CN109617078A - Route thermostabilization based on sensitivity prevents optimal control method - Google Patents
Route thermostabilization based on sensitivity prevents optimal control method Download PDFInfo
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- CN109617078A CN109617078A CN201811441899.5A CN201811441899A CN109617078A CN 109617078 A CN109617078 A CN 109617078A CN 201811441899 A CN201811441899 A CN 201811441899A CN 109617078 A CN109617078 A CN 109617078A
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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
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
-
- 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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
-
- 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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- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Supply And Distribution Of Alternating Current (AREA)
Abstract
The invention discloses a kind of, and the route thermostabilization based on sensitivity prevents optimal control method, and for the route thermostabilization problem during operation of power networks, this method has taken into account the localized heat stable problem and global operation level of power grid.It proposes that node power adjusts overall target in conjunction with node own power level, and gives the power regulation direction of node.Index is adjusted according to node power and node type forms power adjustment node collection and power-balance node collection.It finally proposes prevention and control Optimized model, more round adjustment is carried out to system power.Sample calculation analysis has been carried out by 39 node system of IEEE, has demonstrated the rapidity and validity of the model.
Description
Technical field
The present invention relates to a kind of route thermostabilizations to prevent optimal control method, belongs to technical field of electric power.
Background technique
In recent years, due to the transformation of investment successively and transmission line of electricity of the power supply of each department power grid and load and newly-built,
The operating status and the method for operation for resulting in electric system have biggish variation.With power generation end and receiving end power plus
Greatly, the transmission of electricity load factor of System Take is also increasing, in this case, when a route operating status reach the hot steady limit or
Because when failure leads to out of service, can then cause All other routes overload out of service, cause chain reaction.Therefore root is needed
It takes measures according to the current operating status of system, system is made to reach the state of safely and steadily running.
Prevention and control are carried out to the route thermostabilization in system running state herein, propose node power adjustment index,
Power adjustment node collection and power-balance node collection are formd, more round tune are carried out to system power using optimizing control models
It is whole, make system operation level optimal while so that route is reached safe operation.
Summary of the invention
The technical problem to be solved by the present invention is to overcome the deficiencies of existing technologies, a kind of route based on sensitivity is provided
Thermostabilization prevents optimal control method, carries out prevention and control to the route thermostabilization in system running state, proposes node function
Rate adjust index, form power adjustment node collection and power-balance node collection, using optimizing control models to system power into
The more round adjustment of row, make system operation level optimal while so that route is reached safe operation.
In order to solve the above technical problems, the invention adopts the following technical scheme:
Route thermostabilization based on sensitivity prevents optimal control method, characterized in that
The route that the thermostabilization limit or load factor are less than preset value is recognized, as optimizing and revising object:
According to the power adjustment index for optimizing and revising object and determining its first and end node；
The node collection for participating in power adjustment is formed according to the power adjustment index and node type of node；
Establish the route thermostabilization prevention and control Optimized model for optimizing and revising object；
Node power is adjusted according to Optimized model, then judges whether the thermostabilization limit of route or load factor reach
To the desired value of setting, if not up to, readjusted to node power, until reaching the desired value of setting.
The power adjustment index of node includes: adjustment effect of the node power variation to Line Flow, node power variation
The shadow that influence to whole system, the power-handling capabilities of node itself and the changed power of node increase and decrease Line Flow
Ring direction.
The route thermostabilization prevention and control Optimized model of foundation are as follows:
Constraint condition is
In formula (5): minf is the objective function of Optimized model, PLFor the active power of route L,It is steady for the heat of route L
Determine the limit, robjFor the load factor to be reached after adjustment, B is the node collection for participating in power adjustment, Δ PkFor the power tune of node k
Whole amount, ωkFor the power regulation weight of node k；α, β are respectively weight coefficient；
In formula (6),WithRespectively node k power adjustment Δ PkLower and upper limit；WithPoint
Not Wei node k power PkLower and upper limit.
The node collection for participating in power adjustment is made of power adjustment node collection and power-balance node collection.
The priority for determining node power adjustment is taken by several times according to the overall target distribution power adjustment amount of node
The power swing of the policy controlling system of adjustment.
The maximum node of sensitivity of selection route active power is adjusted, and realizes adjustment amount minimum and adjustment target most
It is excellent.
The sensitivity of route active power is obtained by Calculation of Sensitivity of its node voltage to node power.
The sensitivity of route active power is obtained using the Sensitivity Analysis Method based on Load flow calculation.
The sensitivity of route active power, step are obtained using the Sensitivity Analysis Method based on Load flow calculation are as follows:
Establish node power equilibrium equation:
F (X, U)=0 (1)
In formula, X=[V, δ]T, U=[P, Q]T, respectively state vector and dominant vector, wherein T indicates transposition, P table
Show active power, Q indicates reactive power；V indicates that voltage magnitude, δ indicate voltage phase angle；
To dominant vector total differential, sensitivity formula is obtained:
It is obtained by formula (2):
Spirit of the sensitivity λ of route L active power by the node voltage phase angle of route first and end to node active power
Sensitivity obtains, and is obtained according to formula (3):
In formula,WithRespectively route first, last node voltage phase angle δi、δjSensitivity to node active power,
xLFor the reactance of route L；
It is adjusted by the maximum node of sensitivity λ of formula (4) access line L active power, realizes that adjustment amount is minimum
It is optimal with adjustment target.
Advantageous effects of the invention:
The present invention provides a kind of, and the route thermostabilization based on sensitivity prevents optimal control method, establishes based on sensitive
The global optimization Controlling model of degree, the model carry out system power according to power adjustment node collection and power-balance node collection more
It is horizontal to have taken into account system overall operation while making the route for approaching the hot steady limit reach safety operation level for round adjustment.
The model, which can be applied not only to prevention and control, can also be used for emergent control, have more comprehensive and feasibility.
Detailed description of the invention
Fig. 1 is route thermostabilization power control procedures figure；
Fig. 2 is power adjustment effect contrast figure；
Fig. 3 is electric network performance comparison diagram.
Specific embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following embodiment is only used for clearly illustrating the present invention
Technical solution, and not intended to limit the protection scope of the present invention.
The calculating of 1 node power adjustment index
Calculation of Sensitivity of 1.1 routes to node active power
Node mainly embodies the adjustment capability of route active power by sensitivity, and the active power of transmission line of electricity is to section
The sensitivity of point power is bigger, then the regulating power of the node is stronger.Route is logical to the Calculation of Sensitivity of node active power
Cross what node voltage obtained the Calculation of Sensitivity of node power.
Sensitivity of the route to node active power is obtained using the Sensitivity Analysis Method based on Load flow calculation.Node function
Rate equilibrium equation is written as follow form:
F (X, U)=0 (1)
In formula, X=[V, δ]T, U=[P, Q]T, respectively state vector and dominant vector, wherein T indicates transposition, P table
Show active power, Q indicates reactive power, and V indicates that voltage magnitude, δ indicate voltage phase angle.
Sensitivity formula is obtained to dominant vector total differential for formula (1):
It is obtained by formula (2):
Route L active-power PLRoute first, last node voltage phase angle is passed through to section to the sensitivity λ of node active-power P
The sensitivity of point active power obtains, and is obtained according to formula (3):
In formula,WithRespectively route first, last node voltage phase angle δi、δjSensitivity to node active power,
xLFor the reactance of route L.
The physical significance of formula (4) is, to Mr. Yu transmission line of electricity, chooses the maximum node of sensitivity λ and is adjusted, can
To realize adjustment amount minimum and adjust the optimal effect of target.
Correlation analysis of 1.2 nodes to line power corrective action
For an operating status close to the route of the steady limit of heat, machine (power transmission side) is cut, cutting load (power side) can make
The load factor of route declines, but the load factor that cuts machine, cutting load instead and will lead to route of part of nodes rises.Such as to Mr. Yu
One node, if the power of load and route is all to flow out the node, the excision of load power undoubtedly will increase route
Trend.In addition, the node small for power correlation comparison, the variation of node power have little effect line power.Cause
This, it is necessary to adjusting direction of the analysis node changed power to line power.
The calculating of 1.3 node powers adjustment overall target
When the close hot steady limit of route operating status, needs to take measures to reduce Line Flow, make up to a peace
Full operating status.Also need to consider adjustable strategies to the power regulation energy of global influence and node itself during adjustment
Power.
During the adjustment, for power grid overall situation runnability, the tide of power grid is mainly reflected in static security analysis
The uniformity of flow distribution evaluates the attribute using the concept of electric network swim entropy herein.For the power regulation energy of node itself
Power is determined by regulated quantity with node load power or the ratio of generated power power output.
2 route thermostabilization prevention and control Optimized models
The target of route thermostabilization prevention and control is to be changed for the route close to the steady limit of heat by power regulation measure
The operating status of change system makes route reach the level of a safe operation.Meanwhile considering system overall operation level and node
Power limit itself obtains route thermostabilization prevention and control Optimized model:
Constraint condition is
In formula (5): minf is the objective function of Optimized model, PLFor the active power of route L,It is steady for the heat of route L
The limit, robjFor the load factor to be reached after adjustment；B is the node collection for participating in power adjustment.ΔPkFor the power adjustment of node k
Amount；ωkFor the power regulation weight of node k；α, β are respectively weight coefficient.
The physical significance of the Optimized model objective function are as follows: first item represents the mesh after power adjustment controls in formula (5)
Graticule road load factor reaches the degree of desired value, and the value is smaller closer, this is also most to value during adjustment, therefore weight
α can be set as 0.8；Section 2 represents the power adjustment of node, guarantees the power tune for also needing to make node while adjustment effect
Whole amount is minimum, and importance is lower than first item, and weight beta can be set as 0.2.
In formula (6),WithRespectively node k power adjustment Δ PkLower and upper limit；WithPoint
Not Wei node k power PkLower and upper limit.During node power adjustment, it is ensured that node power adjustment amount is in node itself
Within single adjustable range, and the power level for keeping node itself.
The node collection for participating in power adjustment is made of power adjustment node collection and power-balance node collection.Determine node collection simultaneously
And form the priority of power adjustment.According to the overall target distribution power adjustment amount of node, the strategy adjusted by several times is taken,
Guarantee system does not generate big power swing.
For the optimization problem of the Optimized model, due in Section 1 interior joint power adjustment index calculating and node
When the selection of collection, it is ensured that under the premise of meeting constraint condition, function to achieve the objective, therefore do not need optimization algorithm.
3 adjustment control flows
Route thermostabilization power control procedures are as shown in Figure 1.
When finding the Line Flow steady limit of close heat, startup power adjustment programme.It is recognized first close to the steady limit of heat
Route or the route for needing to reduce load factor carry out subsequent power adjustment for the route.
According to Section 1, the power adjustment index of calculate node.The index covers multinomial factor, including node power becomes
Adjustment effect of the change to Line Flow, influence of the node power variation to whole system, the power-handling capabilities of node itself, with
And the influence direction that the changed power of node increases and decreases Line Flow.The size of node power adjustment amount is according to the index simultaneously
Weight determines.
After terminating to the node power adjustment of system, trend is recalculated.Judge whether the load factor of route reaches the phase
It hopes level, if do not reached, continues to adjust.During entire adjustment, sight path trend level will do it multiple adjustment, until
Until meeting condition.
4 embodiments
In order to verify the validity and rapidity of this paper thermostabilization optimizing control models, made using 39 meshed network of IEEE
For example system.The system is a region power network in North America New England state, shares 10 generators, 19 load bus
With 46 routes.
Flow data herein based on 39 node of IEEE is as ground state data, after ground state flow data has been calculated, discovery
The load factor of route 16-19 is relatively high, for the route, takes Control Measure, reaches the operation shape an of safety
State, while guaranteeing that the operation level of system is best.
4.2 IEEE, 39 system power adjusts simulation analysis
After calculating trend to ground state data, the trend load factor highest of route 16-19 is found, be 75.22%.Here it sets
It is expected that the load factor reached is 50%, reaching the load factor to need reduced power is 151MW, is adjusted using optimizing control models
System power reaches this target.
The power adjustment node collection and power-balance node collection for being directed to route 16-19 are determined first.The route is chosen to section
Point active power sensitivity is greater than 0.015 node, these nodes are maximum for the power regulation ability of route 16-19.Meter and
System load flow entropy and node power Readjusting cost after node adjusting, obtain node power regulating index.The index is arranged
Sequence, first three the node of obtaining sorting is 33,15,16, adjusts direction and is positive, wherein node 33 is generator, node 15,16
For load bus.
The power adjustment that overall target determines each node is adjusted according to node power.According to power adjustment node collection and
Power-balance node collection is adjusted the node power of system, controls if line load rate reaches desired value after calculating trend
System terminates；If not up to desired value, the adjusting of next round is carried out.
In order to compare the validity and rapidity of text optimizing control models, using the method based on power flow tracing to close
The route of the hot steady limit carries out prevention and control, and analysis circuit load factor and system overall operation are horizontal, compares two methods
Superiority and inferiority.In the optimal control method based on power flow tracing, first against the trend of system, power flow tracing is carried out to get hair is arrived
Motor, route, load power contribution draw relationship.For the route for being intended to be controlled, analyze to the route contribution power
Generator and the load that power is drawn from the route carry out power adjustment to these nodes, so that reaching reduces line load rate
Purpose.
The power adjustment Contrast on effect of two methods is as shown in Fig. 2, power adjustment performance comparison is as shown in Figure 3.
From Figure 2 it can be seen that the control method based on sensitivity optimization model has just reached expectation after carrying out 3 power adjustments
Load factor (50%), and line load rate decline speed quickly.And under the control method based on power flow tracing, route
Load factor decrease speed is very slow, and line load rate declines seldom every time after the 5th adjustment, after illustrating the 5th time,
Through there is no the adjustment capability to the route.And based on the method for power flow tracing the 8th adjustment back loading rate according to
So do not reach desired value, illustrates that the adjustment effect of this method is bad.
In route thermostabilization prevention and control problem, the line load rate for being intended to be controlled is a critically important factor,
But the operation level of the power grid overall situation is also intended to the factor considered.The tuning performance of two methods is obtained, as shown in Figure 3.
The index is smaller, then tuning performance is better.As seen from Figure 3, the Performance Evaluating Indexes based on sensitivity optimization model
It is constantly in the lower section based on power flow tracing control method, and the speed declined is quickly.And the performance based on power flow tracing method
Evaluation index is basically unchanged after preceding adjustment three times, and adjustment effect later is not apparent.Therefore illustrate, controlled in thermostabilization
It is all rationally effective on Partial controll and overall performance based on sensitivity optimization model in problem.
The above is only a preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, without departing from the technical principles of the invention, several improvement and deformations can also be made, these improvement and deformations
Also it should be regarded as protection scope of the present invention.
Claims (9)
1. the route thermostabilization based on sensitivity prevents optimal control method, characterized in that
The route that the thermostabilization limit or load factor are less than preset value is recognized, as optimizing and revising object:
According to the power adjustment index for optimizing and revising object and determining its first and end node；
The node collection for participating in power adjustment is formed according to the power adjustment index and node type of node；
Establish the route thermostabilization prevention and control Optimized model for optimizing and revising object；
Node power is adjusted according to Optimized model, then judges whether the thermostabilization limit of route or load factor reach and sets
Fixed desired value, if not up to, readjusted to node power, until reaching the desired value of setting.
2. the route thermostabilization according to claim 1 based on sensitivity prevents optimal control method, characterized in that node
Power adjustment index include: node power variation to the adjustment effect of Line Flow, node power changes to whole system
It influences, the influence direction that the power-handling capabilities of node itself and the changed power of node increase and decrease Line Flow.
3. the route thermostabilization according to claim 1 based on sensitivity prevents optimal control method, characterized in that establish
Route thermostabilization prevention and control Optimized model are as follows:
Constraint condition is
In formula (5): minf is the objective function of Optimized model, PLFor the active power of route L,For the thermostabilization pole of route L
Limit, robjFor the load factor to be reached after adjustment, B is the node collection for participating in power adjustment, Δ PkFor the power adjustment of node k,
ωkFor the power regulation weight of node k；α, β are respectively weight coefficient；
In formula (6),WithRespectively node k power adjustment Δ PkLower and upper limit；WithRespectively
The power P of node kkLower and upper limit.
4. the route thermostabilization according to claim 1 or 3 based on sensitivity prevents optimal control method, characterized in that
The node collection for participating in power adjustment is made of power adjustment node collection and power-balance node collection.
5. the route thermostabilization according to claim 4 based on sensitivity prevents optimal control method, characterized in that determine
The priority of node power adjustment takes the strategy control adjusted by several times according to the overall target distribution power adjustment amount of node
The power swing of system processed.
6. the route thermostabilization according to claim 3 based on sensitivity prevents optimal control method, characterized in that selection
The maximum node of the sensitivity of route active power is adjusted, and realizes that adjustment amount minimum and adjustment target are optimal.
7. the route thermostabilization according to claim 6 based on sensitivity prevents optimal control method, characterized in that route
The sensitivity of active power is obtained by Calculation of Sensitivity of its node voltage to node power.
8. the route thermostabilization according to claim 6 based on sensitivity prevents optimal control method, characterized in that use
Sensitivity Analysis Method based on Load flow calculation obtains the sensitivity of route active power.
9. the route thermostabilization according to claim 8 based on sensitivity prevents optimal control method, characterized in that use
Sensitivity Analysis Method based on Load flow calculation obtains the sensitivity of route active power, step are as follows:
Establish node power equilibrium equation:
F (X, U)=0 (1)
In formula, X=[V, δ]T, U=[P, Q]T, respectively state vector and dominant vector, wherein T indicates that transposition, P indicate active
Power, Q indicate reactive power；V indicates that voltage magnitude, δ indicate voltage phase angle；
To dominant vector total differential, sensitivity formula is obtained:
It is obtained by formula (2):
Sensitivity of the sensitivity λ of route L active power by the node voltage phase angle of route first and end to node active power
It obtains, is obtained according to formula (3):
In formula,WithRespectively route first, last node voltage phase angle δi、δjSensitivity to node active power, xLFor line
The reactance of road L；
It is adjusted by the maximum node of sensitivity λ of formula (4) access line L active power, realizes that adjustment amount is minimum and adjusts
Whole target is optimal.
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| CN201811441899.5A CN109617078A (en) | 2018-11-29 | 2018-11-29 | Route thermostabilization based on sensitivity prevents optimal control method |
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6625115B1 (en) * | 1996-04-23 | 2003-09-23 | Hitachi, Ltd. | Self-healing network, method for transmission line switching thereof, and transmission equipment thereof |
| CN102208808A (en) * | 2011-07-28 | 2011-10-05 | 天津大学 | Power regulation method for improved-power-flow-tracing-based risk assessment |
| CN102904255A (en) * | 2012-10-22 | 2013-01-30 | 哈尔滨工业大学 | Analysis sensitivity-based under voltage load shedding optimal control method for power system |
| CN106981877A (en) * | 2017-02-16 | 2017-07-25 | 广西电网有限责任公司电力科学研究院 | Load based on DC power flow sensitivity analysis cuts down control method |
-
2018
- 2018-11-29 CN CN201811441899.5A patent/CN109617078A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6625115B1 (en) * | 1996-04-23 | 2003-09-23 | Hitachi, Ltd. | Self-healing network, method for transmission line switching thereof, and transmission equipment thereof |
| CN102208808A (en) * | 2011-07-28 | 2011-10-05 | 天津大学 | Power regulation method for improved-power-flow-tracing-based risk assessment |
| CN102904255A (en) * | 2012-10-22 | 2013-01-30 | 哈尔滨工业大学 | Analysis sensitivity-based under voltage load shedding optimal control method for power system |
| CN106981877A (en) * | 2017-02-16 | 2017-07-25 | 广西电网有限责任公司电力科学研究院 | Load based on DC power flow sensitivity analysis cuts down control method |
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