CN102157950A - Damping control system optimization method based on damping ratios and phase relative sensitivity - Google Patents

Damping control system optimization method based on damping ratios and phase relative sensitivity Download PDF

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CN102157950A
CN102157950A CN2011100749505A CN201110074950A CN102157950A CN 102157950 A CN102157950 A CN 102157950A CN 2011100749505 A CN2011100749505 A CN 2011100749505A CN 201110074950 A CN201110074950 A CN 201110074950A CN 102157950 A CN102157950 A CN 102157950A
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control system
damping ratio
oscillation mode
phase place
damped control
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CN102157950B (en
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陈迅
盛超
曾艳
曹亚龙
翁洪杰
魏伟
张俊峰
吴晓宇
彭波
陈锐
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Electric Power Research Institute of Guangdong Power Grid Co Ltd
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Electric Power Research Institute of Guangdong Power Grid Co Ltd
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Abstract

The invention provides a damping control system optimization method based on damping ratios and phase relative sensitivity, which comprises the following steps of: analyzing the dynamic stability of an interconnected power system according to the damping ratio of each oscillation mode, selecting a related oscillation mode to be analyzed and adjusted according to the magnitude of the damping ratios and generating units, high-voltage DC transmission system and the like with greatest influence; converting the coordinates of a mathematical model expression of a power system stabilizer (PSS) related to the oscillation mode and other damping control systems so as to achieve the purpose of modular angle separation; maintaining the gain of a transfer function unchanged after parameter adjustment by using an equivalent AC (Alternating Current) gain method; and calculating the sensitivity of the damping ratio relative to phase, carrying out oriented optimization design with a clear direction on the parameters of the damping control systems according to the sensitivity, increasing the damping ratio of the oscillation mode, and inhibiting the occurrence of low-frequency oscillation. By means of the damping control system optimization method, the blindness that the parameters of the damping control systems are tried and made up by using an approximate method in the prior art is avoided, and the stable operation of a large interconnected power system is facilitated.

Description

Damped control system optimization method based on damping ratio and phase place relative sensitivity
Technical field
The present invention relates to the technical field of alternating current-direct current interconnected electric power system safety and stability control, relate in particular to the damped control system optimization method of alternating current-direct current interconnected electric power system of the relative sensitivity of a kind of transfer function modular angle separation theorem, equivalent ac gain method and damping ratio and phase place.
Background technology
The load capacity of interconnected large power system (Large Scale System) has tens million of even more than one hundred million kilowatts usually, population can reach tens million of even more than one hundred million usually in the service area, hundreds of transformer station is coupled together by thousands of transmission line of alternation currents and a small amount of big capacity, distant-range high voltage direct current transmission system in the electrical network, hundreds and thousands of generators and excitation system thereof wherein also are installed, have and hive off and related architectural feature.Yet, the inertia of each control system link causes signal transmission and control lag in the large-scale interconnected electric power system, cause interconnected electric power system that potential spontaneous oscillation must be arranged, and the vibration shape is various, only the electromechanical oscillations pattern usually discusses thousand, and the low-frequency oscillation frequency is generally in the 0.2-2.0Hz scope.In when, in the described interconnected electric power system low-frequency oscillation taking place when, the safe and stable operation of entail dangers to system, the ability of restriction interconnection transmission power.Whether cause as for low-frequency oscillation, whether decay after the initiation, the damping ratio that then depends on described each oscillation mode of electric power interconnected systems, therefore, managing to increase damping ratio is the most frequently used and efficient ways that suppresses low-frequency oscillation, improves the dynamic stability of electrical network.
Power system stabilizer, PSS in the generator excited system (Power System Stabilizer, PSS) be exactly to design for strengthening the low-frequency oscillation damping ratio specially, be that first-elected being used for of international conference on large HV electric systems suppresses the effective measures of low-frequency oscillation, therefore, obtained using the most widely in recent years.
In addition, add other damped control system in the HVDC (High Voltage Direct Current) transmission system of trans-regional, big volume transport active power, for example high voltage direct current transmission adds control system etc., also is the effective means that suppress low-frequency oscillation between the Da Qu.
PSS also is a kind of additional control function of generator excited system in fact, the excitation operate as normal is feedback quantity with the set end voltage, PSS has added the feedback based on active power on this basis, is that system increases a damping ratio when meritorious generation is vibrated just, makes vibration steady as early as possible.And the independent input PSS of power plant effect is limited, has only the most of power supply point in the interconnected electric power system all to drop into PSS, and the resistant and oscillation resistant ability of electrical network just can significantly improve.
And present in the practical application of alternating current-direct current interconnected electric power system, mainly be to come damped control systems such as PSS are adjusted by the mode of on-the-spot test.
But, at present under considerable situation, the means of on-the-spot test are incomplete, external condition restriction order test is inaccurate, the problem that producer's model and parameter exist is unknowable, could not survey and have error, adjust and be difficult to reach the engineering optimum in the scene of damped control systems such as PSS, its adaptability also has problem.
In addition, owing to there are not practical parameter optimizing computational methods, people always also can't be by concrete effect and the speciality of damped control system when suppressing low-frequency oscillation such as optimization of computational analysis means and precognition PSS.
For a long time, be difficult on the one hand solve and distinguish a polynary difficult problem that influences each factor effect size of parameter (being the variation that the variation of this parameter can cause the multiple factor that influences variation of damping ratio simultaneously), be subjected to the restriction of the non-analyticity constraintss such as influence of phase place, amplitude limitation and changes of operating modes on the other hand, still the parameter optimization method that does not work out the damped control systems such as PSS that a cover is practical, reliable, adaptability is good up to now can be used for being unfavorable for the further raising of described interconnected electric power system global stability in the middle of Practical Calculation or the test.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of damped control system optimization method based on damping ratio and phase place relative sensitivity, it can adjust the phase place of each relevant damped control system according to concrete oscillation mode, to reach the parameter of distributing described damped control system rationally, improve power system dynamic stability.
A kind of damped control system optimization method based on damping ratio and phase place relative sensitivity may further comprise the steps:
Calculate the characteristic root and the damping ratio of each oscillation mode in the described alternating current-direct current interconnected electric power system; Whether the damping ratio of judging each described oscillation mode less than predetermined value, if less than described predetermined value, and the damped control system of then selected described oscillation mode and the generating set relevant with described oscillation mode; Transfer function to selected described damped control system is carried out the conversion of rectangular coordinate system to polar coordinate system, calculates the mould value and the phase angle of its transfer function respectively; According to the mould value of described transfer function, by equivalent ac gain method, regulate in the described damped control system and the corresponding multiplication factor of described mould value, keep the constant of described transfer function ac gain; According to the phase changing capacity of the transfer function of the characteristic root of each described oscillation mode and variation of damping ratio amount and described damped control system, the damping ratio of calculating each described oscillation mode is with respect to the damping ratio of the transfer function phase place of described damped control system and the relative sensitivity of phase place; According to the relative sensitivity size of damping ratio under each described oscillation mode and phase place, regulate in the corresponding described damped control system and phase place corresponding parameter transfer function, increase the damping ratio of described oscillation mode.
Further, if the damping ratio of the relevant oscillation mode of described interconnected electric power system to the sensitivity symbol of phase place by just becoming negative or becoming timing by negative, then explanation has reached the optimum angle compensation point, then finishes the parameter adjustment process to described power system stabilizer, PSS and/or the additional control system of high voltage direct current transmission.
Compared with prior art, the damped control system optimization method based on damping ratio and phase place relative sensitivity of the present invention is realized optimization to the damped control system of alternating current-direct current interconnected electric power system based on transfer function modular angle separation theorem, equivalent ac gain method and damping ratio to the sensitivity of phase place.Trend by described interconnected electric power system, stablize data, calculate the damping ratio of each oscillation mode, choose the oscillation mode that needs are analyzed adjustment according to described damping ratio, and the most effective damped control system (comprising the additional control system of power system stabilizer, PSS PSS and/or high voltage direct current transmission etc.).Then, the transfer function of selected relevant damped control system is carried out the conversion of rectangular coordinate system to polar coordinate system, with the separation of modular angle two class variables of realizing transfer function; Use equivalent ac gain method to keep the ac gain of transfer function under the parameter change situation, to keep constant again.According to the variation of damping ratio amount of selected described oscillation mode, and the phase changing capacity of the transfer function of described damped control system, of the sensitivity of the damping ratio of each described concussion pattern correspondence calculated with respect to described transfer function phase place; At last,, the parameter of described damped control system is optimized adjustment, improves the damping ratio of oscillation mode, prevent that low-frequency oscillation from taking place according to the size of the relative sensitivity of described damping ratio that calculates and phase place.Therefore the damped control system optimization method based on damping ratio and phase place relative sensitivity of the present invention can be according to the concrete oscillation mode adjustment of the described interconnected electric power system parameter of effective damped control system, make the adjustment of each described damped control system suit the real-time condition of described interconnected electric power system more, help the stable operation of described interconnected electric power system.
In a word, the present invention systematically, has intactly proposed to exist the polynary parameter influence that influences to be difficult to distinguish a difficult problem in the damped control system that a cover can overcome interconnected electric power system effectively, and non-analyticity constraints limit such as phase place, amplitude limitation and changes of operating modes influence, the damped control system optimization method practical, reliable, that adaptability is good.
This method is from the angle of the whole network, damped control system between the dynamic stability of analysis alternating current-direct current interconnected network, screening oscillation mode, design, optimization and coordination each unit (comprising power system stabilizer, PSS PSS, the additional control system of high voltage direct current transmission etc.), thereby the dynamic stability of control and raising alternating current-direct current interconnected network has solved the long-term insurmountable problem of this technical field.
Description of drawings
Fig. 1 is the flow chart of steps that the present invention is based on the damped control system optimization method of damping ratio and phase place relative sensitivity;
Fig. 2 is the model structure schematic diagram of the additional control system of a kind of typical power system stabilizer, PSS;
The structural representation of the additional control system of the warbled high voltage direct current transmission of a kind of typical bilateral of Fig. 3.
Embodiment
See also Fig. 1, Fig. 1 is the flow chart of steps that the present invention is based on the damped control system optimization method of damping ratio and phase place relative sensitivity.
Described damped control system optimization method based on damping ratio and phase place relative sensitivity may further comprise the steps:
Step S101 calculates the characteristic root and the damping ratio of each oscillation mode in the described alternating current-direct current interconnected electric power system;
When characteristic root that carries out described oscillation mode and damping ratio calculating, can from the system data file dat of the flow calculation program (BPA) of described interconnected electric power system and transient stability analysis data file swi, read the original flow data of described interconnected electric power system, wherein, described original flow data reacts described interconnected electric power system structure and operating condition; And from the calculation of tidal current file pfo of described flow calculation program (BPA), read the calculation of tidal current data of described each oscillation mode of interconnected electric power system, i.e. the initial balance working point of described interconnected electric power system; It is calculated that the characteristic root of described electric power system then according to the stability number of described original flow data, described calculation of tidal current data and described alternating current-direct current interconnected electric power system, can calculate the damping ratio (or claiming the damping ratio ratio) of corresponding oscillation mode by described characteristic root.
The characteristic root of supposing each oscillation mode of the described interconnected electric power system that calculates is: λ=σ+j ω, wherein, and the respectively corresponding oscillation mode of each described characteristic root, σ is the real part of described characteristic root; ω is the imaginary part of described characteristic root, is directly proportional with the frequency of corresponding oscillation mode.
Then, calculate the damping ratio ξ of corresponding oscillation mode by following formula:
ξ = - σ σ 2 + ω 2 ;
Before beginning calculating, can select suitable computational methods to calculate described characteristic root: to adopt IRA key feature root algorithm for larger interconnected electric power system earlier according to the scale of described interconnected electric power system; Then adopt the full characteristic root algorithm of QR for the less interconnected electric power system of scale.
By analyzing the scale of described interconnected electric power system, select suitable characteristic root algorithm respectively, can improve the efficient of calculating described characteristic root, thereby improve the control efficiency of the stable control method of whole described interconnected electric power system.
Step S102, whether the damping ratio of judging each described oscillation mode less than predetermined value, if less than described predetermined value, the damped control system of then selected described oscillation mode and the generating set relevant with described oscillation mode;
In this step, the described damping ratio of calculating in the step 1 can be compared with predetermined value, select the oscillation mode of underdamping ratio, described predetermined value can be set according to the actual motion needs of industry standard or electrical network, and requires damping ratio should be not less than 0.1 usually.
If the damping ratio of judging described oscillation mode in this step greater than described predetermined value, then do not adjust corresponding described oscillation mode under the parameter of each damped control system, begin from newly other oscillation modes being analyzed from step S101.
In this step; can further go the oscillation mode of selected analysis according to the electric network composition of described interconnected electric power system; for example; can be according to effect or the protection priority of generation area in described interconnected electric power system of the oscillation mode of described damping ratio correspondence, determine its whether oscillation mode of selective analysis.In the present embodiment, can preferentially select the oscillation mode that a group of planes is interior, unit is relevant with the power plant part, preferentially strengthen the damping ratio of these oscillation modes.
In this step, the damped control system of the selected generating set relevant with described oscillation mode can be the power system stabilizer, PSS and/or the relevant additional control system of high voltage direct current transmission of described oscillation mode of the generating set relevant with described oscillation mode, and perhaps other can regulate the damped control system of described oscillation mode damping ratio.Power system stabilizer, PSS and the additional control system of high voltage direct current transmission with generating set are example:
The model of typical case's power system stabilizer, PSS as shown in Figure 2, the transfer function of described power system stabilizer, PSS comprises: the inertial element of being made up of R, by constituting every straight link and the multistage lead-lag link be made up of phase compensation link time constant T1~T6 that time constant Tw forms, usually the additional multiplication factor Kp that controls and each time constant Ti (i=1,2,3 ... 6) can be by purpose being arranged, having the adjusting of direction ground to be optimized.
And the structure of the additional control system of the typical warbled high voltage direct current transmission of bilateral as shown in Figure 3, wherein: Δ ω R, Δ ω IBe respectively the little increment of rotating speed of rectification side, inversion side; K R, K IBe respectively the modulation gain of rectification side, inversion side; T R, T IBe respectively the Measuring Time constant of rectification side, inversion side; T RW, T IWBe respectively rectification side, inversion side every straight link time constant; T R1~T R6Be rectification side lead-lag phase compensation link time constant; T I1~T I6Be inversion side lead-lag phase compensation link time constant; P ModBe the warbled output of bilateral, as the power modulation amount input signal of direct current main control loop.
Therefore, described high voltage direct current transmission adds multiplication factor Kp and each time constant Ti that control system has additional control equally, can be by purpose being arranged, having the adjusting of direction ground to be optimized.
Step S103 carries out the conversion of rectangular coordinate system to polar coordinate system to the transfer function of selected described damped control system, calculates the mould value and the phase angle of its transfer function respectively;
In this step, the transfer function of selected relevant damped control system (as generating set PSS and the additional control system of high voltage direct current transmission etc.) is carried out the conversion of rectangular coordinate system to polar coordinate system, to realize the separation of transfer function modular angle two class variables.
Particularly, for arbitrary damped control system, its transfer function all can be reduced to following expression formula under rectangular coordinate system:
K · G ( s ) = K · Π i = 1 m ( 1 + s T i ) Π j = 1 n ( 1 + s T j )
Wherein, i=1,2,3...m; J=1,2,3...n; K is the multiplication factor of described transfer function, the time constant of the described transfer function of T.
By described transfer function being carried out the conversion of rectangular coordinate system to polar coordinate system, following formula can be decomposed into following phase angle equation and mould value equation:
θ = ∠ Π i = 1 m ( 1 + s T i ) - ∠ Π j = 1 n ( 1 + s T j )
K . | G ( s ) | = K · Π i = 1 m | ( 1 + s T i ) | Σ j = 1 n | ( 1 + s T j ) |
Wherein, θ is the phase angle of described transfer function, K.|G (s) | be the mould value of described transfer function.
By described transfer function being carried out the conversion of rectangular coordinate system to polar coordinate system, obtain phase angle equation and mould value equation, the mould value and the phase angle of the transfer function of this damped control system are separated, be about to the parameter of described damped control system, be divided into the relevant parameter of mould value and relevant parameter two classes of phase place according to its influence, be convenient to the independent studies analysis.After separating by modular angle, the described phase angle equation that obtains is applicable to that damping ratio finds the solution the sensitivity at phase angle, and described mould value equation then can be used for equivalent ac gain and finds the solution.
Step S104 according to the mould value of described transfer function, by equivalent ac gain method, regulates in the described damped control system and the corresponding multiplication factor of described mould value, keeps the constant of described transfer function ac gain;
This step promptly uses equivalent ac gain method to keep the ac gain of described transfer function to keep constant under relevant parameter change situation.
Described equivalent ac gain computing formula is:
Kp0×|G(s)0|=Kp1×|G(s)1|=.....=KpN×|G(s)N|
In the formula:
Kp0 is the initial multiplication factor of described damped control system under master oscillator frequenc;
Kp1 be described damped control system under master oscillator frequenc through the amended multiplication factor of the 1st subparameter;
KpN be described damped control system under master oscillator frequenc through the amended multiplication factor of N subparameter;
| G (s) 0| is the initial ac gain of described damped control system transfer function part under master oscillator frequenc;
| G (s) 1| is described damped control system is revised back transfer function part through the 1st subparameter under master oscillator frequenc a ac gain;
| G (s) N| is described damped control system is revised back transfer function part through the N subparameter under master oscillator frequenc a ac gain.
Handle by described equivalent ac gain, it is constant that the ac gain of the transfer function of described damped control system is kept under relevant parameter change situation, and the additional torque constant magnitude is provided to keep, and what obtain changing at this moment only is its phase place.
Step S105, phase changing capacity according to the transfer function of the characteristic root of each described oscillation mode and variation of damping ratio amount and described damped control system calculates the sensitivity of the damping ratio of each described oscillation mode with respect to the transfer function phase place of described damped control system;
For example in the typical model of above-mentioned PSS and the additional control system of high voltage direct current transmission, the only time constant can have influence on the transfer function phase place, and it also can influence the variation of amplitude simultaneously.
Therefore, in this step, calculate of the sensitivity of the damping ratio of each described concussion pattern according to following formula to the transfer function phase place of described damped control system:
∂ ξ ∂ θ = ∂ ξ ∂ σ · ∂ σ ∂ θ + ∂ ξ ∂ ω · ∂ ω ∂ θ
Wherein,
Figure BDA0000052379450000091
For the damping ratio of described oscillation mode with respect to the damping ratio of the transfer function phase place of described damped control system and the relative sensitivity of phase place;
ξ is the damping ratio of described oscillation mode;
θ is the phase place of the transfer function of described damped control system;
σ and ω are respectively the real part and the imaginary part of the characteristic root of described oscillation mode.
In the damped control system optimization method based on damping ratio and phase place relative sensitivity of the present invention, the damping ratio of described oscillation mode has clearly reflected the relation of influencing each other of the transfer function phase place of the damping ratio of each described oscillation mode and each described damped control system with respect to the sensitivity of the transfer function phase place of described damped control system, variation according to described sensitivity, promptly can adjust and described phase place corresponding parameter, thereby reach the purpose that changes the damping ratio under described each oscillation mode, very intuitive and convenient.
Step S106 according to the relative sensitivity size of damping ratio under each described oscillation mode and phase place, regulates in the corresponding described damped control system and phase place corresponding parameter transfer function, increases the damping ratio of described oscillation mode.
As a kind of optimal way, after step S105 finishes, if the damping ratio of the relevant oscillation mode of described interconnected electric power system to the sensitivity symbol of phase place by just becoming negative or becoming timing by negative, then explanation has reached the optimum angle compensation point, then finishes the parameter adjustment process to described power system stabilizer, PSS and/or the additional control system of high voltage direct current transmission.
In this step S106, according to the size indication of the relative sensitivity of the damping ratio of each described damped control system and phase place, the parameter that the phase place that purpose is arranged, has direction ground to regulate damped control systems such as corresponding power system stabilizer, PSS, the additional control of high voltage direct current transmission is correlated with.
As a kind of preferred implementation, the parameter relevant with phase place transfer function in the described damped control system comprises the time constant Ti in the described damped control system.
In one embodiment, particularly, if the relative sensitivity of damping ratio that in above-mentioned steps S105, calculates and phase place
Figure BDA0000052379450000092
Greater than 0, then the corresponding parameters of adjusting described damped control system according to the direction that increases phase place (for example: value time constant); If less than 0, then the corresponding parameters of adjusting described damped control system according to the direction that reduces phase place (for example: value time constant).
Repeating step S101-S106, calculate the damping ratio of described each described oscillation mode of interconnected electric power system respectively, analytical calculation obtains the level of sensitivity of the damping ratio-phase place of each described oscillation mode and carries out power system stabilizer, PSS, the additional control of high voltage direct current transmission waits the adjusting of the phase place relevant parameter of damped control system, make described power system stabilizer, PSS, the work of working in coordination of the additional control grade of high voltage direct current transmission damped control system, reach allocation optimum, can suppress low-frequency oscillation effectively, can not produce significant side effects again, for example significantly weaken the damping ratio of other oscillation mode.
As a kind of preferred implementation of the present invention, at execution in step S105, calculate to obtain after the relative sensitivity of described damping ratio and phase place, further carry out a relative sensitivity and whether adjudicate execution in step S106, the step of promptly carrying out parameter adjustment according to described damping ratio and phase place.
If the symbol of the described damping ratio that execution in step S105 calculating obtains and the relative sensitivity of phase place is by just becoming negative or just being become by negative, then explanation has reached the optimum angle compensation point, end is to the Parameter Optimization adjustment of damped control systems such as power system stabilizer, PSS, the additional control of high voltage direct current transmission, otherwise, execution in step S106.
As another kind of preferred implementation of the present invention, if the damping ratio of judging each described oscillation mode in step S102 is all greater than described predetermined value, think that then the damping ratio of all oscillation modes all meets the requirements, also can finish Parameter Optimization adjustment described damped control system.
Compared with prior art, the present invention is based on the damped control system optimization method of damping ratio and phase place relative sensitivity, be optimized based on the relative sensitivity of the modular angle separation theorem of transfer function, equivalent ac gain method and described damping ratio and phase place parameter to the damping ratio controller of described interconnected electric power system.
Use the system data and the trend of the flow calculation program (BPA) of present electric power system extensive use to calculate output, calculate the sensitivity index of the damping ratio of each oscillation mode respectively damped control system phase places such as power system stabilizer, PSS and the additional controls of high voltage direct current transmission.Be easy to analyze the parameter that draws damped control systems such as the additional control of each power system stabilizer, PSS and high voltage direct current transmission optimum phase compensation to each described oscillation mode damping ratio by contrast.The parameter that can determine to adjust which damped control system is the most effective to suppressing which oscillation mode.How clear and definite parameter changes optimum: in described damping ratio to the sensitivity of phase place greater than 0 o'clock, adjust corresponding parameter towards the direction that increases phase place and can increase damping ratio; In described damping ratio to the sensitivity of phase place less than 0 o'clock, adjust corresponding parameter towards the direction that reduces phase place and can increase damping ratio.Increase the damping ratio of this oscillation mode, help stabilizing vibration.Do not need to carry out the power system stabilizer, PSS of unit and the on-the-spot regulation experiment that high voltage direct current transmission adds damped control systems such as control, whether suitable, and adjust the effect that parameter can reach if just can predict and be evaluated at damped control systems such as this point described power system stabilizer, PSS of installation and the additional control of high voltage direct current transmission.The new method that this provides research, design and improved the electrical network dynamic stability for operation, scheduling, management, scientific research and design department, for the scheme of layouting, its parameter of design optimization of optimizing described power system stabilizer, PSS from overall angle, avoid damped control systems such as described power system stabilizer, PSS and the additional control of high voltage direct current transmission put into operation and parameter tuning on blindness new means are provided; Also with clearly defined objective a, adaptability is strong, practical and effective is optimized test method for the field optimizing regulation experiment provides.
Simultaneously, large-scale alternating current-direct current interconnected network is being carried out dynamic stability analysis and test constantly, use described damped control system optimization method based on damping ratio and phase place relative sensitivity, can wait in the damped control system in the additional control of a large amount of power system stabilizer, PSSs and high voltage direct current transmission, the direction that current adjust effect and the further parameter optimization of distinguishing each damped control system adjusted is increase or reduces; Avoided in large-scale interconnected electric power system the additional control system parameter of PSS and high voltage direct current transmission to try to gather with approximation method, can't global optimization, optimize these excellent those bad situations of effect.
Above-described embodiment of the present invention does not constitute the qualification to protection range of the present invention.Any modification of being done within the spirit and principles in the present invention, be equal to and replace and improvement etc., all should be included within the claim protection range of the present invention.

Claims (8)

1. the damped control system optimization method based on damping ratio and phase place relative sensitivity is characterized in that, may further comprise the steps:
Calculate the characteristic root and the damping ratio of each oscillation mode in the described alternating current-direct current interconnected electric power system;
Whether the damping ratio of judging each described oscillation mode less than predetermined value, if less than described predetermined value, and the damped control system of then selected described oscillation mode and the generating set relevant with described oscillation mode;
Transfer function to selected described damped control system is carried out the conversion of rectangular coordinate system to polar coordinate system, calculates the mould value and the phase angle of its transfer function respectively;
According to the mould value of described transfer function, by equivalent ac gain method, regulate in the described damped control system and the corresponding multiplication factor of described mould value, keep the constant of described transfer function ac gain;
Phase changing capacity according to the transfer function of the characteristic root of each described oscillation mode and variation of damping ratio amount and described damped control system calculates the sensitivity of the damping ratio of each described oscillation mode with respect to the transfer function phase place of described damped control system;
According to the damping ratio of each described oscillation mode level of sensitivity with respect to the transfer function phase place of described damped control system, regulate the relevant parameter of the phase place with transfer function in the corresponding described damped control system, increase the damping ratio under the described oscillation mode.
2. the damped control system optimization method based on damping ratio and phase place relative sensitivity as claimed in claim 1, it is characterized in that described damped control system comprises the power system stabilizer, PSS and/or the relevant additional control system of high voltage direct current transmission of described oscillation mode of the generating set relevant with described oscillation mode.
3. as claim 1 or 2 described damped control system optimization methods based on damping ratio and phase place relative sensitivity, it is characterized in that, calculate of the sensitivity of the damping ratio of each described oscillation mode according to following formula with respect to the transfer function phase place of described damped control system:
∂ ξ ∂ θ = ∂ ξ ∂ σ · ∂ σ ∂ θ + ∂ ξ ∂ ω · ∂ ω ∂ θ
Wherein,
Figure FDA0000052379440000012
Be the sensitivity of the damping ratio of described oscillation mode with respect to the transfer function phase place of described damped control system;
ξ is the damping ratio of described oscillation mode;
θ is the phase place of the transfer function of described damped control system;
σ and ω are respectively the real part and the imaginary part of the characteristic root of described oscillation mode.
4. the damped control system optimization method based on damping ratio and phase place relative sensitivity as claimed in claim 3, it is characterized in that, according to the damping ratio of each the described oscillation mode level of sensitivity with respect to the transfer function phase place of described damped control system, the step of regulating the relevant parameter of the phase place with transfer function in the corresponding described damped control system comprises:
If the damping ratio of described oscillation mode greater than 0, is then adjusted the value of the relevant parameter of the phase place with transfer function in the corresponding described damped control system with respect to the sensitivity of the transfer function phase place of described damped control system according to the direction that increases phase place; If the damping ratio of described oscillation mode less than 0, is then adjusted the value of the relevant parameter of the phase place with transfer function in the corresponding described damped control system with respect to the sensitivity of the transfer function phase place of described damped control system according to the direction that reduces phase place.
5. as claim 1 or 2 described damped control system optimization methods, it is characterized in that the characteristic root of each oscillation mode and the step of damping ratio comprise in the described alternating current-direct current interconnected electric power system of described calculating based on damping ratio and phase place relative sensitivity:
From the system data file dat of the flow calculation program of described alternating current-direct current interconnected electric power system and transient stability analysis data file swi, read the original flow data of described alternating current-direct current interconnected electric power system;
From the calculation of tidal current file pfo of described flow calculation program, read the calculation of tidal current data of described each oscillation mode of alternating current-direct current interconnected electric power system;
It is calculated that the characteristic root of described alternating current-direct current interconnected electric power system according to the stability number of described original flow data, described calculation of tidal current data and described alternating current-direct current interconnected electric power system, obtain the damping ratio of described alternating current-direct current interconnected electric power system under the oscillation mode of correspondence.
6. as claim 1 or 2 described damped control system optimization methods based on damping ratio and phase place relative sensitivity, it is characterized in that: the parameter relevant with phase place transfer function in the described damped control system comprises the time constant in the described damped control system.
7. as claim 1 or 2 described damped control system optimization methods based on damping ratio and phase place relative sensitivity, it is characterized in that, if the damping ratio of judging each described oscillation mode then finishes the parameter optimization to described damped control system all greater than described predetermined value.
8. as claim 1 or 2 described damped control system optimization methods based on damping ratio and phase place relative sensitivity, it is characterized in that, after calculating the sensitivity of damping ratio that obtains described oscillation mode, further carry out following steps with respect to the transfer function phase place of described damped control system:
Judge the symbol of the damping ratio of described oscillation mode with respect to the sensitivity of the transfer function phase place of described damped control system, if the damping ratio of described oscillation mode by just becoming negative or becoming timing by negative, then finishes the parameter optimization of corresponding described damped control system with respect to the symbol of the sensitivity of the transfer function phase place of described damped control system.
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