CN107196321A - A kind of method for improving electric power spring steady-state operation scope - Google Patents
A kind of method for improving electric power spring steady-state operation scope Download PDFInfo
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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
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
- H02J3/14—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by switching loads on to, or off from, network, e.g. progressively balanced loading
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
- Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
- Y02B70/30—Systems integrating technologies related to power network operation and communication or information technologies for improving the carbon footprint of the management of residential or tertiary loads, i.e. smart grids as climate change mitigation technology in the buildings sector, including also the last stages of power distribution and the control, monitoring or operating management systems at local level
- Y02B70/3225—Demand response systems, e.g. load shedding, peak shaving
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S20/00—Management or operation of end-user stationary applications or the last stages of power distribution; Controlling, monitoring or operating thereof
- Y04S20/20—End-user application control systems
- Y04S20/222—Demand response systems, e.g. load shedding, peak shaving
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Abstract
The invention discloses a kind of method for improving electric power spring steady-state operation scope, including：Stable state voltage on line side is obtained with electrical parameter calculation using the corresponding power system network topology of electric power spring and represent phasor, and draw its phasortrajectory curve；According to stable state voltage on line side phasortrajectory, electric power spring steady-state operation track and scope are obtained by geometric method analysis；According to stable state voltage on line side phasortrajectory, with reference to geometric method obtain voltage on line side it is out-of-limit in the case of system optimal control track；The out-of-limit phasortrajectory with generation in the case of out-of-limit, electric power spring steady-state operation scope and corresponding electric power spring critical loads voltage setting value optimized calculation method after being expanded do not occur for comprehensive voltage on line side.The present invention be prevented effectively from voltage on line side occur it is out-of-limit in the case of electric power spring Its Failures, improve the steady-state operation scope of electric power spring, hence it is evident that improve the performance of electric power spring system safe and stable operation.
Description
Technical field
The invention belongs to intelligent grid control technology field, it is related to a kind of side for improving electric power spring steady-state operation scope
Method.
Background technology
It is a large amount of grid-connected with regenerative resource such as wind energy, solar energy etc., renewable energy power generation it is intermittent, unstable
Property, the features such as precision of prediction is not high, the generated energy and the imbalance problem of workload demand caused becomes increasingly conspicuous, and influences power system
Operation safety and power quality.
Industry is obtained by dsm solution grid-connected a series of problems brought of regenerative resource to be widely recognized as, but
Common Demand-side technology generally requires terminal user's participation, or to sacrifice Consumer's Experience as cost, based on energy storage technology then
Face high Cost Problems.For above-mentioned present situation, Hong Kong University proposes " electric power spring " conception based on Power Electronic Technique, will
The concept of mechanical spring is introduced into power system.Electric power spring is made up of an input voltage control with a power controller,
Voltage in power network (energy) fluctuation is transferred to by non-critical loads, stable critical loads voltage by electric power spring, and adjusted automatically
Non-critical loads power consumption is saved, the autobalance of generated energy and power consumption is realized.Electric power spring changes conventional electric power system hair
Electricity follows the method for operation that load changes, and realizes the new method of operation of Demand-side power follower generated energy change, can be with
Effectively overcome the generated energy that renewable energy source power is caused and load mismatch problem.Research shows that electric power spring is used
In new micro-capacitance sensor, demand of the system to stored energy capacitance can also be reduced, it is cost-effective；System three-phase can be reduced uneven
Weighing apparatus；The power quality of power system can be improved.
Compared with other existing raising micro-capacitance sensor quality of power supply methods, electric power spring is connected with non-critical loads, is constituted
Intelligent load has stronger load responding ability, distributed energy fluctuation can be transferred into non-critical loads, can also participate in frequency
Rate is adjusted.And other micro-capacitance sensor voltage methods of adjustment are then typically directly connected with critical loads, such as SSSC, DVR, or directly with pass
Key load is in parallel, and such as STATCOM, in some cases, the regulated efficiency of electric power spring are higher than common reactive power compensator.
However, as mechanical spring, electric power spring is also operated in a limited scope, and its range of operation is by direct current
The limitation of the factor such as side voltage, critical loads and non-critical loads operating voltage range, network element parameter.When voltage on line side ripple
When dynamic excessive, electric power spring will be unable to complete control targe, occur failure.
The content of the invention
It is an object of the invention to overcome above-mentioned the deficiencies in the prior art, there is provided one kind raising electric power spring steady-state operation model
The method enclosed, to improve the runnability of electric power spring, it is ensured that occur also stablize work in the case of larger fluctuation in voltage on line side
Make.
The technical solution of the present invention is as follows：
A kind of method for improving electric power spring steady-state operation scope, this method comprises the following steps：
Step 1, according to Kirchhoff's law, with reference to the corresponding power system network topology of electric power spring and electric parameter,
Network phasor equation group is obtained, formula is as follows：
Wherein,WithFor stable state voltage on line side and electric current,WithFor critical loads voltage and current,WithFor
Non-critical loads voltage and current,For electric power spring output end voltage, Z1、Z2、Z3Respectively net side transmission line impedance, close
Key load impedance and non-critical loads impedance；
Stable state voltage on line side phasor is calculated, formula is as follows；
Wherein：θ is non-critical loads electric currentWith key
Load voltagePhase difference, | Us | it is critical loads voltage magnitude,For line impedance angle,For non-critical loads impedance angle；
Step 2, phasortrajectory curve is drawn according to stable state voltage on line side phasor, and electric power bullet is obtained by geometric method analysis
Spring steady-state operation track and scope：
Electric power spring system non-critical loads electric currentWith critical loads voltagePhase difference is θ.The optimization principles of consideration
It is that small θ is preferential.When θ takes higher value, the voltage magnitude of electric power spring will be very big, and now the voltage of non-critical loads becomes
Very little, will so cause non-critical loads can not safe operation, therefore, in order to as far as possible ensure non-critical loads operation need
Ask, cast out the corresponding point of safes of larger θ, and take the smaller corresponding point of safes of θ values as system point of safes.It can be led to based on this
Cross geometric method and obtain electric power spring system steady operation track and operation voltage on line side fluctuation range.
If ω L in line impedance1＞ ＞ R1, then line impedance angle
One is drawn containing an imaginary pointCircular test；
Think O origins, OA is critical loads reference voltage, correspondence phasorOB correspondence phasorsM is the circle of locus circle
The heart, connects OM and extends, hand over Circular test and 2 points of C, E, connects BM and extends friendship Circular test and D points, crosses point B, point D and make OM respectively
Vertical line hand over Circular test and b points and d points；Using origin O as the center of circle, voltage on line side amplitude UGMake to justify for radius, then justify O and circle M's
Intersection point is electric power spring system stable operating point；
According to the drop point region of stable operating point, it is divided into three kinds of situations：
(1) as | OC |<UG<| OB |, then drop point is on arc BCb, i.e. capacitive mode of operation area, and be symmetrically distributed in C points two
Side；
(2) as | OD |<UG<| OE |, then drop point is on arc dED, i.e., perceptual mode of operation area；
(3) as | OB |<UG<| OD |, then drop point is respectively fallen on arc bD and arc Bd；
Step 3, according to stable state voltage on line side phasortrajectory, with reference to geometric method obtain voltage on line side it is out-of-limit in the case of system most
Excellent control track：
Phasor is represented according to the voltage on line side obtained by step 1, it can be determined that in critical loads voltage change, net side
Voltage trace makees linear extendible conversion by reference of the phasor origin of coordinates, so as to obtain electric power after critical loads voltage change
Spring steady operation track and corresponding operation voltage on line side fluctuation range.
Minimum optimization aim is fluctuated with Vital Voltage, in the case of Vital Voltage can be fluctuated, optimal net side electricity is analyzed
Track is pressed, optimized mathematical model is set up as follows：
Wherein, N1% is critical loads voltage pulsation limit value, minUG、maxUGRespectively containing the net side electricity in the case of out-of-limit
Press bound, VSFor critical loads voltage reference value；
U is analyzed firstGMeet minUG<UG<| OE | situation：
1) as | OC |<UG<| OE | when, US=VS, formula (3) meets optimal, UGTrack is arc CDE.
2) minU is worked asG<UG<| OC | when, US<VS, now work as UGTrack is in line segment CC1When upper, formula (3) meets optimal；
Then U is analyzedGMeet minUG<UG<| OC | situation：
It is U by the corresponding Vital Voltage of arc track of c pointsSX, as phasor UGWhen taking point c, formula (3) meets optimal, this
When min | US(UG)-VS|=| USX-VS|, UGTrack is line segment CC1；When | OE |<UG<maxUGWhen, UGTrack is line segment EE2；
Step 4, comprehensive voltage on line side do not occur it is out-of-limit and out-of-limit in the case of phasortrajectory, the electric power bullet after being expanded
Spring steady operation track and range of operation, obtain closing with the one-to-one electric power spring of voltage on line side containing out-of-limit situation based on this
Key load voltage setting value, formula is as follows：
Wherein, VrefCritical loads reference voltage amplitude after being corrected for optimization, | UG| it is voltage on line side amplitude, | OC | for electricity
Power spring stable state voltage on line side lower range limit, | OE | it is electric power spring stable state voltage on line side range higher limit, Vs_refFor key
Load voltage standard reference value.
Compared with prior art, technique effect of the invention is as follows:
1) the problem of when voltage on line side fluctuation is excessive failure occurs for electric power spring system is can solve the problem that, improves electric power spring
Runnability, it is ensured that voltage on line side occur larger fluctuation in the case of also can steady operation.
2) using phasor diagram combination method of geometry analyze electric power spring steady operation footprint and it is out-of-limit in the case of
Optimal working trajectory, accurately provide the range of operation of electric power spring, expanded electric power spring range of operation, reduced analysis meter
The complexity of calculation.
Brief description of the drawings
Fig. 1 be in the prior art electric power spring system circuit and control topological diagram.
Fig. 2 is electric power spring steady-state operation voltage on line side surface analysis schematic diagram in the present invention.Electric power spring system in figure
Working trajectory is arc CDE, and wherein arc CbD is capacitive mode of operation area, and arc DE is perceptual mode of operation area, such as scheme it is blue with it is orange
Shown in region.
Fig. 3 is to contain out-of-limit situation electric power spring steady-state operation voltage on line side surface analysis schematic diagram in the present invention.Work as key
Load voltage allows in (1 ± N1%) VSIn the range of when fluctuating, voltage on line side UGTrack is C1C+ arcs CDE+EE2.Especially, closing
When minor shifts occur for key load voltage, the phase angle difference of voltage on line side and optimal critical loads voltage is definite value.
Fig. 4 is when voltage on line side corresponds to electric power spring system simulation waveform when different voltage levels are fluctuated.
In figure：
1.1 be the single-phase power network containing generation of electricity by new energy, and 1.2 be power transmission line equivalent resistance, and 1.3 be power transmission line equivalent inductance,
1.4 be critical loads, and 1.5 be electric power spring filter inductance, and 1.6 be electric power spring filter capacitor, and 1.7 be non-critical loads, 1.8
It is inverter direct-flow side Support Capacitor for single-phase electricity potential source type inverter, 1.9,1.10 and 1.11 be voltage measurement module, 1.12
It is that voltage on line side measures virtual value for measurement virtual value computing module, 1.13,1.14 be critical loads voltage reference value, and 1.15 are
Phase measurement module (phaselocked loop), 1.16 be network parameter input module, and 1.17 be reference voltage computing module after optimization correction,
1.18 be electric power spring DC side reference voltage, and 1.19 be electric power spring DC voltage measured value, and 1.20,1.29 and 1.30 are
Subtracter, 1.21,1.31 and 1.32 be PI controllers, and 1.22 be optimization for critical loads fixed phase after optimization correction, 1.23
Critical loads reference voltage amplitude after correction, 1.24 be adder, and 1.25 be voltage synthesis module, and 1.26 be critical loads voltage
Measured value, 1.27 and 1.28 be single-phase DQ conversion modules, and 1.33 be single-phase DQ inverse transform blocks, and 1.34 be that pwm control signal is sent out
Raw device.
Embodiment
For ease of understanding, the present invention is illustrated below in conjunction with accompanying drawing, but the protection of the present invention should not be limited with this
Scope.
Fig. 1 be in the prior art electric power spring system circuit and control topological diagram, as illustrated, right side dotted line frame in by electricity
Potential source type inverter and LC wave filter groups into circuit be electric power spring, electric power spring and non-critical loads series connection collectively forms one
Individual intelligent load, then access operation of power networks in parallel with critical loads；Lower dotted line inframe is electric power spring control block diagram.Wherein
UGFor grid side voltage, R1、L1For transmission line of electricity impedance, Z2For critical loads, Z3For non-critical loads.Typically by voltage sensitivity
Load is considered as critical loads, passes through the stable critical loads voltage of electric power spring, it is ensured that its supply voltage quality, and by voltage-sensitive
The relatively low load of property is considered as non-critical loads, such as heating or cooling device, such as insulating pot, refrigerator, in control process, by electricity
Net voltage (or energy) fluctuation is transferred in non-critical loads.
Electric power spring governor is mainly comprising an exchange PI link and a direct current PI link, and exchange PI links ensure to close
Key load voltage track reference voltage, so as to maintain its voltage stabilization to realize control targe, it is contemplated that PI links can not directly with
Track of ac, need to first carry out DQ conversion, under rotating coordinate system, be decomposed into DC component and then be tracked control；Direct current PI
Link then maintains DC support capacitance voltage stable, so as to ensure that electric power spring carries out energy stream with being stabilized with distribution network
It is dynamic.Electric power spring terminal voltage UesWith non-critical loads electric current I3Phase angle difference be ± 90 °, its symbol by electric power spring mode of operation
It is determined that.In addition in order to maintain DC capacitor voltage stable, electric power spring can absorb a small amount of active power, and switching loss also can
Part active power loss is caused, these factors finally also can cause less deviation to the voltage phase angle of electric power spring.
Step 1, according to Kirchhoff's law, with reference to electric power spring system network topology and electric parameter, network phase is obtained
Equation group is measured, stable state voltage on line side is then calculated and represents phasor, and draw its phasortrajectory curve.
Electric power spring system network topology obtains network equation group in Fig. 1：
Wherein,WithFor the grid side voltage and current containing generation of electricity by new energy,WithFor critical loads voltage and electricity
Stream,WithFor non-critical loads voltage and current,For electric power spring output end voltage, Z1、Z2、Z3Respectively net side is transmitted
Line impedance, critical loads impedance and non-critical loads impedance.
It is complex impedance and phasor to have net side transmission line impedance, critical loads impedance and non-critical loads impedance transformation again
Form is obtained：
Wherein, the π of ω=2 f, f are voltage fundamental frequency, Ri、Li、|Zi|、Respectively impedance ZiReactance value, inductance value,
Impedance value and impedance angle, i=1,2,3.
It can thus be concluded that voltage on line side phasor representation：
Wherein：θ non-critical loads electric currentsIt is negative with key
Carry voltagePhase difference, | Us | it is critical loads voltage magnitude.Assuming that ω L in line impedance1＞ ＞ R1, then line impedance angleSo as to obtain one containing an imaginary pointCircular trace, as shown in Figure 2.
Step 2, its track is drawn according to stable state voltage on line side phasor, obtaining electric power spring stable state by geometric method analysis transports
Row track and scope.
When θ takes higher value, the voltage magnitude of electric power spring will be very big, and now the voltage of non-critical loads becomes very
It is small, will so cause non-critical loads can not safe operation, therefore, in order to ensure the operation demands of non-critical loads as far as possible,
Cast out the corresponding point of safes of larger θ, and take the smaller corresponding point of safes of θ values as system point of safes.
Mapped by formula (3), such as Fig. 2, origin is O, OA is critical loads reference voltage, correspondence phasorOB correspondence phases
AmountM is the center of circle of locus circle.Connection OM simultaneously extends, and hands over Circular test and 2 points of C, E, connects BM and extends friendship Circular test and D
Point, crosses vertical line friendship Circular test and b points and d points that point B, point D make OM respectively.Using origin O as the center of circle, voltage on line side amplitude UGFor half
Footpath is made to justify, then the intersection point for justifying O and circle M is electric power spring system stable operating point.
According to the drop point region of point of safes, it is divided into three kinds of situations：⑴|OC|<UG<| OB |, now drop point on arc BCb,
That is capacitive mode of operation area, and be symmetrically distributed in C points both sides, according to the small priority principles of θ, the point on arc BC is not met；⑵|OD
|<UG<| OE |, now drop point is on arc dED, i.e., perceptual mode of operation area, according to the small priority principles of θ, and the point on arc dE is not
Meet；⑶|OB|<UG<| OD |, now drop point is respectively fallen on arc bD and arc Bd, according to the small priority principles of θ, and the point on arc Bd is equal
Do not meet.
In summary：Electric power spring system working trajectory is arc CDE, and wherein arc CbD is capacitive mode of operation area, and arc DE is
Perceptual mode of operation area, as shown in Fig. 2 dotted lines region.
In pigmented section track, voltage on line side amplitude UGCorresponded with θ, i.e., for any electricity in the range of steady-state operation
Pressure value, corresponding non-critical loads voltage is present and unique, the point of safes of system existence anduniquess.Net corresponding to arc CDE
Side voltage range is the steady-state operation scope of electric power spring, and is worked as | OC |≤UG<| OD | when, electric power spring works are in capacitive mould
Formula, when | OD |<UG≤ | OE | when, electric power spring works are in perceptual model.
Step 3, according to stable state voltage on line side phasortrajectory, with reference to geometric method obtain voltage on line side it is out-of-limit in the case of system most
Excellent control track.
Consider that critical loads voltage can be with fluctuation within a narrow range situation, it is N that might as well assume that it fluctuates limit value1%.As in step 2
(1-N is equal to critical loads voltage respectively1%) * VS、VS、(1+N1%) * VSMapping, correspondence OA1、OA、OA2, obtaining the center of circle is
M1、M、M2Three Circular tests, make origin and the line in the center of circle and extension obtain intersection point C1And E1, C and E, C2And E2.With step 2
Analysis obtains corresponding steady-state operation track, as shown in Figure 3.
As shown in figure 3, it is U wherein to justify BCESEqual to standard value VSWhen voltage on line side locus circle, circle B1C1E1For USIt is equal to
US1When voltage on line side locus circle, US1<VS.Voltage on line side represents phasor, △ MCB ∽ △ M in step 21C1B1, that is, work as
During critical loads voltage change, voltage on line side locus circle respective change, but the center of circle is all the time on ray OE.When under load voltage
During drop, boundary point C is moved along straight line MO to O points, can similarly be analyzed and be obtained, and when load voltage rises, boundary point E is along straight line OM
It is mobile on the outside of to M.
To ensure standard value of the critical loads voltage close proximity to control, minimum optimization aim is fluctuated with Vital Voltage,
In the case of Vital Voltage can be fluctuated, optimal voltage on line side track is analyzed, optimized mathematical model is set up as follows：
Wherein, minUG、maxUGRespectively containing the voltage on line side bound in the case of out-of-limit, VsJoin for critical loads voltage
Examine value.
Analyze first, work as UGMeet minUG<UG<| OE | situation.
1) as | OC |<UG<| OE | when, US=VS, formula (3) meets optimal, now it can be seen from previous analysis, UGTrack is
Arc CDE.
2) minU is worked asG<UG<| OC | when, US<VS, now work as UGTrack is in line segment CC1When upper, formula (3) meets optimal.
Work as minUG<UG<| OC | when, using O as the center of circle, UGArc is drawn for radius, circle C is handed over1B1E1In p points, intersection section C1C is in c
Point.It is U by the corresponding Vital Voltage of arc track of c pointsSX, by | OC1|<| Oc | obtain, as phasor UGWhen taking point c, formula (3)
Meet optimal, now min | US(UG)-VS|=| USX-VS|.Work as minUG<UG<| OC | when, U can be obtainedGTrack is line segment CC1。
Can similarly analyze and be worked as | OE |<UG<maxUGWhen, UGTrack is line segment EE2。
Step 4, comprehensive voltage on line side do not occur it is out-of-limit and out-of-limit in the case of phasortrajectory, the electric power bullet after being expanded
Spring steady operation track and range of operation, obtain closing with the one-to-one electric power spring of voltage on line side containing out-of-limit situation based on this
Key load voltage setting value.
It can be obtained by step 2,3 analyses, when critical loads voltage allows in (1 ± N1%) VSIn the range of when fluctuating, voltage on line side
UGTrack is C1C+ arcs CDE+EE2, as shown in Fig. 3 dotted lines region.Especially, when critical loads voltage shifts, net side
The phase angle difference of voltage and critical loads voltage is definite value.Critical loads voltage magnitude setting value can be provided based on analysis above excellent
Change computational methods, as shown in formula (5).
Wherein, VrefCritical loads reference voltage amplitude after being corrected for optimization, | UG| it is voltage on line side amplitude, | OC | for electricity
Power spring stable state voltage on line side lower range limit, | OE | it is electric power spring stable state voltage on line side range higher limit, Vs_refFor key
Load voltage standard reference value.
For convenience of analyzing, in the present embodiment emulation, single phase poaer supply type DC side voltage of converter reference value is 400V；LC is low
The total filter inductance of bandpass filter, filter capacitor are respectively 0.5mH and 13.2uF；Critical loads Z2Choose the Ω of pure resistance 53, non-pass
Key loads Z3The Ω of pure resistance 50 is chosen, power transmission line and line loss are equivalent with 0.81 Ω and 16.6mH tandem compound, power network electricity
Pressure reference value is 220V/50Hz；The switching frequency of single-phase electricity potential source type inverter is 20kHz.
Fig. 4 is when voltage on line side corresponds to electric power spring system simulation waveform when different voltage levels are fluctuated.Emulation is real
In testing, devising 7 voltage class is respectively：1. 210V, 2. 215.96V, 3. 226V, 4. 231.26V, 5. 235V, 6.
239.17V, 7. 5. 4. 242V, be 3. operating mode validation wherein 2. 6. being verified for border, be 7. 1. more bound situation ShiShimonoseki
Key load voltage setting value optimized calculation method is verified.From simulation result as can be seen that in 2. 6. corresponding border voltage on line side
Under, system can make critical loads voltage reach normal voltage 220V by the regulation of electric power spring, 1. 2. be 3. under voltage class
After system is stable, 90 ° of the advanced electric power spring terminal voltage of non-critical loads electric current, electric power spring works are 5. 6. 7. electric in capacitive mode
Press under grade, after system is stable, 90 ° of electric power spring terminal voltage after non-critical loads current hysteresis, electric power spring works are in perceptual mould
Formula, 4. under voltage class, after system is stable, electric power spring output voltage is zero, and electric power spring works are in resistive pattern.1. it is 7. electric
Press under grade, voltage on line side correspondence more lower limit and more two kinds of situations of the upper limit, system operation observed result is shown, is got in voltage on line side
In the case of limit, system can stable operation, electric power spring continue normal work, but critical loads voltage there occurs it is small partially
Move.
The method of the raising electric power spring steady-state operation scope proposed in the present invention is applied to critical loads Voltage Reference
It is worth and optimizes association area to track the electric power spring control method of target.
The foregoing is only one embodiment of the present invention, protection scope of the present invention not using above-mentioned embodiment as
Limit, as long as equivalent modification that those of ordinary skill in the art are made according to disclosed content or change, should all include power
In protection domain described in sharp claim.
Claims (2)
1. a kind of method for improving electric power spring steady-state operation scope, it is characterised in that this method comprises the following steps：
Step 1, according to Kirchhoff's law, with reference to the corresponding power system network topology of electric power spring and electric parameter, obtain
Network phasor equation group, formula is as follows：
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Wherein,WithFor stable state voltage on line side and electric current,WithFor critical loads voltage and current,WithClosed to be non-
Key load voltage and electric current,For electric power spring output end voltage, Z1、Z2、Z3Respectively net side transmission line impedance, key are negative
Carry impedance and non-critical loads impedance；
Stable state voltage on line side phasor is calculated, formula is as follows：
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Wherein：θ is non-critical loads electric currentWith critical loads
VoltagePhase difference, | Us | it is critical loads voltage magnitude,For line impedance angle,For non-critical loads impedance angle；
Step 2, phasortrajectory curve is drawn according to stable state voltage on line side phasor, and it is steady by geometric method analysis to obtain electric power spring
State running orbit and scope：
If ω L in line impedance1＞ ＞ R1, then line impedance angle
One is drawn containing an imaginary pointCircular test；
Think O origins, OA is critical loads reference voltage, correspondence phasorOB correspondence phasorsM is the center of circle of locus circle,
Connection OM simultaneously extends, and hands over Circular test and 2 points of C, E, connects BM and extends friendship Circular test and D points, crosses point B, point D and make OM's respectively
Vertical line hands over Circular test and b points and d points；Using origin O as the center of circle, voltage on line side amplitude UGMake to justify for radius, then justify O and circle M friendship
Point is electric power spring system stable operating point；
According to the drop point region of stable operating point, it is divided into three kinds of situations：
(1) as | OC |<UG<| OB |, then drop point is on arc BCb, i.e. capacitive mode of operation area, and be symmetrically distributed in C points both sides；
(2) as | OD |<UG<| OE |, then drop point is on arc dED, i.e., perceptual mode of operation area；
(3) as | OB |<UG<| OD |, then drop point is respectively fallen on arc bD and arc Bd；
Step 3, according to stable state voltage on line side phasortrajectory, with reference to geometric method obtain voltage on line side it is out-of-limit in the case of system optimal control
Track processed：
Minimum optimization aim is fluctuated with Vital Voltage, in the case of Vital Voltage can be fluctuated, optimal voltage on line side rail is analyzed
Mark, sets up optimized mathematical model as follows：
min|US(UG)-VS|
s.t.
(1-N1%) VS≤US≤(1+N1%) VS
minUG≤UG≤maxUG (4)
Wherein, N1% is critical loads voltage pulsation limit value, minUG、maxUGRespectively containing on the voltage on line side in the case of out-of-limit
Lower limit, VSFor critical loads voltage reference value；
Using geometric method solving-optimizing problem, obtain voltage on line side it is out-of-limit in the case of system optimal steady operation track；
Step 4, comprehensive voltage on line side do not occur it is out-of-limit and out-of-limit in the case of phasortrajectory, the electric power spring after being expanded is steady
State working trajectory and range of operation, obtain negative with the one-to-one electric power spring key of voltage on line side containing out-of-limit situation based on this
Voltage setting value is carried, formula is as follows：
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Wherein, VrefCritical loads reference voltage amplitude after being corrected for optimization, | UG| it is voltage on line side amplitude, | OC | it is electric power spring
Stable state voltage on line side lower range limit, | OE | it is electric power spring stable state voltage on line side range higher limit, Vs_refFor critical loads electricity
Press standard reference value.
2. the method according to claim 1 for improving electric power spring steady-state operation scope, it is characterised in that the step 3
Middle use geometric method solving-optimizing problem, obtain voltage on line side it is out-of-limit in the case of system optimal steady operation track, it is specific as follows：
U is analyzed firstGMeet minUG<UG<| OE | situation：
1) as | OC |<UG<| OE | when, US=VS, formula (3) meets optimal, UGTrack is arc CDE.
2) minU is worked asG<UG<| OC | when, US<VS, now work as UGTrack is in line segment CC1When upper, formula (3) meets optimal；
Then U is analyzedGMeet minUG<UG<| OC | situation：
It is U by the corresponding Vital Voltage of arc track of c pointsSX, as phasor UGWhen taking point c, formula (3) meets optimal, now min
|US(UG)-VS|=| USX-VS|, UGTrack is line segment CC1；When | OE |<UG<maxUGWhen, UGTrack is line segment EE2。
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| CN108599191A (en) * | 2018-03-06 | 2018-09-28 | 东南大学 | A kind of electric power spring power decoupling control method of belt current inner ring |
| CN108776438A (en) * | 2018-05-04 | 2018-11-09 | 上海交通大学 | The micro-grid system hardware-in-the-loop simulation platform of the spring containing electric power |
| CN113013899A (en) * | 2021-03-22 | 2021-06-22 | 华南理工大学 | Fractional order electric spring control method with real-time adjustable order |
| CN113872242A (en) * | 2021-10-26 | 2021-12-31 | 华北电力科学研究院有限责任公司 | Active power distribution network energy optimization method and device adopting power spring |
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Cited By (4)
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| CN108599191A (en) * | 2018-03-06 | 2018-09-28 | 东南大学 | A kind of electric power spring power decoupling control method of belt current inner ring |
| CN108776438A (en) * | 2018-05-04 | 2018-11-09 | 上海交通大学 | The micro-grid system hardware-in-the-loop simulation platform of the spring containing electric power |
| CN113013899A (en) * | 2021-03-22 | 2021-06-22 | 华南理工大学 | Fractional order electric spring control method with real-time adjustable order |
| CN113872242A (en) * | 2021-10-26 | 2021-12-31 | 华北电力科学研究院有限责任公司 | Active power distribution network energy optimization method and device adopting power spring |
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