CN107147114A - A kind of method for visualizing for realizing power system steady state voltage stability domain - Google Patents
A kind of method for visualizing for realizing power system steady state voltage stability domain Download PDFInfo
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- CN107147114A CN107147114A CN201710419843.9A CN201710419843A CN107147114A CN 107147114 A CN107147114 A CN 107147114A CN 201710419843 A CN201710419843 A CN 201710419843A CN 107147114 A CN107147114 A CN 107147114A
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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
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/002—Flicker reduction, e.g. compensation of flicker introduced by non-linear load
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- Power Engineering (AREA)
- Supply And Distribution Of Alternating Current (AREA)
Abstract
The invention discloses a kind of method for visualizing for realizing power system steady state voltage stability domain, it is related to power system voltage stabilization technical field.Described method for visualizing is by online calculating the corresponding static voltage stability load margin of whole forecast failure situations, and by ascending order arrangement, a point in load level reference axis is used as using the corresponding power system load nargin of forecast failure situation, another point on using power system actual negative charge values as load level reference axis, then centered on load margin, its left side forms Static Voltage Stability Region, its right side forms quiescent voltage unstable domain, finally whole failure situations are sorted by the size of voltage stabilization load margin, it is listed in the visualization Static Voltage Stability Region that forecast failure is can obtain on a figure；The present invention can realize the visualization in power system steady state voltage stability domain, according to the difference of forecast failure collection, can also obtain the corresponding Static Voltage Stability Region of different forecast failure collections.
Description
Technical field
Realize that power system static voltage is steady the invention belongs to power system voltage stabilization technical field, more particularly to one kind
The method for visualizing of localization.
Background technology
The theoretical foundation of static electric voltage stability analysis is the performable theory of power flow equation, generally with the work(of electric power networks
Rate delivery limits are used as the index for judging power system steady state voltage stability.Wu Zhengqiu, Li Bo, Zhong Hao, Zeng Xingjia, Li Lian
Big the power system steady state voltage stabilities limit and nargin calculate summary [J] Power System and its Automation journals, 2010,22
(1):126-132, the static voltage stability commonly used to load margin, Jacobian matrix singular value, sensitivity index, modulus of impedance etc.
Index is reviewed, and compared for Continuation Method, direct method, Nonlinear Programming Method, singular value decomposition method, Sensitivity Method etc. often
The advantage and disadvantage of voltage stability index computational methods.
Static Voltage Stability Region is a kind of effective tool for describing power system steady state voltage stability border, existing static state
Voltage stability domain construction method is all based on the coordinate system of power system carrying out practically parameter structure.Ox rush, Yu Yixin, Jia Hong
Outstanding person, Yang Yanbin, He Nanqiang, Tang Zhiyu, Zhang Yiming pay three-dimensional visualization technique [J] power networks of Red Army's Static Voltage Stability Regions
Technology, 2005,29 (7):56-59, Wang Gang, Zhang Xuemin, plum give birth to second approximation analysis [J] of big Static Voltage Stability Region Boundaries
Proceedings of the CSEE, 2008,28 (19):30-35, the border for waiting researcher to define Static Voltage Stability Region is power flow equation
Singular point, using the power flow equation at power system singular point, obtain the secondary of static voltage stability border in circuit space
Approximate equation, so as to obtain the geometry description of a class Static Voltage Stability Region Boundary, realizes the visualization of stable region.
Existing quiescent voltage domain construction method is all based on the coordinate system of power system carrying out practically parameter structure, generally
Complex, electric power system dispatching operations staff is difficult to the static voltage stability state for intuitively grasping power system.Therefore, such as
It is the problem of needing to solve that what, which designs a Static Voltage Stability Region that is more succinct, readily appreciating and realize,.
The content of the invention
In view of the shortcomings of the prior art, the present invention provides a kind of visualization side for realizing power system steady state voltage stability domain
Method, can it is more succinct, readily appreciate depict power system steady state voltage stability domain.
The present invention is to solve above-mentioned technical problem by the following technical solutions：One kind realizes power system static electricity
The method for visualizing of voltage stabilization field, including following steps：
Step 1, the operational factor for gathering power system, the demand analyzed according to Operation of Electric Systems build power system
N-n forecast failure set SC；
Step 2, based on power system current running status and parameter, forecast failure set S is considered one by oneCIn whole
Forecast failure situation, sets up the optimization mould of power system steady state voltage stability load margin calculating in the case of m-th of forecast failure
Type PmFor：
Pm:min-λm
s.t.f(x,λm)=0
g(x)≤0
Wherein, λmIt is the corresponding power system load nargin of m-th of forecast failure situation, m ∈ SC, f (x, λm)=0 is to contain
The augmentation power flow equation of load margin, g (x)≤0 is the physical limit of power system steady stability operation constraint and power equipment
Constraint；X is the variable of power system augmentation power flow equation；
Step 3, using optimized algorithm calculation optimization model P one by onem, obtain all pre- in power system forecast failure set
Think the corresponding load margin λ of failure situationm, m ∈ SC；Judge whether to complete the corresponding load margin λ of whole forecast failure situationsm
Calculating, if it is, into next step；If it is not, then continuing calculated load nargin λm；
Step 4, set up a two-dimensional coordinate axle, abscissa is load level, and ordinate is forecast failure situation；
Step 5, by ascending order arrange load margin λm, m ∈ SC, in the two-dimensional coordinate axle, with forecast failure situation correspondence
Power system load nargin λmIt is used as a point in load level reference axis；
Step 6, centered on load margin, its left side formed Static Voltage Stability Region, its right side formed quiescent voltage not
Stable region；
The visualized graphs of step 7, output power static system voltage stability domain and unstable domain.
Further, in the step 1 power system N-n forecast failure set SCConventional is N-1 or N-2 anticipation events
Hinder set SC。
Further, the optimized algorithm in the step 3 uses original dual interior point, with good Fast Convergent
Property and robustness, be very suitable for solve large-scale nonlinear constrained minimization problem.
Further, the solution procedure of the original dual interior point includes：1. slack variable is introduced, by step 2
Inequality constraints be converted to equality constraint；2. the Optimized model without inequality constraints is configured to Lagrangian；③
According to Lagrangian, disturbance KKT conditional equation groups are derived；4. KKT conditional equations are disturbed using Newton Algorithm, you can obtain
Obtain the solution of Optimized model.
Further, the method for visualizing for realizing power system steady state voltage stability domain uses MATLAB Programming with Pascal Language
To realize.
Compared with prior art, the method for visualizing provided by the present invention for realizing power system steady state voltage stability domain,
By being sorted to the corresponding static voltage stability load margin of whole forecast failure situations in forecast failure set, so as to obtain quiet
State voltage stability boundary, the method for visualizing is easily achieved, available for power system in line computation；It is quiet that the present invention is obtained
State voltage stability domain is more succinct, directly perceived, is easy to electric power system dispatching operations staff to understand and use.
Brief description of the drawings
In order to illustrate more clearly of technical scheme, the accompanying drawing used required in being described below to embodiment
It is briefly described, it should be apparent that, drawings in the following description are only one embodiment of the present of invention, general for this area
For logical technical staff, on the premise of not paying creative work, other accompanying drawings can also be obtained according to these accompanying drawings.
Fig. 1 is a kind of flow chart for the method for visualizing for realizing power system steady state voltage stability domain of the present invention；
Fig. 2 is IEEE-30 node powers static system voltage stability domain figure displaying of the present invention.
Embodiment
With reference to the accompanying drawing in the embodiment of the present invention, the technical scheme in the present invention is clearly and completely described,
Obviously, described embodiment is only a part of embodiment of the invention, rather than whole embodiments.Based in the present invention
Embodiment, the every other embodiment that those of ordinary skill in the art are obtained on the premise of creative work is not made,
Belong to the scope of protection of the invention.
As shown in figure 1, a kind of method for visualizing for realizing power system steady state voltage stability domain provided by the present invention is adopted
Realized with MATLAB Programming with Pascal Language, by taking IEEE-30 node power static system voltage stabilization domain analysis as an example, including it is following
Step：
Step 1, the operational factor for gathering power system, the demand analyzed according to Operation of Electric Systems build and include 10
The power system forecast failure set S of N-1 forecast failure situationsC, it is specific as shown in table 1；
The IEEE-30 system N-1 forecast failure collections of table 1
| Failure is numbered | Headend node | Endpoint node |
| Branch road 1 | 1 | 2 |
| Branch road 2 | 1 | 3 |
| Branch road 3 | 2 | 4 |
| Branch road 4 | 3 | 4 |
| Branch road 5 | 2 | 5 |
| Branch road 6 | 2 | 6 |
| Branch road 7 | 4 | 6 |
| Branch road 8 | 5 | 7 |
| Branch road 9 | 6 | 7 |
| Branch road 10 | 6 | 8 |
Step 2, based on power system current running status and parameter, forecast failure set S is considered one by oneCIn whole
Forecast failure situation, sets up the optimization mould of power system steady state voltage stability load margin calculating in the case of m-th of forecast failure
Type PmFor：
Pm:min-λm
i,j∈SB
Wherein, λmIt is the corresponding power system load nargin of m-th of forecast failure situation, m ∈ SC；SBFor node set；SG
For generator node set；SRFor reactive source set；PGiThe active power sent for node i generator；QRiFor all kinds of nothings of node i
The reactive power that work(source is sent；PLiAnd QLiRespectively node i load is active and reactive power；bPiAnd bQiRespectively node i is negative
Lotus increases direction；ViAnd δiThe respectively voltage magnitude and phase angle of node i；YijFor bus admittance matrix element；δij=δi-δj-
αij, αijFor bus admittance matrix respective element phase angle； P GiRespectively PGiCorrespondence bound； Q RiRespectively QRiCorrespondence
Bound； V iIt is node i voltage magnitude bound respectively；The variable x of power system augmentation power flow equation is sent out including generator
The active-power P gone outGi, the reactive power Q that sends of reactive sourceRi, node load active-power PLi, node load reactive power QLi、
Node voltage amplitude ViWith node voltage phase angle δi；
Step 3, using original dual interior point calculation optimization model P one by onem, obtain IEEE-30 node power systems
The corresponding load margin λ of whole forecast failure situation in forecast failure setm, as shown in table 2；Judge whether to complete whole anticipations
The corresponding load margin λ of failure situationmCalculating, if it is, into next step；If it is not, then continuing calculated load nargin
λm；
The IEEE-30 node power system forecast failure collection corresponding load nargin of table 2
| Failure is numbered | Load margin |
| Branch road 1 | 1.6926 |
| Branch road 2 | 1.6915 |
| Branch road 3 | 1.7324 |
| Branch road 4 | 1.6999 |
| Branch road 5 | 1.7326 |
| Branch road 6 | 1.6974 |
| Branch road 7 | 1.7101 |
| Branch road 8 | 1.7273 |
| Branch road 9 | 1.7922 |
| Branch road 10 | 1.7529 |
Step 4, set up a two-dimensional coordinate axle, abscissa is load level, and ordinate is forecast failure situation；
Step 5, by ascending order arrange load margin λm, in the two-dimensional coordinate axle, with the corresponding electricity of forecast failure situation
Force system load margin λmIt is used as a point in load level reference axis；
Step 6, centered on load margin, its left side formed Static Voltage Stability Region, its right side formed quiescent voltage not
Stable region, as shown in Figure 2；
The visualized graphs of step 7, output power static system voltage stability domain and unstable domain, as shown in Fig. 2 from figure
In as can be seen that the present invention can succinctly depict power system steady state voltage stability domain.
Above disclosed is only the embodiment of the present invention, but protection scope of the present invention is not limited thereto,
Any one skilled in the art the invention discloses technical scope in, can readily occur in change or modification, all
It should be included within the scope of the present invention.
Claims (7)
1. a kind of method for visualizing for realizing power system steady state voltage stability domain, it is characterised in that including following steps：
Step 1, the operational factor for gathering power system, the demand analyzed according to Operation of Electric Systems build the N-n of power system
Forecast failure set SC；
Step 2, based on power system current running status and parameter, forecast failure set S is considered one by oneCIn whole anticipations
Failure situation, sets up the Optimized model P of power system steady state voltage stability load margin calculating in the case of m-th of forecast failurem
For：
Pm:min-λm
s.t.f(x,λm)=0
g(x)≤0
Wherein, λmIt is the corresponding power system load nargin of m-th of forecast failure situation, m ∈ SC, f (x, λm)=0 is to contain load
The augmentation power flow equation of nargin, g (x)≤0 is power system steady stability operation constraint and the physical limit constraint of power equipment；
X is the variable of power system augmentation power flow equation；
Step 3, using optimized algorithm calculation optimization model P one by onem, obtain all envisioning event in power system forecast failure set
The corresponding load margin λ of barrier situationm, m ∈ SC；Judge whether to complete the corresponding load margin λ of whole forecast failure situationsmMeter
Calculate, if it is, into next step；If it is not, then continuing calculated load nargin λm；
Step 4, set up a two-dimensional coordinate axle, abscissa is load level, and ordinate is forecast failure situation；
Step 5, by ascending order arrange load margin λm, m ∈ SC, in the two-dimensional coordinate axle, with the corresponding electricity of forecast failure situation
Force system load margin λmIt is used as a point in load level reference axis；
Step 6, centered on load margin, its left side formed Static Voltage Stability Region, its right side formed quiescent voltage it is unstable
Domain；
The visualized graphs of step 7, output power static system voltage stability domain and unstable domain.
2. the method for visualizing as claimed in claim 1 for realizing power system steady state voltage stability domain, it is characterised in that described
The N-n forecast failure set S of power system in step 1CThat conventional is N-1 or N-2 forecast failure set SC。
3. the method for visualizing as claimed in claim 1 for realizing power system steady state voltage stability domain, it is characterised in that described
The variable x of power system augmentation power flow equation includes the active-power P that generator is sent in step 2Gi, reactive source send it is idle
Power QRi, node load active-power PLi, node load reactive power QLi, node voltage amplitude ViWith node voltage phase angle δi。
4. the method for visualizing as claimed in claim 3 for realizing power system steady state voltage stability domain, it is characterised in that described
The Optimized model P of load margin is calculated in step 2mFor：
Pm:min-λm
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1
Wherein, λmIt is the corresponding power system load nargin of m-th of forecast failure situation, m ∈ SC；SBFor node set；SGFor hair
Motor node set；SRFor reactive source set；PGiThe active power sent for node i generator；QRiFor all kinds of reactive sources of node i
The reactive power sent；PLiAnd QLiRespectively node i load is active and reactive power；bPiAnd bQiRespectively the load of node i increases
Plus direction；ViAnd δiThe respectively voltage magnitude and phase angle of node i；YijFor bus admittance matrix element；δij=δi-δj-αij, αij
For bus admittance matrix respective element phase angle； P GiRespectively PGiCorrespondence bound； Q RiRespectively QRiAbove and below correspondence
Limit； V iIt is node i voltage magnitude bound respectively.
5. the method for visualizing as claimed in claim 1 for realizing power system steady state voltage stability domain, it is characterised in that described
Optimized algorithm in step 3 uses original dual interior point.
6. the method for visualizing as claimed in claim 5 for realizing power system steady state voltage stability domain, it is characterised in that described
The solution procedure of original dual interior point includes：1. slack variable is introduced, the inequality constraints in the step 2 is converted to
Equality constraint；2. the Optimized model without inequality constraints is configured to Lagrangian；3. according to Lagrangian, push away
Lead disturbance KKT conditional equation groups；4. KKT conditional equations are disturbed using Newton Algorithm, you can obtain the solution of Optimized model.
7. the method for visualizing as claimed in claim 1 for realizing power system steady state voltage stability domain, it is characterised in that use
MATLAB Programming with Pascal Language is realized.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103580022A (en) * | 2013-11-05 | 2014-02-12 | 国家电网公司 | Electrical power system dynamic reactive storage computing method |
| CN103795058A (en) * | 2014-02-12 | 2014-05-14 | 国家电网公司 | Static voltage stability margin analyzing and system fault ordering method of power system |
| CN104734151A (en) * | 2015-03-31 | 2015-06-24 | 河南行知专利服务有限公司 | Electric system static security assessment method |
| CN105406480A (en) * | 2015-12-31 | 2016-03-16 | 国网冀北电力有限公司电力科学研究院 | Voltage stability preventive control method and device |
| CN106558879A (en) * | 2015-09-30 | 2017-04-05 | 中国电力科学研究院 | A kind of electricity net safety stable analysis method based on safety and stability index |
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Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103580022A (en) * | 2013-11-05 | 2014-02-12 | 国家电网公司 | Electrical power system dynamic reactive storage computing method |
| CN103795058A (en) * | 2014-02-12 | 2014-05-14 | 国家电网公司 | Static voltage stability margin analyzing and system fault ordering method of power system |
| CN104734151A (en) * | 2015-03-31 | 2015-06-24 | 河南行知专利服务有限公司 | Electric system static security assessment method |
| CN106558879A (en) * | 2015-09-30 | 2017-04-05 | 中国电力科学研究院 | A kind of electricity net safety stable analysis method based on safety and stability index |
| CN105406480A (en) * | 2015-12-31 | 2016-03-16 | 国网冀北电力有限公司电力科学研究院 | Voltage stability preventive control method and device |
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