phase synchronous rotary d-q coordinate systems；
Step 2：The calculating assessment system of subsynchronous component is established, obtains electric current and voltage containing subsynchronous component in circuit
Signal；
Step 3：Suppression sub-synchronous oscillation controllers of the THE UPFC UPFC based on fractional order PI is established, makes unified tide
The subsynchronous component that stream controller UPFC produced and injected in the subsynchronous electric current of circuit and voltage and circuit offsets, and reaches suppression
The purpose of system sub-synchronous oscillation.
2. a kind of according to claim 1 be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that：
Mathematical model under the two-phase synchronous rotary d-q coordinate systems of THE UPFC UPFC is：
Series side output voltage be：
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Vsed=kmseVdcsin(Φ+γ) (2)
Vseq=kmseVdccos(Φ+γ) (3)
Wherein：kmseFor the series side transverter index of modulation, Φ is the angle of series side line current, and γ is series side injection electricity
Press the angle of leading line electric current；
The voltage of side in parallel output is：
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Vshd=kmshVdcsin(θ+α) (5)
Vshq=kmshVdccos(θ+α) (6)
Wherein：kmshFor the transverter index of modulation in side in parallel, θ is side in parallel current angle, and α is that side in parallel injecting voltage is electric in advance
The angle of stream；
The reactive current and watt current of THE UPFC UPFC parallel connections side injected system respectively by busbar voltage in parallel and
DC bus-bar voltage controller controls, and the reactive voltage and active voltage component of series side injected system are had by series circuit respectively
Work(and the control of reactive power flow controller.
3. a kind of according to claim 1 be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that：
Subsynchronous voltage rotates clockwise under synchronous coordinate system, it is assumed that generator amature vibration angular frequency is wm, fundamental frequency angular speed
For w0, introduce dqmCoordinate system represents and the rotating one group of new coordinate system of synchronizing voltage vector synchronization, then has：
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Following table f represents fundamental component, and sub represents subsynchronous component；
, can be from the line voltage distribution and electric current of acquisition by low same filtering according to the relation of above formula fundamental component and subsynchronous component
Signal obtains fundamental component and subsynchronous component, completes calculating and assessment to subsynchronous component, and relational expression is：
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</msub>
<mi>t</mi>
</mrow>
</msup>
<mo>-</mo>
<msubsup>
<mi>i</mi>
<mi>f</mi>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<msup>
<mi>e</mi>
<mrow>
<msub>
<mi>jw</mi>
<mi>m</mi>
</msub>
<mi>t</mi>
</mrow>
</msup>
<mo>&rsqb;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>11</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein：P represents differential operator, Hf(p)、Hsub(p) be respectively fundamental component and subsynchronous component low-pass filter；
Formula (10) is changed：
<mrow>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>H</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>p</mi>
<mo>+</mo>
<msub>
<mi>jw</mi>
<mi>m</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>&lsqb;</mo>
<msubsup>
<mi>v</mi>
<mi>s</mi>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>f</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>12</mn>
<mo>)</mo>
</mrow>
</mrow>
The same subsynchronous current component expression formula of pattern (11) is changed is into synchronous rotary d-q coordinate systems：
<mrow>
<msubsup>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>H</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>p</mi>
<mo>+</mo>
<msub>
<mi>jw</mi>
<mi>m</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>&lsqb;</mo>
<msup>
<mi>i</mi>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msubsup>
<mi>i</mi>
<mi>f</mi>
<mrow>
<mi>d</mi>
<mi>q</mi>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>13</mn>
<mo>)</mo>
</mrow>
</mrow>
Fundamental component and subsynchronous component in measurement voltage, formula (9) and (13) can be calculated by formula (8) and (12)
Fundamental component and subsynchronous component in measurement electric current can be calculated.
4. a kind of according to claim 1 be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that：
THE UPFC UPFC suppress sub-synchronous oscillation controller mathematical model be：
<mrow>
<mtable>
<mtr>
<mtd>
<mrow>
<msubsup>
<mi>V</mi>
<mrow>
<mi>S</mi>
<mi>S</mi>
<mi>S</mi>
<mi>C</mi>
</mrow>
<mrow>
<msup>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
<mo>*</mo>
</msup>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mi>R</mi>
<mo>+</mo>
<mi>j</mi>
<mo>(</mo>
<mrow>
<msub>
<mi>w</mi>
<mn>0</mn>
</msub>
<mo>-</mo>
<msub>
<mi>w</mi>
<mi>m</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>(</mo>
<mrow>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mo>+</mo>
<msup>
<mi>L</mi>
<mrow>
<mo>&prime;</mo>
<mo>&prime;</mo>
</mrow>
</msup>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<msubsup>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>K</mi>
<mi>p</mi>
</msub>
<mo>+</mo>
<mfrac>
<msub>
<mi>K</mi>
<mi>i</mi>
</msub>
<msup>
<mi>s</mi>
<mi>&lambda;</mi>
</msup>
</mfrac>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>&lsqb;</mo>
<msubsup>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msubsup>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msup>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
<mo>*</mo>
</msup>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
</mrow>
</mtd>
</mtr>
</mtable>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>14</mn>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mtable>
<mtr>
<mtd>
<mrow>
<msubsup>
<mi>i</mi>
<mrow>
<msub>
<mi>STAT</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msup>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
<mo>*</mo>
</msup>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msubsup>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mfrac>
<mrow>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mi>R</mi>
<mo>+</mo>
<mi>j</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>w</mi>
<mn>0</mn>
</msub>
<mo>-</mo>
<msub>
<mi>w</mi>
<mi>m</mi>
</msub>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mo>+</mo>
<msup>
<mi>L</mi>
<mrow>
<mo>,</mo>
<mo>,</mo>
</mrow>
</msup>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>+</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>K</mi>
<mi>p</mi>
</msub>
<mo>+</mo>
<mfrac>
<msub>
<mi>K</mi>
<mi>i</mi>
</msub>
<msup>
<mi>s</mi>
<mi>&lambda;</mi>
</msup>
</mfrac>
<mo>&lsqb;</mo>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
</mrow>
</msubsup>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msubsup>
<mi>v</mi>
<mrow>
<mi>s</mi>
<mo>,</mo>
<mi>s</mi>
<mi>u</mi>
<mi>b</mi>
</mrow>
<mrow>
<msup>
<msub>
<mi>dq</mi>
<mi>m</mi>
</msub>
<mo>*</mo>
</msup>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
</mrow>
</mtd>
</mtr>
</mtable>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>15</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein：R、LTAnd L " is respectively resistance value of the THE UPFC UPFC parallel connections busbar to synchronous generator, transformer
The subsynchronous reactance value of leakage reactance and synchronous generator, upper table * represent the reference value of respective amount, Kp、KiIt is fractional order PI with λλControl
The real number exponent number of the proportionality constant of device processed, integral constant and integrator.
5. a kind of according to claim 1 be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that：
THE UPFC UPFC selects the three-phase transverter of 48 pulses.
6. a kind of according to claim 4 be based on fractional order PIλUPFC suppress sub-synchronous oscillation method, it is characterised in that：
Sublevel number PIλThe parameter tuning of controller by magnitude margin method, phase margin method, dominant pole method, optimum control rule method,
Block-scheme method, genetic algorithm or limit search method.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110401207A (en) * | 2019-07-26 | 2019-11-01 | 南京工程学院 | A kind of electric car micro-capacitance sensor charge and discharge frequency modulation method based on fractional calculus |
| CN110808610A (en) * | 2019-11-11 | 2020-02-18 | 广西大学 | Doubly-fed wind turbine optimization method based on proportional-integral-derivative control idea |
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| US20140185342A1 (en) * | 2011-08-03 | 2014-07-03 | Diehl Aerospace Gmbh | Electrical supply apparatus with current waveform signal and method for operating the electrical supply apparatus |
| CN105281324A (en) * | 2015-10-10 | 2016-01-27 | 江苏省电力公司电力经济技术研究院 | Subsynchronous oscillation assessment method of electric power system |
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| US20140185342A1 (en) * | 2011-08-03 | 2014-07-03 | Diehl Aerospace Gmbh | Electrical supply apparatus with current waveform signal and method for operating the electrical supply apparatus |
| CN105281324A (en) * | 2015-10-10 | 2016-01-27 | 江苏省电力公司电力经济技术研究院 | Subsynchronous oscillation assessment method of electric power system |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110401207A (en) * | 2019-07-26 | 2019-11-01 | 南京工程学院 | A kind of electric car micro-capacitance sensor charge and discharge frequency modulation method based on fractional calculus |
| CN110401207B (en) * | 2019-07-26 | 2022-12-16 | 南京工程学院 | Electric vehicle micro-grid charging and discharging frequency modulation method based on fractional calculus |
| CN110808610A (en) * | 2019-11-11 | 2020-02-18 | 广西大学 | Doubly-fed wind turbine optimization method based on proportional-integral-derivative control idea |
| CN110808610B (en) * | 2019-11-11 | 2022-04-01 | 广西大学 | Doubly-fed wind turbine optimization method based on proportional-integral-derivative control idea |
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