CN107579519B - A kind of AC-DC hybrid power grid robust optimal control method considering multimode switching - Google Patents
A kind of AC-DC hybrid power grid robust optimal control method considering multimode switching Download PDFInfo
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Abstract
The invention discloses a kind of AC-DC hybrid power grid robust optimal control methods of consideration multimode switching, comprising: defines the state coordinate system of alternating current-direct current multizone parallel system;Input signal is controlled based on practical, define virtual controlling rule, and then according to Equivalent damping coefficient under equivalent damping error and external interference coefficient, direct current system systematic error and external interference coefficient, uncertain random disturbances, inertia centre coordinate, the inertia center multimode Markov block of state of entire ac and dc systems is obtained;Uncertain random disturbances are replaced using the Lie derivatives of the Lyapunov function of inertia center multimode Markov block of state, obtain the supplementary module of inertia center multimode Markov block of state;When supplementary module Asymptotic stabilization in probability, target control rule is obtained, is restrained to obtain practical control input signal according to target control, realizes that AC-DC hybrid power grid robust optimal is run using practical control input signal.The present invention improves system robust stability, realizes that system performance is optimal.
Description
Technical field
Stablize the invention belongs to AC-DC hybrid power grid and optimizes progress control method research field, more particularly, to
A kind of AC-DC hybrid power grid robust optimal control method considering multimode switching.
Background technique
The distinguishing feature of contrary distribution is presented in China's energy resources and energy demand: the resources such as coal, water energy, scene are main
West area is concentrated on, occupation rate has reached 80% or more;And central and east provinces and cities are economically developed and population concentration, energy consumption
More than the 75% of the whole nation.Since direct current transportation has, conveying distance is remote, transmission capacity is big, loss is low, converter station occupied area is small
The features such as, especially for the electrical energy transportation of remote large capacity, there is significant advantage.Since at the end of the 20th century, China is successively
The more times remote DC transmission engineerings of large capacity have been built, current diversified AC-DC hybrid power grid framework has been gradually formed,
Designing, there is the D.C. high voltage transmission additional controller of robustness and Global Optimality can significantly improve alternating current-direct current combined hybrid system
The stability of operation.Electric system shows continuous time dynamic in the process of running and mixes with what discrete multimode interacted
Characteristic, and the traditional modeling method based on the fixed operating condition of system can not cover the operating status of system comprehensively.Therefore, research considers
The AC-DC hybrid power grid robust optimal control method of multimode switching has great importance.
With the rapid development of high voltage dc transmission technology worldwide, AC-DC hybrid power grid stable control method
From initial proportional, integral type, the novel control with differential geometry feedback linearization method, variable-structure control etc. for representative is developed to
Method processed.However above-mentioned control method is based on fixed operating condition and models to system, can not cover the operation of system comprehensively
State, the control strategy of consideration system parameter perturbation is still only for system typical condition, still when system state change is excessive
It can not control effectively, or even system deterioration can be aggravated.It is cut since stochastic regime can occur in the process of running for electric system
It changes, thus electric system has the hybrid characters of continuous time dynamic and the interaction of discrete multimode, the former is system
Continuous physical state is described by derivative module and algebra module, and the latter is the handoff parameter for characterizing system running state, tool
There is certain stochastic behaviour.
It can be seen that the prior art, which exists, can not cover the operating status of system, when system state change is excessive comprehensively
The technical issues of can not still controling effectively, or even system deterioration can be aggravated.
Summary of the invention
Aiming at the above defects or improvement requirements of the prior art, the present invention provides a kind of friendship of consideration multimode switching is straight
Flow serial-parallel power grid robust optimal control method, thus solve the prior art exist can not cover comprehensively system operating status, when
The technical issues of can not still controling effectively when system state change is excessive, or even system deterioration can be aggravated.
To achieve the above object, the present invention provides a kind of AC-DC hybrid power grid robust optimals of consideration multimode switching
Control method, comprising:
(1) according to the difference δ of region A and region B generator inertia center rotor angleCOI, AB, region A and region B inertia center
The difference ω of rotor angular frequencyCOI, AB, region A prime mover overall mechanical powerRegion B prime mover overall mechanical powerRegion A
Local loadThe region local B loadFrom region, A is sent into the power in other regionsWith from other region feeding areas
The power of domain BDefine the state coordinate system ξ of alternating current-direct current multizone parallel system(i);
(2) based on practical control input signal, virtual controlling rule is defined, and then according to equivalent damping error and external interference
Coefficient εD, direct current system systematic error and external interference coefficient εP, uncertain random disturbances d, equivalent damping under inertia centre coordinate
Coefficient θ obtains the inertia center multimode Markov block of state of entire ac and dc systems;
(3) using the Lie derivatives of the Lyapunov function of inertia center multimode Markov block of state replace it is uncertain with
Machine interference, obtains the supplementary module of inertia center multimode Markov block of state;According to it is inverse it is optimal it is counter push away control, when assisting mould
Block Asymptotic stabilization in probability obtains target control rule, is restrained to obtain practical control input signal according to target control, utilize practical control
Input signal processed realizes the operation of AC-DC hybrid power grid robust optimal.
Further, the state coordinate system ξ of alternating current-direct current multizone parallel system(i)Are as follows:
Wherein,Indicate that the inertia center equivalence balance generator rotor angle of systematic steady state time domain generator is poor, ωsFor generator
Synchronous angular velocity,For alternating current circuit transmission power,For the size of DC line transmission power,For turning for region A
Dynamic inertia,For the rotary inertia of region B.
Further, virtual controlling is restrained are as follows:
Wherein, v is virtual controlling rule, PdcrefFor DC reference power, udcInput signal, T are controlled to be practicaldFor direct current system
System inertia time constant.
Further, inertia center multimode Markov block of state are as follows:
Wherein,
Further, supplementary module are as follows:
Wherein,It is Lyapunov function, μ is any normal number,For Lie derivatives.
Further, target control rule is equal with virtual controlling rule, the target control rule are as follows:β
>=2, wherein v*For target control rule, R is the function for making supplementary module Asymptotic stabilization in probability,For the progress of state coordinate system
Quantity of state after coordinate transform.
In general, through the invention it is contemplated above technical scheme is compared with the prior art, have below beneficial to effect
Fruit:
The invention proposes a kind of based on multimode Markov module and the inverse optimal anti-alternating current-direct current combined hybrid system for pushing away control
Robust optimal control method.In order to reflect the different operating statuses of multizone alternating current-direct current combined hybrid system, alternating current-direct current mixed connection is established
The multimode Markov module of system;On this basis, it proposes the inverse of alternating current-direct current mixed connection Markov module and optimal counter pushes away control
(Markov inverse optimal control, MIOC), this method converts Optimal Control Problems of Nonlinear Systems to gradually
The Solve problems of nearly stability contorting rule, can not only ensure the robust stability of system under random perturbation, also solve with non-
The system global optimization problem of linear characteristic realizes the alternating current-direct current combined hybrid system robust optimal operation comprising more operating statuses.
Detailed description of the invention
Fig. 1 is AC/DC parallel multizone system structure chart provided in an embodiment of the present invention;
Fig. 2 is that the alternating current-direct current combined hybrid system robust optimal control of consideration multimode switching provided in an embodiment of the present invention is implemented
Schematic diagram;
Fig. 3 is that double-fed provided in an embodiment of the present invention enters alternating current-direct current combined hybrid system schematic diagram;
Fig. 4 is systematic state transfer process provided in an embodiment of the present invention;
Fig. 5 is that the relative rotation of generator G1 and G5 under various control methods provided in an embodiment of the present invention are poor;
Fig. 6 is 1 both ends COI relative angle difference on the frequency of alternating current circuit under various control methods provided in an embodiment of the present invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.As long as in addition, technical characteristic involved in the various embodiments of the present invention described below
Not constituting a conflict with each other can be combined with each other.
A kind of AC-DC hybrid power grid robust optimal control method considering multimode switching, includes the following steps:
1) as shown in Figure 1, according to the difference δ of region A and region B generator inertia center rotor angleCOI, AB, region A and region
The difference ω of B inertia center rotor angular frequencyCOI, AB, region A prime mover overall mechanical powerRegion B prime mover overall mechanical powerThe region local A loadThe region local B loadFrom region, A is sent into the power in other regionsWith from other
The power of region feeding region BDefine the state coordinate system ξ of alternating current-direct current multizone parallel system(i)Are as follows:
In formula,
Wherein, δCOI, AB=δCOI, A-δCOI, BFor the difference at two regional generation machine inertia center rotor angles,Expression system is steady
The inertia center equivalence balance generator rotor angle of state time domain generator is poor, ωCOI, AB=ωCOI, A-ωCOI, BTurn for two region inertia centers
The difference of sub- angular frequency, ωs=2 π f are generator synchronous angular velocity.In the inertia for indicating systematic steady state time domain generator
Heart equivalence balance generator rotor angle is poor, ωsFor generator synchronous angular velocity,For alternating current circuit transmission power,It is defeated for DC line
The size of power is sent,For the rotary inertia of region A,For the rotary inertia of region B.
In view of the variation of generator output, load power and grid structure in system operation, system can be caused
Structure and parameter jumps, and converts between different operating statuses so as to cause the block of state of system.Conversion rule is by one
It is a time-domain [0 ,+∞) on the set { r (t) } that defines determine that { r (t) } is in finite aggregate s={ 1 ..., N } interior value
Markov process, transition probability PijAre as follows:
In formula, dt meets limdt→0O (dt)/dt=0 (dt > 0), γijIt is in state i in t moment for system, at (t+d)
Moment takes the transfer rate of state j, and satisfaction has free positionTherefore, formula (1)
In operating status r (t)=i for being presently in of subscript (i) expression system.
2) based on practical control input signal, defining virtual controlling rule is
In formula, PdcrefFor DC reference power, udcInput signal, T are controlled to be practicaldIt is normal for direct current system inertia time
Number.
3) the inertia center multimode Markov block of state of entire ac and dc systems further, is obtained are as follows:
In formula,It indicates to ξ2 (i)It differentiates, With seasonεDIt is dry for equivalent damping error and the external world
Disturb coefficient, εPFor direct current system systematic error and external interference coefficient, d is uncertain random disturbances, and θ is inertia center (COI)
Equivalent damping coefficient under coordinate is unknown parameter.In system above modeling, having comprehensively considered may in system operation
The variation of system structure caused by the random jump of generation and parameter, while having also contemplated system parameter error, external interference
Etc. uncertain disturbances.
4) supplementary module below in relation to inertia center multimode Markov block of state is provided:
WhereinIt is a Lyapunov function of the system, μ is any normal number,For Lie derivatives, indicateVirtual controlling restrains v if it exists:
It can make supplementary module Asymptotic stabilization in probability, then v* is restrained in target control
Cost functional (8) can be minimized, to solve the problems, such as the inverse optimal control of original system.
WhereinFor positive definite compensation term, γ is the positive definite punishment weight for interfering d.Pass through foundation
Supplementary module converts the inverse optimal control problem of original system to the stable control of auxiliary system, can thus control
Under the frame of Lyapunov function processed, the optimal control problem of original system is studied.Be given below according to it is inverse it is optimal it is counter push away control, ask
The step of solving target control rule v*.
5) following coordinate transform is used:
With the Lyapunov function of supplementary module:
In formula,For smooth function undetermined, and enable It is the dynamic estimation value to unknown parameter θ,For the evaluated error of parameter θ.Weak infinitesimal operators is sought to the Lyapunov function to obtain:
6) middle control variable is enabledWithMeet
WhereinDefining smooth function φ meets following item simultaneously
Part:
Further, have using average inequality
Wherein Φ1=Φ3=φ,
7) it negates and pushes away control parameter α1、α2Are as follows:
Adaptive control laws are taken asAnd virtual controlling rule v is taken asIts
In
Substituting into (14) can obtain:
Wherein
8) further, Stationary Distribution π={ π based on Markov process1..., πN, using mathematic expectaion to weak infinitesimal
Operator further constrains, with the state coupling terms in cancelling (16).To weak infinitesimal operatorsTake mathematic expectaion
:
Wherein
Take parameter c1, c2, c3Value meet condition are as follows:
Due to c1, c2, c3Value meets condition (18), then Δ E > 0, therefore
Enable ρ=θ2/ (2c) > 0, then formula (17) meets with lower inequality:
0≤EV≤ρ+[V(0)-ρ]e-ct (20)
It can be seen that as time t → ∞, V is by exponential damping to ρ, therefore ξ is also ultimately uniform boundary, therefore assists system
The Asymptotic stabilization in probability united on (5) realization Lyapunov Meaning.According to formula (7), target control rule can be obtained:
Solve the inverse optimal control problem of original system.
In order to verify a kind of AC-DC hybrid power grid robust optimal control side for considering multimode switching proposed by the present invention
The validity of method has built two feed-ins alternating current-direct current combined hybrid system shown in Fig. 3 in PSCAD and has gone forward side by side Mobile state emulation testing, right
Than itself and the system response curve under no additional control, pole-assignment (Pole Placement Method, PPM), to test
Demonstrate,prove the validity of proposition method of the present invention.In Fig. 3, generator uses simple excitation model using time transient Model, excitation system,
Each generator does not install power system stabilizer, PSS additional;Direct current system uses detailed electromagnetic transient simulation model, and direct current system is using double
The pole neutral ground method of operation, equivalent time constant are taken as Td=0.1s;Load uses constant-impedance model.Initial steady state fortune
Under row operating condition, AC line voltage ± 800kV, transimission power 5000MW;AC line voltage 500kV, transimission power 2000MW.
In the present invention, alternating current-direct current combined hybrid system working condition variation consideration system grid structure variation, load power fluctuation with
And the power output variation of generator, the variation of these system conditions are processed into the Markov mistake with 4 states in modeling
Journey (s={ 1,2,3,4 }), it may be assumed that state 1: system operates normally, i.e., generator output, load power are rated value, system rack
Structure does not change;State 2: system grid structure changes;State 3: system loading power changes;State 4: hair
Motor power output changes.Assuming that the stationary binomial random process that system runs on each state is π1=0.91, πp=0.03, and electric power
The outage rate of each equipment of system is taken as λ2=γ12=0.002, λ3=γ13=0.001, λ4=γ14=0.001, each equipment is repaired
Multiple rate is γ21=γ31=γ41=0.1.The other elements of Markov state-transition matrix are unknown, therefore are set as 0.To multimode
The state migration procedure of Markov system is simulated, and the change procedure in system 30s is as shown in Figure 4.
Two feedthrough systems in Fig. 3 are carried out with Markov process dynamic simulation as shown in Figure 4, wherein system is before 0s
State 1 is run on always, and each improper carrying out practically state of system and runing time are respectively as follows:
State 2: three-phase metallic earthing short trouble occurs for certain line end in alternating current circuit 1, and excision should after 0.2s
Route (when 0s);
State 3: system integral load power is 75% (when 8s) by 100% jump;
State 4: generator G2 (when 18s) out of service.
It is 0.5s that wherein system, which is in each abnormal running mode time,.Generator G1 and G5 under different controller actions
Poor, AC/DC route 1 the COI inertia center angular frequency difference of relative rotation response curve it is as shown in Figure 5 and Figure 6.It is tied by emulation
Fruit can be seen that the relative rotation difference of generator and COI angular frequency difference is lost in the short time in no subjoining DC control
Surely, therefore here former seconds response curves are only gived.And traditional pole-assignment and MIOC proposed in this paper control plan
The dynamic response performance of system can slightly be improved, but improvement is not quite similar.When in face of the mutation of different operating conditions, system hair
The overshoot of raw oscillation is inhibited rapidly under the control of MIOC than traditional pole-assignment, and system recovery stable state when
Between also further reduce, if system is in 8-18s, the relative rotation difference overshoot of generator G1 and G5 under traditional pole placement control
Amount has been more than 0.6rad, and 1 both ends COI relative angle difference on the frequency overshoot of alternating current circuit has then been more than 0.012pu (0.6Hz), and is passed through
It crosses and just starts to reduce amplitude after repeatedly waving;And when using MIOC, relative rotation difference overshoot is only less than 0.5rad, relative angle
Difference on the frequency overshoot be even more be lower than 0.004pu (0.2Hz), system performance index be improved significantly.When system conditions are sent out
It is raw to change (a certain route is because ground short circuit failure is out of service in alternating current circuit 1) and third time variation (generator for the first time
G2 is out of service) when, the relative rotation difference of generator and the vibration of route relative angle difference on the frequency can be also obviously reduced in MIOC control
Overshoot is swung, system oscillation is quickly calmed down.It can be seen that MIOC control can effectively reflect system multimode process, so as to improve
The dynamic regulation performance of system, simulation result have absolutely proved the validity of MIOC strategy.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include
Within protection scope of the present invention.
Claims (6)
1. a kind of AC-DC hybrid power grid robust optimal control method for considering multimode switching characterized by comprising
(1) according to the difference δ of region A and region B generator inertia center rotor angleCOI,AB, region A and region B inertia center rotor
The difference ω of angular frequencyCOI,AB, region A prime mover overall mechanical powerRegion B prime mover overall mechanical powerRegion A is local
LoadThe region local B loadFrom region, A is sent into the power in other regionsRegion B is sent into from other regions
PowerDefine the state coordinate system ξ of alternating current-direct current multizone parallel system(i);
(2) based on practical control input signal, virtual controlling rule is defined, and then according to equivalent damping error and external interference coefficient
εD, direct current system systematic error and external interference coefficient εP, uncertain random disturbances d, Equivalent damping coefficient under inertia centre coordinate
θ obtains the inertia center multimode Markov block of state of entire ac and dc systems;
(3) it is replaced using the Lie derivatives of the Lyapunov function of inertia center multimode Markov block of state uncertain random dry
It disturbs, obtains the supplementary module of inertia center multimode Markov block of state;According to it is inverse it is optimal it is counter push away control, when supplementary module according to
Probability Asymptotic Stability obtains target control rule, is restrained to obtain practical control input signal according to target control, defeated using practical control
Enter signal and realizes the operation of AC-DC hybrid power grid robust optimal;
Operating status r (t)=i that subscript (i) expression system is presently in.
2. a kind of AC-DC hybrid power grid robust optimal control method for considering multimode switching as described in claim 1,
It is characterized in that, the state coordinate system ξ of the alternating current-direct current multizone parallel system(i)Are as follows:
Wherein,Indicate that the inertia center equivalence balance generator rotor angle of systematic steady state time domain generator is poor, ωsIt is synchronous for generator
Angular speed,For alternating current circuit transmission power,For the size of DC line transmission power,For the rotation of region A
Inertia,For the rotary inertia of region B.
3. a kind of AC-DC hybrid power grid robust optimal control method for considering multimode switching as claimed in claim 2,
It is characterized in that, the virtual controlling rule are as follows:
Wherein, v is virtual controlling rule, PdcrefFor DC reference power, udcInput signal, T are controlled to be practicaldIt is used for direct current system
Property time constant.
4. a kind of AC-DC hybrid power grid robust optimal control method for considering multimode switching as claimed in claim 3,
It is characterized in that, the inertia center multimode Markov block of state are as follows:
Wherein,g2=[0,0,1]T,
5. a kind of AC-DC hybrid power grid robust optimal control method for considering multimode switching as claimed in claim 4,
It is characterized in that, the supplementary module are as follows:
Wherein,It is Lyapunov function, μ is any normal number,For Lie derivatives,It is the dynamic estimation to θ
Value.
6. the AC-DC hybrid power grid robust optimal control that a kind of consideration multimode as described in claim 1-5 any one switches
Method processed, which is characterized in that the target control rule is equal with virtual controlling rule, the target control rule are as follows:β >=2, wherein v*For target control rule, R is the function for making supplementary module Asymptotic stabilization in probability,
Quantity of state after being coordinately transformed for state coordinate system.
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