CN109861219A - It is a kind of obtain regional power grid by electric energy power method and system - Google Patents
It is a kind of obtain regional power grid by electric energy power method and system Download PDFInfo
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Abstract
The invention discloses a kind of acquisition regional power grids by the method and system of electric energy power, belongs to technical field of power systems.The method of the present invention comprise determining that regional power grid system most serious failure and most weak route: under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer, the most ratio of the power of line of weakness road and the route maximum power;Determining that regional power grid most receives electric energy power greatly is initially by entering m times of power;1.1 adjustment region network system trends;1.2 determine most serious failure and most weak route;1.3 pairs of failures carry out time-domain-simulations, check regional power grid system whether unstability;1.4 acquisition district systems most receive electric energy power greatly.The present invention provides under different conditions the ratio of caused power flow transfer value and route maximum transmission power on All other routes after a certain line fault of district system transmission cross-section, and obtain the route fragility factor, according to the route fragility factor size can determine system most serious failure and most weak route.
Description
Technical field
The present invention relates to electric system, and more particularly, to it is a kind of acquisition regional power grid by electric energy power method and
System.
Background technique
For some regional power grid, obtaining ability to transmit electricity, there are two difficulties: first is that needing to judge by emulating serious
Failure and weak link, second is that need by continuously adjusting trend, enlarged region power grid by electric scale, be adjusted to it is a certain by
Fault simulation is carried out after electric scale, it is final determine regional power grid by electric energy power.These require biggish calculation amount, main
Calculation amount is: one, finding catastrophe failure and weak link;Two, trend is adjusted, is mainly due to, one, defeated about region
The catastrophe failure of section and weak link is sent to lack specific guidance;Two, lacked approximate range by electric scale about system
Guidance.
Summary of the invention
In view of the above-mentioned problems, the invention proposes a kind of acquisition regional power grids by the method for electric energy power, comprising:
Regional power grid system is obtained initially by entering power and by the threshold value of electric energy power deviation, determine regional power grid system most
Catastrophe failure and most weak route:
Under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer, most line of weakness road
Power and the route maximum power ratio;
When acquisition regional power grid system failure route maximum operation power angle is pi/2, determine what transmission cross-section needed to amplify
Power multiple m, determining that regional power grid most receives electric energy power greatly is initially to be determined amplification factor critical coefficient k by entering m times of powermax
And kmin, wherein kmax=m+1 and kmin=0;
1.1 adjustment region network system trends determine that regional power grid power amplification is (kmax+kmin)/2 times;
1.2 obtain the fragile factor matrix under faulty line, determine the fragile factor of maximum in fragility factor matrix, determine
Most serious failure and most weak route;
1.3 pairs of failures carry out time-domain-simulations, check regional power grid system whether unstability, when regional power grid system is stablized,
Take kmin=(kmin+kmax)/2 take k when regional power grid system is unstablemax=(kmin+kmax)/2;
1.4 acquisition district systems most receive electric energy power greatly, judge (kmax-kmin) with initially by enter power product it is whether small
Terminated by the threshold value of electric energy power deviation if being less than or equal in being equal to, otherwise, into 1.1.
Optionally, determine regional power grid system most serious failure and most weak route, comprising: be based on initial trend, obtain
The fragile factor matrix under each line fault is taken, the fragile factor of maximum in fragility factor matrix is determined, screens maximum fragile
The corresponding row and column of the factor determines that the row and column of the fragile factor of the maximum is respectively the corresponding most serious event of the maximum fragile factor
Barrier and most weak route.
Optionally, multiple m is greater than 0.
The present invention also provides a kind of acquisition regional power grids by the system of electric energy power, and system includes:
The first information obtains module, obtains regional power grid system initially by power is entered and by the threshold value of electric energy power deviation, really
Determine regional power grid system most serious failure and most weak route:
Computing module, under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer, most
The ratio of the power of line of weakness road and the route maximum power;
Second data obtaining module determines defeated when acquisition regional power grid system failure route maximum operation power angle is pi/2
Electric section needs the power multiple m amplified, and determining that regional power grid most receives electric energy power greatly is initially to be determined and put by entering m times of power
Big multiple critical coefficient kmaxAnd kmin, wherein kmax=m+1 and kmin=0;
Module is adjusted, adjustment region network system trend determines that regional power grid power amplification is (kmax+kmin)/2 times;
Third data obtaining module obtains the fragile factor matrix under faulty line, determines in fragility factor matrix most
The big fragility factor, determines most serious failure and most weak route;
Emulation module, to failure carry out time-domain-simulation, check regional power grid system whether unstability, when regional power grid system is steady
Periodically, k is takenmin=(kmin+kmax)/2 take k when regional power grid system is unstablemax=(kmin+kmax)/2;
Judgment module judges (kmax-kmin) and initially whether be less than or equal to by the product for entering power by electric energy power deviation
Threshold value.
Optionally, determine regional power grid system most serious failure and most weak route, comprising: be based on initial trend, obtain
The fragile factor matrix under each line fault is taken, the fragile factor of maximum in fragility factor matrix is determined, screens maximum fragile
The corresponding row and column of the factor determines that the row and column of the fragile factor of the maximum is respectively the corresponding most serious event of the maximum fragile factor
Barrier and most weak route.
Optionally, multiple m is greater than 0.
The present invention provides caused on All other routes after a certain line fault of district system transmission cross-section under different conditions
The ratio of power flow transfer value and route maximum transmission power, and the route fragility factor is obtained, the size according to the route fragility factor
Can determine system most serious failure and most weak route.There is the hypothesis of identical amplification factor in transmission line of electricity transmission power
Under, it obtains district system and most receives electric energy power estimated value greatly.Later by adjusting trend and dichotomy, in conjunction with time-domain simulation results and
The route fragility factor recalculates value, and the final reality for determining system most receives electric energy power greatly.
Detailed description of the invention
Fig. 1 be the present invention it is a kind of obtain regional power grid by electric energy power method regional power grid with the external world grid contact it is multi-thread
Two area schematics of road parallel connection
Fig. 2 is a kind of regional power grid that obtains of the present invention by the method one machine infinity bus system schematic diagram of electric energy power
Fig. 3 is a kind of regional power grid that obtains of the present invention by the power graph of the method one machine infinity bus system of electric energy power
Fig. 4 is a kind of acquisition regional power grid of the present invention by P in the method machine Infinite bus system of electric energy powermWith δ0、δcRelationship
Curve graph
Fig. 5 is a kind of acquisition regional power grid of the present invention by δ in the method one machine infinity bus system of electric energy power0With δcBetween
Graph of relation
Fig. 6 is a kind of acquisition regional power grid of the present invention by sin (δ in the method one machine infinity bus system of electric energy power0) and δcIt
Between graph of relation
Fig. 7 is a kind of acquisition regional power grid of the present invention by δ in the method one machine infinity bus system of electric energy power0With δcMeet reality
The graph of relation of border part
Fig. 8 is a kind of acquisition regional power grid of the present invention by sin (δ in the method one machine infinity bus system of electric energy power0) and δcIt
Between meet the graph of relation of substantial portion
Fig. 9 is a kind of acquisition regional power grid of the present invention by δ in the method one machine infinity bus system of electric energy power0With δc-δ0Between
Graph of relation
Figure 10 is a kind of acquisition regional power grid of the present invention by sin (δ in the method one machine infinity bus system of electric energy power0) and δc-
δ0Between graph of relation
Figure 11 is a kind of regional power grid that obtains of the present invention by the method flow diagram of electric energy power;
Figure 12 is a kind of regional power grid that obtains of the present invention by the system construction drawing of electric energy power.
Specific embodiment
Regional power grid system one machine infinity bus system of the present invention is as shown in Figure 2:
Wherein
A=Pm(δc-δ0)
When a=b, the boundary condition of power is run for critical clearing angle and the limit, at this point,
Have
Then have
It can be drawn by above-mentioned formula and work as U1、U2, X P when being 1mWith δ0、δcBetween relationship, as shown in Figure 3;
It is available, work as δ0、δcIt is closeWhen PmReach maximum value.
At operating point, haveTherefore,
Have
I.e.
cosδ0+cosδc=(π -2 δ0)sinδ0
δ0With δcBetween relationship it is as shown in Figure 4;
sin(δ0) and δcBetween relationship it is as shown in Figure 5;
Due to δ0It is necessarily less than δc, therefore in Fig. 4 curve, only the part under red straight line is practicable, corresponding diagram 6
In curve, only the half of symmetrical curve is feasible, i.e. δcMinimum is reduced to from maximum finally to existPlace reaches sin (δ0) most
The part being worth greatly is practicable.
Final practicable figure is as shown in Figure 7 and Figure 8;
With δcReduction, work as δ0With δcIt is equal, it is equal toWhen, system transmission power reaches maximum value.When
When, each δcCorresponding two δ0Operating point, wherein biggish operating point should be taken, at this point, with δcReduction, the operation function of system
Rate is also reducing.Until reaching δcMinimum value.Work as δcWhen less than minimum value, system is without operating point.
Meanwhile δ can be obtained0And sin (δ0) and δc-δ0Between relation curve it is as shown in Figure 9 and Figure 10;
With the reduction of difference between the increase at operation angle and critical excision angle and operation angle, the operation power of system increases
Add.That is the operation power points of system is higher, and the difference between the failure removal angle and operation angle of system is smaller.
When the difference between failure removal angle and operation angle is fixed, the maximum operation power that can find out system is (practical
Maximum operation power can be less than by running power).
The invention proposes a kind of acquisition regional power grids by the method for electric energy power, as shown in figure 11, comprising:
It obtains regional power grid system and is initially entered power P0And the threshold value △ P by electric energy power deviation, determine regional power grid system
The most serious failure of system and most weak route:
Under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer, most line of weakness road
Power and the route maximum power ratio;
When acquisition regional power grid system failure route maximum operation power angle is pi/2, determine what transmission cross-section needed to amplify
Power multiple m, determining that regional power grid most receives electric energy power greatly is initially to be determined amplification factor critical coefficient k by entering m times of powermax
And kmin, wherein kmax=m+1 and kmin=0, wherein multiple m is greater than 0;
1.1 adjustment region network system trends determine that regional power grid power amplification is (kmax+kmin)/2 times;
1.2 obtain the fragile factor matrix under faulty line, determine the fragile factor of maximum in fragility factor matrix, determine
Most serious failure and most weak route;
1.3 pairs of failures carry out time-domain-simulations, check regional power grid system whether unstability, when regional power grid system is stablized,
Take kmin=(kmin+kmax)/2 take k when regional power grid system is unstablemax=(kmin+kmax)/2;
1.4 acquisition district systems most receive electric energy power greatly, judge (kmax-kmin) with initially by enter power product it is whether small
Terminated by the threshold value of electric energy power deviation if being less than or equal in being equal to, otherwise, into 1.1.
Determine regional power grid system most serious failure and most weak route, comprising: be based on initial trend, obtain each line
Fragile factor matrix under the failure of road determines the fragile factor of maximum in fragility factor matrix, screens maximum fragile factor pair and answers
Row and column, the row and column for determining the maximum fragile factor is respectively the corresponding most serious failure of the maximum fragile factor and most thin
Weak line road.
It is specific as follows, by the form of regional power grid and extraneous power grid contacted with multi-line two regional power systems in parallel
It shows, as shown in Figure 1.
Assuming that the connection impedance in region can be ignored compared with the connection impedance of parallel line, voltage magnitude is 1, then
After kth route disconnects, power △ Pk thereon is transferred on All other routes, and branch value is
It is assumed that generator rotor angle when each route operates in maximum power is δmax, can be approximate when fault clearing time is equal
Think each route maximum operation power angle δmaxIt is equal.
The ratio between power when route i is initial and maximum power are
When kth line failure, caused power flow transfer value is on i-th line road
After power flow transfer, the ratio between the power on i-th line road and maximum power are
Wherein,For j-th strip line admittance per unit value.
It is assumed that δmaxIt is equal, and is constant, therefore, for route i, δ0It is bigger, admittance value YiIt is bigger, and kth
The power Δ P of line transitionskBigger, then after breaking down, the transimission power nargin of the route is smaller, which is more possible to
Unstability occurs.
It can be formulaVulnerable line in two regional power grids being connected as multi-line
Measurement index is defined as the route fragility factor (LFF Line Fragility Factor), and the maximum route of the value is to be connected to break
The most weak route in face, is the critical circuits for limiting the section ability to transmit electricity.It, can be under real-time monitoring different conditions using the index
The weak route of section, and judge system whether close to total transfer capability.
When assessment area power grid is by electric energy power, most weak route and most serious failure are selected first with LFF index, it is assumed that
Most weak route is route i, and most serious failure is route k, then the power equal proportion amplification of each route is assumed, if power amplification times
Number is m.When then regional power grid transmission line of electricity power amplifies m times in proportion, when can obtain kth line failure, in i-th line
Road causes the ratio between the power on i-th line road and maximum power after power flow transfer value to be
Then available power amplification factor m value is
About δimax, can be sought by following formula
Enable δc=δimax+ Δ δ, wherein Δ δ needs to be determined according to fault clearing time.But as Δ δ=0, it can obtainThis value is δimaxMaximum value.
According to δimaxMaximum value and original state under system parameter and transmission power, attainable region domain power grid transmission power
Maximum multiple m.Therefore, the electric energy power that most receives greatly of regional power grid is initially by entering m times of power.
The present invention is illustrated the parameter of network system route and initial by taking the regional power grid system of East China Jiangsu as an example
Trend is as shown in table 1:
Table 1
Route | Line admittance (p.u.) | Route initial power (MW) | Initial angle (degree) |
1 | 5.28-201.47i | 1491 | 4.1 |
2 | 7.3-270.07i | 1999 | 4.1 |
3 | 4.86-77.33i | 974 | 7.6 |
4 | 4.86-77.33i | 974 | 7.6 |
5 | 5.53-122.15i | 1186 | 5.9 |
6 | 5.53-122.15i | 1186 | 5.9 |
7 | 6.88-68.32i | 334 | 3 |
8 | 176.8-640.88i | 974 | 0.9 |
9 | 176.8-640.88i | 974 | 0.9 |
10 | 2.97-140.58i | -21 | -1.7 |
11 | 35.85-487.56i | 2032 | -2.5 |
12 | 15.58-235.38i | -300 | 0.8 |
13 | 14.27-233.87i | -402 | 1.5 |
Under the original state of Jiangsu is 11401MW by electrical power.
The LFF matrix of each route is as follows under N-1 failure.
Table 2
The meaning of matrix element LFFij is that the ability to transmit electricity of caused i-th row line refers to after line fault where jth column
Mark, the value is bigger, illustrates closer apart from total transfer capability, and a possibility that route i unstability is caused after route j failure is bigger.
Therefore, from calculated result as can be seen that the maximum value of index is located at the row where overgrown with weeds three-rotation crest line roads, Yi Jihuai
Column where south-Nanjing, this just illustrates, if considering Huainan-Nanjing N-1 failure, the weak spot of system at overgrown with weeds 3-rotation peaks, when
When section power increases, after route Huainan-Nanjing is broken down, overgrown with weeds 3-rotation crest lines can be caused to pass by the temporary steady limit, system is up to most
Big ability to transmit electricity.
After Huainan-Nanjing N-1 failure breaks down under original state, the ratio of power and maximum power on overgrown with weeds 3-rotation peaks
Value be can obtain system power amplification multiple be 1/0.1405=7.1174, Jiangsu Province can be obtained most using the power amplification multiple
Receiving electric energy power greatly is about 81145MW.Region it is initial by electrical power be 11401MW:
1) dichotomy is used, adjustment region is (11401MW+81145MW)/2=46273MW by electrical power, is carried out fragile
The factor calculates and failure is checked, the results showed that, it is still Huainan-Nanjing N-1 failure that most serious failure, which remains unchanged, most serious event
Hinder lower system to stablize;
2) continue to adjust trend using dichotomy, so that region is (46273MW+81145MW)/2=by electrical power
63709MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system unstability under most serious failure;
3) continue to adjust trend using dichotomy, so that region is (46273MW+63709MW)/2=by electrical power
54991MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system is stablized under most serious failure;
4) continue to adjust trend using dichotomy, so that region is (54991MW+63709MW)/2=by electrical power
59350MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system unstability under most serious failure;
5) continue to adjust trend using dichotomy, so that region is (54991MW+59350MW)/2=by electrical power
57171MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system is stablized under most serious failure;
6) continue to adjust trend using dichotomy, so that region is (57171MW+59350MW)/2=by electrical power
58261MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system is stablized under most serious failure;
7) continue to adjust trend using dichotomy, so that region is (58261MW+59350MW)/2=by electrical power
58805MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system is stablized under most serious failure;
8) continue to adjust trend using dichotomy, so that region is (58805MW+59350MW)/2=by electrical power
59078MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system unstability under most serious failure;
9) continue to adjust trend using dichotomy, so that region is (58805MW+59078MW)/2=by electrical power
58941MW carries out the fragile factor and calculates and failure check, the results showed that, most serious failure remains unchanged, and is still Huainan-Nanjing
N-1 failure, system unstability under most serious failure;
10) it since the difference between two transmission powers is close to 100MW, is finely adjusted at this time, finally obtains Jiangsu Power Grid
Most receive greatly electric energy power be 58819MW.
Pass through 10 times or so adjustment in this way, Jiangsu Power Grid finally can be obtained most receives electric energy power greatly.
Actual emulation the result shows that, Jiangsu Province get in touch with section by route N-1 failure consider when, be limited failure be Huainan-south
Capital and work as painting-temmoku route N-1 failure, is to maximum two double-circuit lines of overgrown with weeds three-rotation peak line influences in corresponding LFF table.
The invention also provides a kind of acquisition regional power grids by the system 200 of electric energy power, as shown in figure 12, comprising:
Parameter determination module 201, when acquisition regional power grid system failure route maximum operation power angle is pi/2, transmission of electricity is disconnected
Face needs the power multiple m that amplifies, and determining that regional power grid most receives electric energy power greatly is initially by entering m times of power;
Module 202 is adjusted, adjustment region network system trend determines that regional power grid power amplification is (1+m)/2 times;
Fault determination module 203 obtains the fragile factor matrix under faulty line, determines the maximum in fragility factor matrix
The fragile factor determines most serious failure and most weak route;
Emulation module 204, to failure carry out time-domain-simulation, check regional power grid system whether unstability, when regional power grid system
When system is stablized, between the amplification factor of (1+m)/2-m, adjusts system load flow and carry out failure check, obtain district system
Most receive electric energy power greatly, when regional power grid system is unstable, between 0- (1+m)/2 amplification factor, adjusts system load flow and carry out
Failure is checked, obtain district system it is final most receive electric energy power greatly.
The module that gets parms 205 is based on initial trend, obtains the fragile factor matrix under each line fault.
Computing module 206 determines the fragile factor of maximum in fragility factor matrix, screens the corresponding row of the maximum fragile factor
And column, determine that the row and column of the maximum fragile factor is respectively the corresponding most serious failure of the maximum fragile factor and most line of weakness
Road;
Second computing module 207, after failure occurs and causes transfer under the network system original state of zoning, when failure
The ratio of power and faulty line maximum power on route.
The present invention provides first to draw on All other routes after a certain line fault of district system transmission cross-section under different conditions
The ratio of the power flow transfer value and route maximum transmission power that rise, and the route fragility factor is obtained, according to the route fragility factor
Size can determine system most serious failure and most weak route.There is identical amplification factor in transmission line of electricity transmission power
Under assuming that, obtains district system and most receive electric energy power estimated value greatly.Later by adjusting trend and dichotomy, in conjunction with time-domain-simulation knot
Fruit and the route fragility factor recalculate value, and the final reality for determining system most receives electric energy power greatly.
Claims (6)
1. a kind of regional power grid that obtains is by the method for electric energy power, the method includes:
Regional power grid system is obtained initially by entering power and by the threshold value of electric energy power deviation, determine the most serious of regional power grid system
Failure and most weak route:
Under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer, the most function of line of weakness road
The ratio of rate and the route maximum power;
When acquisition regional power grid system failure route maximum operation power angle is pi/2, the power that transmission cross-section needs to amplify is determined
Multiple m, determining that regional power grid most receives electric energy power greatly is initially to be determined amplification factor border coefficient k by entering m times of powermaxWith
kmin, wherein kmax=m+1 and kmin=0;
1.1 adjustment region network system trends determine that regional power grid power amplification is (kmax+kmin)/2 times;
1.2 obtain the fragile factor matrix under faulty line, determine the fragile factor of maximum in fragility factor matrix, and determination is most tight
Weight failure and most weak route;
1.3 pairs of failures carry out time-domain-simulation, and checking regional power grid system, whether unstability takes k when regional power grid system is stablizedmin
=(kmin+kmax)/2 take k when regional power grid system is unstablemax=(kmin+kmax)/2;
1.4 judgement (kmax-kmin) and initially whether be less than or equal to the threshold value by electric energy power deviation by the product for entering power, if being less than
It is equal to, then terminates, otherwise, into 1.1.
2. according to the method described in claim 1, most serious failure and the most weak route of the determination regional power grid system,
Include: that the fragile factor matrix under each line fault is obtained based on initial trend, determines that the maximum in fragility factor matrix is crisp
The weak factor screens the corresponding row and column of the maximum fragile factor, determines that the row and column of the maximum fragile factor is respectively maximum crisp
The weak corresponding most serious failure of the factor and most weak route.
3. according to the method described in claim 1, the multiple m is greater than 0.
4. a kind of regional power grid that obtains is by the system of electric energy power, the system includes:
The first information obtains module, obtains regional power grid system initially by entering power and by the threshold value of electric energy power deviation, determine area
The most serious failure of domain network system and most weak route:
Computing module, it is most weak under the power grid original state of zoning after the failure of most serious occurs and causes power flow transfer
The ratio of power and the route maximum power on route;
Second data obtaining module determines that transmission of electricity is broken when acquisition regional power grid system failure route maximum operation power angle is pi/2
Face needs the power multiple m that amplifies, and determining that regional power grid most receives electric energy power greatly is initially to be determined times magnification by entering m times of power
Number critical coefficient kmaxAnd kmin, wherein kmax=m+1 and kmin=0;
Module is adjusted, adjustment region network system trend determines that regional power grid power amplification is (kmax+kmin)/2 times;
Third data obtaining module obtains the fragile factor matrix under faulty line, determines that the maximum in fragility factor matrix is crisp
The weak factor determines most serious failure and most weak route;
Emulation module, to failure carry out time-domain-simulation, check regional power grid system whether unstability, when regional power grid system stablize
When, take kmin=(kmin+kmax)/2, when regional power grid system is unstable, kmax=(kmin+kmax)/2;
Judgment module, obtain district system most receives electric energy power greatly, judges (kmax-kmin) with initially by enter power product whether
Less than or equal to the threshold value by electric energy power deviation.
5. system according to claim 4, the most serious failure of the determination regional power grid system and most weak route,
Include: that the fragile factor matrix under each line fault is obtained based on initial trend, determines that the maximum in fragility factor matrix is crisp
The weak factor screens the corresponding row and column of the maximum fragile factor, determines that the row and column of the maximum fragile factor is respectively maximum crisp
The weak corresponding most serious failure of the factor and most weak route.
6. system according to claim 1, the multiple m is greater than 0.
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