CN108054767B - Consider the PSS parameter setting method of multi-operating condition dynamic stability demand - Google Patents
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Abstract
The present invention is suitable for technical field of power systems, provides a kind of PSS parameter setting method for considering multi-operating condition dynamic stability demand, comprising the following steps: (1) select the grid operation mode of research to be analyzed;(2) natural oscillation mode is searched for for every kind of method of operation to be analyzed;(3) the underdamping coefficient definition of oscillation mode;(4) method of operation Load Probability coefficient defines;(5) electric network composition coefficient defines;(6) phase-frequency characteristic optimization aim and constraint;(7) additional weight calculates;(8) solution of optimization problem.The method that this method considers a variety of methods of operation of power grid and each method of operation dynamic stability demand to carry out unit PSS parameter adjusting in carrying out PSS parameter tuning process.This method setting parameter has preferable multimode adaptability, has reference value to the optimization adjusting of PSS parameter.
Description
Technical field
The invention belongs to technical field of power systems more particularly to a kind of consider multi-operating condition dynamic stability demand
PSS parameter setting method.
Background technique
China's long range, the transmission of electricity situation of large capacity are developing and are being formed, the power grid dynamic stability problem occurred therewith
Also more and more prominent.Low-frequency oscillation caused by underdamping includes local mode, region mode, and the frequency of oscillation of different mode is general
It is between 0.1-2.0Hz.Although Large-scale machine set (300MW or more) has generally been mounted with PSS (Power System
Stabilization, power system stabilizer, PSS), but there is also be difficult in full frequency band model by the dual input type PSS being widely used at present
The problem of interior offer optimal damper is provided.Consider that power grid dynamic stability demand optimizes PSS performance, makes power grid in multi-operating condition, more
Suitable damping is all had under kind oscillation mode, there is important meaning to promoting electric network transportation ability and improving safety and stability level
Justice.
In the correlative study of the adjusting of PSS parameter optimization at present, focuses mostly in using one machine infinity bus system as model, apply
A variety of methods optimize the PSS phase frequency parameter of unit, do not consider the adaptability of more grid operation modes, also do not contact electricity
Net natural oscillation mode.Existing parameter tuning mode changes electric network composition, the dynamic characteristic of PSS parameter after changes of operating modes
Effect does not carry out abundant consideration, and there are rooms for improvement for the adaptability of acquired PSS parameter.
Summary of the invention
In view of this, the embodiment of the invention provides a kind of PSS parameter for considering multi-operating condition dynamic stability demand is whole
Determine method, solves the problems, such as that current PSS parameter adjusting adaptability is low, have the characteristics that PSS parameter adjusting adaptability is high.
In order to solve the above technical problems, the technical solution used in the present invention is: a kind of consideration multi-operating condition dynamic is steady
Determine the PSS parameter setting method of demand, comprising the following steps:
(1) grid operation mode of research to be analyzed is selected;
(2) natural oscillation mode is searched for for every kind of method of operation to be analyzed;
(3) the underdamping coefficient definition of oscillation mode;
(4) method of operation Load Probability coefficient defines;
(5) electric network composition coefficient defines;
(6) phase-frequency characteristic optimization aim and constraint;
(7) additional weight calculates;
(8) solution of optimization problem.
Further, the influence factor of the grid operation mode of selection research to be analyzed includes load in the step (1)
Size, Feng great, rich small, withered big, withered small and electric network composition mode.
Further, it is carried out using Arnoldi method to method of operation natural oscillation mode to be analyzed in the step (2)
Search.
Further, method of operation Load Probability defines on the basis of the peak load spent in recent years in the step (4), note
It is horizontal to record network load, the set time acquires data, the probability distribution graph of annual load level is obtained, according to load probabilistic distribution
Figure obtains Load Probability function.
Further, step (7) the additional weight calculating is the vibration for each method of operation that applying step (2) searches
Mode is swung, the additional weight of every kind of oscillation mode is calculated.
Further, the non-linear multi-parameter bound constrained optimization in the step (6) is solved using effective set algorithm.
The beneficial effects of adopting the technical scheme are that the present invention considers multi-operating condition dynamic by design
The PSS parameter setting method of steady demand, comprising the following steps: (1) select the grid operation mode of research to be analyzed;(2) needle
Natural oscillation mode is searched for every kind of method of operation to be analyzed;(3) the underdamping coefficient definition of oscillation mode;(4) method of operation
The definition of Load Probability coefficient;(5) electric network composition coefficient defines;(6) phase-frequency characteristic optimization aim and constraint;(7) additional weight meter
It calculates;(8) solution of optimization problem.This method considers a variety of methods of operation of power grid and each in carrying out PSS parameter tuning process
Method of operation dynamic stability demand is come the method that carries out unit PSS parameter adjusting.By considering that defining oscillation mode underdamping is subordinate to
Membership fuction, method of operation Load Probability coefficient and structure probability coefficient function consider the natural oscillation mode of multiple methods of operation
Establish the PSS phase frequency optimization aim with additional weight.This method setting parameter has preferable multimode adaptability, right
The optimization adjusting of PSS parameter has reference value.
Detailed description of the invention
It to describe the technical solutions in the embodiments of the present invention more clearly, below will be to embodiment or description of the prior art
Needed in attached drawing be briefly described, it should be apparent that, the accompanying drawings in the following description is only of the invention some
Embodiment for those of ordinary skill in the art without any creative labor, can also be according to these
Attached drawing obtains other attached drawings.
Fig. 1 is the PSS parameter setting method provided in an embodiment of the present invention for considering multi-operating condition dynamic stability demand
Logical flow chart;
Fig. 2 is natural oscillation pattern search flow chart provided in an embodiment of the present invention;
Fig. 3 is the model framework chart of accelerating power type PSS provided in an embodiment of the present invention;
Fig. 4 is engineering turning PSS phase-frequency characteristic figure provided in an embodiment of the present invention;
Fig. 5 is network load probability distribution graph provided in an embodiment of the present invention.
Specific embodiment
In being described below, for illustration and not for limitation, the tool of such as particular system structure, technology etc is proposed
Body details, to understand thoroughly the embodiment of the present invention.However, it will be clear to one skilled in the art that there is no these specific
The present invention also may be implemented in the other embodiments of details.In other situations, it omits to well-known system, device, electricity
The detailed description of road and method, in case unnecessary details interferes description of the invention.
In order to illustrate technical solutions according to the invention, the following is a description of specific embodiments.
As shown in Figure 1, whole for the PSS parameter provided in an embodiment of the present invention for considering multi-operating condition dynamic stability demand
Determine the logical flow chart of method, comprising the following steps:
(1) grid operation mode of research to be analyzed is selected.
The selection of grid operation mode is considered as making different operating statuses comprising the unfavorable method of operation as comprehensive as possible
Dynamic characteristic demand is embodied.Such as consider rich big, rich small, withered big, the withered small mode of load, consider electric network composition variation
, before variation, variation after mode, consider the frequency of occurrences it is higher it is larger, compared with Smaller load mode etc..
(2) natural oscillation mode is searched for for every kind of method of operation to be analyzed.
As shown in Fig. 2, being natural oscillation pattern search flow chart provided in an embodiment of the present invention, in the natural oscillation mode
It is scanned in search process using Arnoldi method.
(3) the underdamping coefficient definition of oscillation mode.
Currently, the requirement to damping ratio size there is no Uniform provisions, heavy damping and underdamping none stringent boundary,
It is gradual change between them, rather than be mutated, whether underdamping is typical fuzzy problem to system oscillation mode.According to fuzzy
Theory, on domain U=[0,1], definition set C indicates system oscillation mode underdamping.Utilize F location mode definition set C
Membership function be type brother less than normal west distribution, definition are as follows:
α, β are greater than zero in formula.Technical standard order: oscillation mode of the damping ratio less than 0.01 must take steps to improve
Its damping, from the perspective of collateral security system safe and stable operation, it is suitable that damping ratio, which is increased to 0.05 or more,.By
The relationship of reference oscillation number and damping ratio in technical standard it is found that damping ratio be 0.2, reach system stablize need 2 times oscillation,
Damping ratio needs to vibrate less than 0.01 for 36 times or more.Consider above situation, defines a=0.01, C (0.05)=0.5, C (0.2)
=0.03 can acquire α ≈ 1314.30, β ≈ 2.23.
(4) method of operation Load Probability coefficient defines.
The moment changes the payload of power grid due to the variation of the factors such as season, time, weather, and each area is born
Lotus distribution has its inherent characteristics.On the basis of the peak load spent in recent years, record somewhere network load is horizontal, per hour
(set time) acquires data, can obtain the probability distribution graph of annual load level, load can be obtained according to Load Probability analysis chart
Probability function.
(5) electric network composition coefficient defines.
The structure of power grid changes year by year with development and planning, and important structure change will lead to the generation of power grid dynamic characteristic
Significant change.However by longtime running after the PSS setting parameter of unit, therefore when adjusting PSS parameter, consider to adapt to not send a telegram here
Net changes (such as 2-3 planning) and is necessary.The definition of different electric network composition probabilities of occurrence is as follows:
Wherein, n indicates existing primary Grid structure type quantity in PSS parameter application time section, ZiIndicate i-th kind of electricity
The web frame duration.
(6) phase-frequency characteristic optimization aim and constraint.
The adjusting of PSS parameter at this stage focuses primarily upon the optimization to phase-frequency characteristic, considers existing literature basis, the present invention
Phase-frequency characteristic optimization object function be shown below:
Wherein m indicates frequency observation point number within the scope of 0-2Hz, generally takes a point every 0.1Hz in engineering, totally 20
It is a.Indicate unit in frequency fjIntrinsic uncompensated phase shift, is obtained by test measurement,Indicate that PSS exists
Frequency fjOffset angle, the phase-frequency characteristic expression formula of common accelerating power type PSS2A are as follows:
φp=pi/2-arctan (wTw3)-arctan(wT7)
+arctan(wT1)-arctan(wT2)
+arctan(wT3)-arctan(wT4)
Parameter optimization value range incorporation engineering experience is formulated, Tw3、T7Rule of thumb it is appointed as constant, phase shift link parameter
Value range be [0.01,1].
(7) additional weight calculates.
Applying step (2) search obtains the oscillation mode of each method of operation, calculates the attached weight of every kind of oscillation mode, power
Restatement formula are as follows:
ηjIndicate the additional weight coefficient in frequency j, expression formula are as follows:
In above formula, k indicates weight adjustment coefficient, and for adjusting the size of additional weight, n indicates the considered method of operation
Quantity.Ci(xj) expression damping ratio be xjOscillation mode j underdamping degree of membership, Di(y) indicate that load coefficient is the fortune of y
The probability that line mode i occurs, EiIndicate the probability that the electric network composition of method of operation i occurs.
(8) solution of optimization problem.
The non-linear multi-parameter bound constrained optimization problem of step (6) can be used (but being not limited to) effectively set algorithm and be asked
Solution.Solution obtain it is convergent as a result, i.e. PSS optimization after parameter (T1-T4).
It is illustrated using Hebei South Power Network deep blue east No.1 unit as objective for implementation.Cang Dong power plant No.1 machine uses
NES6100 type field regulator, PSS model are as shown in Figure 3.In view of existing studies have shown that: filtering the selection of link parameter
It theoretically will not influence the damping of PSS, T7Numerical value be equal to blocking time constant, blocking link parameter is according to engineering experience
Setting is then studied only consideration phase shift link time constant, PSS phase-frequency characteristic to phase-frequency characteristic are as follows:
φp=pi/2-arctan (wTw3)-arctan(wT7)
+arctan(wT1)-arctan(wT2)
+arctan(wT3)-arctan(wT4)
The PSS that the uncompensated phase-frequency characteristic of actual measurement and practical tuning method of Cang Dong power plant No.1 unit obtain has compensation phase frequency
Characteristic is as shown in Figure 4.
(1) grid operation mode of research to be analyzed is selected:
The selection of typical way is considered as making the dynamic of different operating statuses comprising the unfavorable method of operation as comprehensive as possible
Property requirements are embodied.Such as consider rich big, rich small, withered big, the withered small mode of payload, consider electric network composition variation
, before variation, variation after mode, consider the frequency of occurrences it is higher it is larger, compared with Smaller load mode etc..Provincial electricity is studied in consideration herein
Net is influenced smaller feature by rich dry season, chooses electric network composition variation front and back mode, small mode, waist mode greatly, totally 6 modes are made
To consider object.The load coefficient of big mode, small mode and waist mode is respectively 0.4,0.7,0.9 times of peak load, power grid
Primary important electric network composition variation has occurred in PSS parameter application time section, and changes front and back method of operation duration
It is identical.
(2) natural oscillation mode is searched for for every kind of method of operation to be analyzed:
The oscillation mode relevant to the unit that selected 6 kinds of methods of operation are searched for using Arnoldi method
As shown in table 1.
1 Correlation oscillation mode of table
(3) the underdamping coefficient definition of oscillation mode:
Currently, the requirement to damping ratio size there is no Uniform provisions, heavy damping and underdamping none stringent boundary,
It is gradual change between them, rather than be mutated, whether underdamping is typical fuzzy problem to system oscillation mode.According to fuzzy
Theory, on domain U=[0,1], definition set C indicates system oscillation mode underdamping.Utilize F location mode definition set C
Membership function be type brother less than normal west distribution, definition are as follows:
α, β are greater than zero in formula.Technical standard order: oscillation mode of the damping ratio less than 0.01 must take steps to improve
Its damping, from the perspective of collateral security system safe and stable operation, it is suitable that damping ratio, which is increased to 0.05 or more,.By
The relationship of reference oscillation number and damping ratio in technical standard it is found that damping ratio be 0.2, reach system stablize need 2 times oscillation,
Damping ratio needs to vibrate less than 0.01 for 36 times or more.Consider above situation, defines a=0.01, C (0.05)=0.5, C (0.2)
=0.03 can acquire α ≈ 1314.30, β ≈ 2.23.Bringing oscillation mode damping ratio each in table 1 and parameter into above formula can obtain
The underdamping coefficient of each oscillation mode.
(4) method of operation Load Probability coefficient defines:
The moment changes the payload of power grid due to the variation of the factors such as season, time, weather, and each area is born
Lotus distribution has its inherent characteristics.On the basis of 2015 annual peak loads, Hebei South Power Network provincial power network load water is recorded
It is flat, data are acquired per hour, and 8760 load datas can be obtained in whole year.Statistic curve shown in Fig. 5 is the general of different load appearance
Rate distribution map, minimum load are about 0.32 times of peak load.D (y) seek can directly 5 curve of comparison diagram find load coefficient y
Corresponding probability value D (y) can also carry out according to Fig. 5 statistical data using wheat quart method (Levenberg-Marquardt)
The Fitting Calculation solves, and the parameter for obtaining function is as shown in table 2.
2 the Fitting Calculation parameters obtained of table
Parameter | Match value | Parameter | Match value |
b1 | 0.007319728 | b5 | 0.066646272 |
b2 | 0.967271837 | b6 | 0.117581993 |
b3 | 0.085763045 | b7 | 0.687296791 |
b4 | 0.533699056 | b8 | -0.092790237 |
The residual sum of squares (RSS) (SSE) of the Fitting Calculation is 0.0004, and related coefficient (R) is 0.9946, it is known that fitting precision
It can receive.Then the formula of application lower section acquires D (y).
(5) electric network composition coefficient defines:
With development primary large change occurs altogether for the structure of power grid, and the variation front and back duration is identical, and electric network composition goes out
The definition of existing probability is as follows:
Wherein, n indicates existing primary Grid structure type quantity in PSS parameter application time section, ZiIndicate i-th kind of electricity
Web frame duration, i.e. Ei=0.5.
(6) phase-frequency characteristic optimization aim and constraint
The adjusting of PSS parameter at this stage focuses primarily upon the optimization to phase-frequency characteristic, and existing method optimization aim is phase frequency
The sum of squares of deviations of characteristic and target property absolute value of the difference and minimum (referred to hereinafter as absolute-value scheme), phase-frequency characteristic and target property is minimum
(referred to hereinafter as sum of squares of deviations method).Consider existing method basis, the phase-frequency characteristic optimization object function of additional weight method of the present invention is as follows
Shown in formula:
Wherein m indicates frequency observation point number within the scope of 0-2Hz, generally takes a point every 0.1Hz in engineering, totally 20
It is a.Indicate unit in frequency fjIntrinsic uncompensated phase shift, is obtained by test measurement,Indicate that PSS exists
Frequency fjOffset angle, the phase-frequency characteristic expression formula of common accelerating power type PSS2A are as follows:
φp=pi/2-arctan (wTw3)-arctan(wT7)
+arctan(wT1)-arctan(wT2)
+arctan(wT3)-arctan(wT4)
Parameter optimization value range incorporation engineering experience is formulated, Tw3、T7Rule of thumb it is appointed as constant, phase shift link parameter
Value range be [0.01,1].
(7) additional weight calculates.
For the oscillation mode relevant to the unit that selected 6 kinds of methods of operation are searched for, it is computed additional power
The additional weight for the oscillation mode that weight coefficient is not zero is as shown in table 3.
3 additional weight coefficient table of table
Frequency | 0.4 | 0.9 | 1 | 1.2 | 1.3 | 1.4 |
Additional weight | 3.84 | 1.12 | 0.63 | 0.07 | 4.25 | 0.43 |
(8) solution of optimization problem
The non-linear multi-parameter bound constrained optimization problem of step 6) can be used (but being not limited to) effectively set algorithm and be solved.
Acquired optimization structure is as shown in table 4.
4 parameter optimization result of table
Parameter | T1 | T2 | T3 | T4 |
Additional weight | 0.183 | 0.010 | 0.183 | 0.010 |
Embodiment described above is merely illustrative of the technical solution of the present invention, rather than its limitations;Although referring to aforementioned reality
Applying example, invention is explained in detail, those skilled in the art should understand that: it still can be to aforementioned each
Technical solution documented by embodiment is modified or equivalent replacement of some of the technical features;And these are modified
Or replacement, the spirit and scope for technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution should all
It is included within protection scope of the present invention.
Claims (5)
1. a kind of PSS parameter setting method for considering multi-operating condition dynamic stability demand, which is characterized in that including following step
It is rapid:
(1) grid operation mode of research to be analyzed is selected;
(2) natural oscillation mode is searched for for every kind of method of operation to be analyzed;
(3) the underdamping coefficient definition of oscillation mode;Wherein, the membership function for defining the underdamping coefficient of the oscillation mode is
The distribution of type brother less than normal west;
(4) method of operation Load Probability coefficient defines;
(5) electric network composition coefficient defines;
(6) phase-frequency characteristic optimization aim and constraint;
(7) additional weight calculates;Wherein, the additional weight calculates the vibration for each method of operation that applying step (2) search
Mode is swung, the additional weight of every kind of oscillation mode is calculated;Wherein, the additional weight is according to the number of the grid operation mode
Amount, the underdamping coefficient of the oscillation mode, the method for operation Load Probability coefficient and the electric network composition coefficient are counted
It calculates;
(8) solution of optimization problem.
2. the PSS parameter setting method according to claim 1 for considering multi-operating condition dynamic stability demand, feature exist
In, the step (1) influence factor of the grid operation mode of selection research to be analyzed include payload, Feng great, it is rich it is small,
Withered big, withered small and electric network composition mode.
3. the PSS parameter setting method according to claim 1 for considering multi-operating condition dynamic stability demand, feature exist
In the middle search carried out using Arnoldi method to method of operation natural oscillation mode to be analyzed of the step (2).
4. the PSS parameter setting method according to claim 1 for considering multi-operating condition dynamic stability demand, feature exist
In method of operation Load Probability defines on the basis of the peak load spent in recent years in the step (4), records network load water
Flat, the set time acquires data, obtains the probability distribution graph of annual load level, show that load is general according to load probabilistic distribution figure
Rate function.
5. the PSS parameter setting method according to claim 1 for considering multi-operating condition dynamic stability demand, feature exist
In the non-linear multi-parameter bound constrained optimization in the step (6) is solved using effective set algorithm.
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