CN108733910A - A method of realizing POWER SYSTEM STATE equation automatic deduction - Google Patents
A method of realizing POWER SYSTEM STATE equation automatic deduction Download PDFInfo
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Abstract
The invention discloses a kind of methods for realizing POWER SYSTEM STATE equation automatic deduction, are related to electric system Small signal stability analysis technical field.The method, using that can identify that the join algorithm of each single order link universal model connects each single order link universal model, simplifies the derivation of state equation and output equation by the way that high-order link is converted into multiple single order link universal models；Simultaneously, single order link universal model, high-order link universal model and join algorithm can be write and be stored by computer program, once completing the programming of join algorithm and common single order link universal model, these join algorithm and common single order link universal model can be reused, the automatic deduction of distinct device state equation is carried out；When there is new equipment in system, without deriving again manually, existing single order link universal model, high-order link universal model and join algorithm can equally be utilized to complete the automatic deduction of its state equation.
Description
Technical field
The invention belongs to the small interference of electric system Small signal stability analysis technical field more particularly to a kind of electric system is steady
The automatic deduction method of each equipment state equation in setting analysis.
Background technology
It is continuously improved with the complexity of electric system, the access of especially extensive novel energy, power electronic element
Hypersynchronous and extensive trans-regional long distance powedr transmission increase, lead to Study of Power System Small Disturbance problem, especially thus spread out
The low-frequency oscillation of electric power system that bears, sub-synchronous oscillation problem, are paid attention to by electric system researcher further.
Study of Power System Small Disturbance analysis theories are established on the basis of dynamical system Method of Stability Analysis, its basic thought
It is in the way of each element model in electric system and basic parameter, to construct the differential equation and the generation of whole system
Number equation.According to Liapunov First Law, linearize the differential equation and algebraic equation to obtain the state side of whole system
Journey is finally analyzed according to the characteristic root of state matrix in state equation to judge the small signal stability of system.
Dynamic device for the small interference analysis modeling of electric system generally has：Generator, magnetizing exciter, power system stability
Device (Power System Stabilizer, PSS), prime mover, governor etc..Constitute the dynamic variable of their state equations
Referred to as state variable, remaining variables are known as algebraic variable, and general device has its fixed state variable and its state equation.So
And when the equipment that electric system is related to is more, the model of equipment is wide, and when equipment operates in different conditions because parameters default leads to it
Link increases and decreases, and causes state variable quantity uncertain, and state equation also changes therewith.Therefore, it is necessary to be directed to distinct device, same
The different model of one equipment, the different operating conditions of same equipment can obtain best suiting actual conditions to derive state equation
POWER SYSTEM STATE equation.
All the time, the method for obtaining equipment state equation in electric system is directly pushed away by hand according to the block diagram of equipment
It leads, the slave system block diagram that basic skills refers to Zhu Xiyan propositions directly seeks state equation；In the publication, first, biography
Delivery function turns to each Dynamic mode only form containing integral element, and the coefficient of integral element is turned to 1；Then, exist
The exit of each integral element sets a state variable, from the block diagram of equipment each state variable of the equipment and
The relationship of other link state variables and algebraic variable, writes out the equation between them, and abbreviation arranges, you can writes out the equipment
State equation.When there are when the integral element of high-order, then need to be broken down into multiple independent integral element connection in series-parallel for system
The case where, in the block diagram before being included in, then with the method for observation their state equation is write out according to connection type.Hand
The method of work is simply direct, for only having the equipment block scheme of several state variables that can acquire its state equation easily, still
For existing compared with the large-scale block diagram for connecting complexity between multi-state variable, high step integration link, links, manual derivation method
It is complicated for operation, and easily make mistakes.When being related to multiple models, multiple models and multiple operation conditions, this method needs
Machinery repeats, and is repeatedly derived according to actual conditions, inefficiency.
The novel device being continuously added in face of electric system, the model of existing equipment and its simple state equation can not expire
The needs of the small interference analysis of foot nowadays electric system.And carry out high-order state equation derive, especially face high-volume equipment,
In the case of polytypic, more operation conditions, the time-consuming and laborious and error rate of original derivation is high, does not adapt to current electric system
Development.Therefore, in today of computerization, become using the state equation of computer derivation power equipment with a set of algorithm
One very significant thing.
Invention content
In view of the deficiencies of the prior art, the present invention provides a kind of method for realizing POWER SYSTEM STATE equation automatic deduction,
This method proposes to indicate the general Link Model of all link state equations and output equation, and common single order link is converted
For universal model；Based on the universal model, then a set of algorithm for making general link be connected is write, which can identify general
Model connects inverted each link universal model of good equipment, just according to the connection of equipment block scheme using the algorithm
The state equation and output equation of the equipment can be calculated.
The present invention is to solve above-mentioned technical problem by the following technical solutions：A kind of realization POWER SYSTEM STATE side
The method of journey automatic deduction, including following steps：
(1) equipment is often converted into single order link universal model with single order link, calculates the single order link universal model
State equation and output equation, and its state equation and output equation are programmed, are stored；
(2) derive and write the join algorithm of single order link universal model；
(3) when there are high-order link, the single order link universal model derived using the step (1) constructs high-order
Link universal model, calculates the state equation and output equation of the high-order link universal model, and to its state equation and defeated
Go out equation to be programmed；To common high-order link, the corresponding state equation of high-order link universal model and output equation are compiled
Journey, storage；
(4) it according to the abbreviation of equipment transmission function block diagram sequence, is sequentially connected by the join algorithm of the step (2)
Each block diagram, automatic deduction go out the state equation of the equipment；
(5) it when having novel device or other model block diagrams of equipment, repeats step (3) (4) and derives novel device or be somebody's turn to do
The state equation of other models of equipment.
Further, the state equation of step (1) the single order link universal model and output equation use following form
It indicates：
Px=Ax+Bu
Y=Cx+Du
Wherein, p indicates that differential operator, x indicate state variable；U indicates that input variable, y indicate that output variable, A indicate shape
State matrix, B indicate that input matrix, C indicate that output matrix, D indicate feedforward matrix.The state equation and output equation can indicate
The state equation and output equation of all links.
Further, the computational methods of state matrix A, input matrix B, output matrix C and feedforward matrix D are：It will be normal
The transmission function form of corresponding single order link universal model is converted to the transmission function of single order link, it is logical further according to single order link
With model state equation and output equation, A, B, C, D are determined with the method for undetermined coefficients.
Further, the transmission function form of the single order link universal model is indicated using following form：
Or
Wherein, G (s) indicates transmission function, A, B, C, D be respectively state matrix in original state equation and output equation,
Input matrix, output matrix and feedforward matrix.
Further, the step (2) is to carry out single order link universal model after determining condition of contact according to connection type
The derivation of join algorithm, if single order link universal model at least there are two, respectively single order link universal model one and single order ring
Universal model two is saved, the definition of connection type and its condition of contact are：
(2.1) it connects：The output end of single order link universal model one is connected to the input of single order link universal model two
End；Its condition of contact is the output variable y of single order link universal model one1Equal to the input variable of single order link universal model two
u2；
(2.2) phase opposite sign is taken：The output variable y of single order link universal model one1It is inputted for single order link universal model two
Variable u1Opposite number, condition of contact y1=-ku1；
(2.3) addition input：Single order link universal model one increases an input signal, and it is u to enable former input variable1, add
It is u to add input variable2, condition of contact is new input variable u1'=u1+u2；
(2.4) feedback link：By two single order link universal models by two amplification factors be p12iAnd p21iRatio is put
Big link joins end to end, if the input variable and output variable of single order link universal model one are respectively u before connection1And y1, single order
The input variable and output variable of link universal model two are respectively u2And y2；External signal ur1It is p by amplification factor1iRatio
Example amplifying element input signal is to single order link universal model one, external signal ur2It is p by amplification factor2iRatio enlargement
Link input signal is to single order link universal model two；The output signal of single order link universal model one is p by amplification factor1o
Ratio enlargement link output be yr1, the output signal of single order link universal model two is p by amplification factor2oRatio put
Big link exports yr2；Its condition of contact is the new input variable u of single order link universal model one1'=p1iur1+p21iy2, single order ring
Save the new input variable u of universal model two2'=p2iur2+p12iy1；The output variable y of entire reponse systemr1=P1oy1, yr2=
P2oy2。
Above four connection types are the common connection type of equipment block scheme, other connection types and condition of contact can be with
It similarly derives, computer programming is used in combination to realize.
Further, it is to split into high-order link more to the building method of the step (3) high-order link universal model
The form that a single order link is connected utilizes the connection of the step (2) then according to the split single order link order of connection
Multiple single order link universal models are connected and constitute high-order link Universal Die by algorithm and corresponding single order link universal model
Type.If high-order link is more complicated, the transmission function in its block diagram can be utilized to derive, but the link in block diagram is general
It is relatively low, be not in the link of higher-order.
Further, for the step (4) abbreviation sequence, if presence signal is intersected in block diagram, first movable signal
Summing point, leading point cancellation signal are intersected, then utilize the single order link universal model that the step (2) and (3) have derived with
High-order link universal model, according to from inner looping to the sequence of external loop piecemeal gradually abbreviation, using join algorithm by each ring
Section links together, and ultimately generates the state equation of the equipment.
With in the prior art, each state variable relationship is listed by observation device block diagram manually, then derive and do well
The manual derivation method of equation, a kind of method for realizing POWER SYSTEM STATE equation automatic deduction proposed by the present invention, pass through by
High-order link is converted into multiple single order link universal models, recycles the join algorithm that can identify each single order link universal model
Each single order link universal model is connected, the derivation of state equation and output equation is simplified；Meanwhile single order link is general
Model, high-order link universal model and join algorithm can be write and be stored by computer program, once the company of completion
Connect the programming of algorithm and common single order link universal model, it will be able to reuse these join algorithm and common single order link is logical
With model, the automatic deduction of distinct device state equation is carried out；When there is new equipment in system, without deriving again manually, together
Sample can complete its state equation using existing single order link universal model, high-order link universal model and join algorithm
Automatic deduction；
The method of the present invention has the advantages that efficient, highly reliable, favorable expandability, facilitates large-scale calculations.When in face of working as
The case where modern Electrical Power System Dynamic device category is more, operating condition is complicated and novel electric power electric equipment is largely put into, calculate
Machine program is the effective tool for the state equation automatic deduction for realizing large-scale electrical power system, and it is small dry that it to write electric system
Stability Calculation is disturbed to greatly improve with the efficiency and accuracy for analyzing program.
Description of the drawings
It, below will be to attached drawing needed in embodiment description in order to illustrate more clearly of technical scheme of the present invention
It is briefly described, it should be apparent that, the accompanying drawings in the following description is only one embodiment of the present of invention, general for this field
For logical technical staff, without creative efforts, other drawings may also be obtained based on these drawings.
Fig. 1 is the present embodiment single order link universal model block diagram；
Fig. 2 is that two link universal models of the present embodiment are connected in series with block diagram；
Fig. 3 is the present embodiment single order link universal model addition input block diagram；
Fig. 4 is the present embodiment universal model feedback link block diagram；
Fig. 5 is the present embodiment IEEE DC1A direct-current exciter exemplary block diagrams.
Specific implementation mode
With reference to the attached drawing in the embodiment of the present invention, the technical solution in the present invention is clearly and completely described,
Obviously, described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based in the present invention
Embodiment, the every other embodiment that those of ordinary skill in the art are obtained under the premise of not making creative work,
It shall fall within the protection scope of the present invention.
A kind of method for realizing POWER SYSTEM STATE equation automatic deduction provided by the present invention, including following step
Suddenly：
(1) equipment is often converted into single order link universal model with single order link, calculates the single order link universal model
State equation and output equation, and its state equation and output equation are programmed, are stored.
The state equation and output equation of step (1) single order link universal model are indicated using following form：
Wherein, p indicates that differential operator, x indicate state variable；U indicates that input variable, y indicate that output variable, A indicate shape
State matrix, B indicate that input matrix, C indicate that output matrix, D indicate feedforward matrix；And with following symbolic indication variable number：
nst：State variable number；nin：Input variable number；nout：Output variable number.
From the foregoing, it will be observed that matrix A is nst×nstThe square formation of dimension, matrix B nst×ninThe matrix of dimension, Matrix C nout
×nstThe matrix of dimension, matrix D nout×ninThe matrix of dimension.
State matrix A, input matrix B, output matrix C and feedforward matrix D computational methods be：By common single order link
Transmission function be converted to the block diagram and transmission function form (as shown in Figure 1) of corresponding single order link universal model, further according to
Single order link universal model state equation and output equation (formula (1)), A, B, C, D related coefficient square are determined with the method for undetermined coefficients
Battle array.
The transmission function of block diagram according to figure 1, single order link universal model is indicated using following form：
Other single order links can be converted to single order link universal model form using formula (2)：By all common single orders
The transmission function of link turns to the transmission function form of single order link universal model, its state equation is found out with the method for undetermined coefficients
Coefficient expressions, and in the state equation program storage to computer that coefficient is determined.
For example, for delay component, transmission function is：
The transmission function form for being turned to universal model is：
Formula (4) and formula (2) are compared, the coefficient in corresponding universal model is obtainedD=0 can be enabledC=K obtains delay component generic state equation and output equation form：
It is corresponding：nst=1, nin=1, nout=1.
Alternatively, it is also possible to enableC=1 obtains another state equation and output equation shape of the delay component
Formula：
This variation has no effect on end-state formulation character value result.
When block diagram ignores the delay component that original possesses, the parameter T of the link is zero or default, at this time its state
Equation is：
Y=Ku (7)
Then corresponding A, B, C are empty matrix, D=K, corresponding nst=0, nin=1, nout=1.
For lead-lag link, transmission function is：
Transformation obtains the transmission function form of its universal model：
Through-beam Series (2) have：It can then enable： Obtain the universal model state equation and output equation form of lead-lag link：
It is corresponding：nst=1, nin=1, nout=1.
When block diagram ignores the lead-lag link that original possesses, the parameter T of the linknAnd TdIt is simultaneously zero, this
When its state equation and output equation be：
Y=Ku (11)
Then corresponding A, B, C are empty matrix, D=K, corresponding nst=0, nin=1, nout=1.
To unit integral element, transmission function is：
It is transformed to universal model transmission function form：
Contrast (2) have：C=1, D=0 obtain its universal model state equation and output
Equation form：
It is corresponding：nst=1, nin=1, nout=1.
Because link cannot lack thus, TeCannot be zero.
For feedback element, transmission function is：
It is transformed to the transmission function form of universal model：
Contrast (2) have：
It can then enable：C=-1 obtains its universal model state equation and output equation form：
It is corresponding：nst=1, nin=1, nout=1.
This link cannot lack, therefore TfCannot be zero.
It is the expression-form of common single order link universal model state equation and output equation, other single order links above
Its universal model expression formula can be derived with the method, and writes program storage.For common single order link, universal model
State equation and output equation expression formula can the link occur place recycling.
(2) derive and write the join algorithm of single order link universal model.
The derivation that progress single order link universal model join algorithm after condition of contact is determined according to connection type, if single order ring
Section universal model has multiple, respectively single order link universal model one, single order link universal model two, single order link universal model
Three, single order link universal model four ..., the definition of connection type and its condition of contact are：
(2.1) it connects：The output end of single order link universal model one is connected to the input of single order link universal model two
End；Its condition of contact is the output variable y of single order link universal model one1Equal to the input variable of single order link universal model two
u2；Its connection as shown in Fig. 2, the universal model of two links of simultaneous state equation and output equation, obtain：
It derives：
Then new universal model state equation and output equation are：
Then corresponding to variable number is：
nst=nst1+nst2
nin=nin1
nout=nout2
Consider that universal model therein has the case where default link:
Work as nst1、nst2When being not zero, have：
Work as nst1、nst2When one of which is zero, then matrix, which removes, lacks the corresponding part of dimension, such as：
If a)：nst1=1, nst2=0, nst=nst1+nst2=nst1.N should be removed at this timest2Corresponding matrix part, i.e.,：
If b)：nst1=0, nst2=1, nst=nst1+nst2=nst2.N should be removed at this timest1Corresponding matrix part, i.e.,：
If c)：nst1=0, nst2=0, n at this timest=nst1+nst2=0.Then have： ([] indicates empty matrix).
(2.2) phase opposite sign is taken：The output variable y of single order link universal model one1It is inputted for single order link universal model two
Variable u1Opposite number, condition of contact y1=-ku1。
The output variable y of universal model1' it is former output variable y1Opposite number, i.e., its condition of contact be y1'=- y1, have：
It derives：
Therefore have：
Relevant variable number is constant.
(2.3) addition input：Single order link universal model one increases an input signal, and it is u to enable former input variable1, add
It is u to add input variable2, condition of contact is new input variable u1'=u1+u2, as shown in figure 3, then：
Therefore have：
Relevant variable number is：
nst=nst
nin=nin+1
nout=nout
(2.4) feedback link：By two single order link universal models by two amplification factors be p12iAnd p21iRatio is put
Big link joins end to end, if the input variable and output variable of single order link universal model one are respectively u before connection1And y1, single order
The input variable and output variable of link universal model two are respectively u2And y2；External signal ur1It is p by amplification factor1iRatio
Example amplifying element input signal is to single order link universal model one, external signal ur2It is p by amplification factor2iRatio enlargement
Link input signal is to single order link universal model two；The output signal of single order link universal model one is p by amplification factor1o
Ratio enlargement link output be yr1, the output signal of single order link universal model two is p by amplification factor2oRatio put
Big link exports yr2；Its condition of contact is the new input variable u of single order link universal model one1'=p1iur1+p21iy2, single order ring
Save the new input variable u of universal model two2'=p2iur2+p12iy1；The output variable y of entire reponse systemr1=P1oy1, yr2=
P2oy2, connection is as shown in Figure 4.
If two of which universal model S1、S2Equation be：
According to condition of contact, the equation of each tie point is：
It can be released by formula (27) and formula (28)：
Wherein：I is unit diagonal matrix.
New state equation is：
It derives：
Above four connection types are the common connection type of equipment block diagram, other connection types can similarly derive and
It is realized with computer programming.
(3) when there are high-order link, the single order link universal model derived using the step (1) constructs high-order
Link universal model, calculates the state equation and output equation of the high-order link universal model, and to its state equation and defeated
Go out equation to be programmed；To common high-order link, the corresponding state equation of high-order link universal model and output equation are compiled
Journey, storage.
The building method of high-order link universal model is that high-order link is split into the shape that multiple single order links are connected
Formula utilizes the join algorithm and its single order link Universal Die of step (2) then according to the split single order link order of connection
Multiple single order link universal models are connected and composed high-order link universal model by type.
Specific implementation is as follows：
If certain link exists such asTransmission function can be then split asWithTwo concatenated forms of delay component indicate the two delay components with universal model, you can are connected with series connection
It connects algorithm and calculates the universal model after the connection of the two delay component universal models, i.e. the high-order link universal model of the link.
If there are still the link of higher-order, need to use the method in control theory by transmission function row write state equation
(such as：The quick Theories of Automatic Control of uncle Zou:3rd edition [M] China Machine Press, 2007:386-395.), the shape of the link is found out
State equation and output equation.The link of the general rare high-order of equipment block scheme, the method will not generally be used.
(4) it according to the abbreviation of equipment transmission function block diagram sequence, is sequentially connected by the join algorithm of the step (2)
Each block diagram, automatic deduction go out the state equation of the equipment.It is as follows：
For the step (4) abbreviation sequence, if presence signal is intersected in block diagram, first movable signal summing point draws
Go out a cancellation signal to intersect, the single order link universal model and high-order link for then utilizing the step (2) and (3) to derive are logical
With model, to the sequence of external loop piecemeal gradually abbreviation, links one is connected to using join algorithm according to from inner looping
It rises, ultimately generates the state equation of the equipment.
IEEE DC1A direct-current exciter models as shown in Figure 5 then utilize computer to realize the derivation step of its state equation
Suddenly it is：
(4.1) it generates in first feedback loop on forward passThe Universal Die of link
Type, and they are cascaded using formula (20), generate the concatenated universal model S of these three links；
(4.2) feedback element formula (23) will be had been converted into universal modelIt takes negative, obtains's
Universal model；
(4.3) P in formula (32) is enabled2i、P2oIt is 0, P12i、P21i、P1i、P1oIt is 1, (32) is then utilized will to have turned before
Turn to universal modelThe universal model that feedback link generates S' is carried out with the universal model of S；
(4.4) utilize formula (26) to S' addition input variables VrefGenerate new universal model S "；
(4.5) formula (20) is utilized, it willUniversal model with before gained S " universal model connect, you can generation
The universal model of DC1A type magnetizing exciters is to get to its corresponding state equation and output equation.
(5) it when having novel device or other model block diagrams of equipment, repeats step (3) (4) and derives novel device or be somebody's turn to do
The state equation of other models of equipment.
It can be seen that the join algorithm of the present invention and the universal model of most of links once derives programming can be repeatedly sharp
With effectively preventing deriving the problem of efficiency is low, poor reliability of equipment state equation by hand.Utilize the equipment of computer derivation
State equation, flexibility is high, autgmentability is strong, easily processing equipment can ignore link, newly-increased ring under different operating conditions
Situations such as section, is effectively improved accuracy and efficiency that electric system small interference stability is calculated and analyzed.
Above disclosed is only the specific implementation mode of the present invention, but scope of protection of the present invention is not limited thereto,
Any one skilled in the art in the technical scope disclosed by the present invention, can readily occur in variation or modification,
It is covered by the protection scope of the present invention.
Claims (7)
1. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction, which is characterized in that including following steps：
(1) equipment is often converted into single order link universal model with single order link, calculates the shape of the single order link universal model
State equation and output equation, and its state equation and output equation are programmed, it stores；
(2) derive and write the join algorithm of single order link universal model；
(3) when there are high-order link, the single order link universal model derived using the step (1) constructs high-order link
Universal model calculates the state equation and output equation of the high-order link universal model, and to its state equation and output side
Journey is programmed；To common high-order link, by the corresponding state equation of high-order link universal model and output equation programming, deposit
Storage；
(4) it according to the abbreviation of equipment transmission function block diagram sequence, is sequentially connected by the join algorithm of the step (2) each
Block diagram, automatic deduction go out the state equation of the equipment；
(5) it when having novel device or other model block diagrams of equipment, repeats step (3) (4) and derives novel device or the equipment
The state equation of other models.
2. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 1, which is characterized in that institute
The state equation and output equation for stating step (1) single order link universal model are indicated using following form：
Px=Ax+Bu
Y=Cx+Du
Wherein, p indicates that differential operator, x indicate state variable；U indicates that input variable, y indicate that output variable, A indicate state square
Battle array, B indicate that input matrix, C indicate that output matrix, D indicate feedforward matrix.
3. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 2, which is characterized in that shape
State matrix A, input matrix B, output matrix C and feedforward matrix D computational methods be：By the transmission function of common single order link
It is converted to the transmission function form of corresponding single order link universal model, further according to single order link universal model state equation and output
Equation determines A, B, C, D with the method for undetermined coefficients.
4. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 3, which is characterized in that institute
The transmission function form for stating single order link universal model is indicated using following form：
Or
Wherein, A, B, C, D are respectively state matrix in original state equation and output equation, input matrix, output matrix and preceding
Present matrix.
5. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 1, which is characterized in that institute
State step (2) be the derivation that single order link universal model join algorithm is carried out after condition of contact is determined according to connection type, if one
Rank link universal model at least there are two, respectively single order link universal model one and single order link universal model two, connection side
The definition of formula and its condition of contact are：
(2.1) it connects：The output end of single order link universal model one is connected to the input terminal of single order link universal model two；Its
Condition of contact is the output variable y of single order link universal model one1Equal to the input variable u of single order link universal model two2；
(2.2) phase opposite sign is taken：The output variable y of single order link universal model one1For two input variable u of single order link universal model1
Opposite number, condition of contact y1=-ku1；
(2.3) addition input：Single order link universal model one increases an input signal, and it is u to enable former input variable1, addition input
Variable is u2, condition of contact is new input variable u1'=u1+u2；
(2.4) feedback link：By two single order link universal models by two amplification factors be p12iAnd p21iRatio enlargement ring
Section joins end to end, if the input variable and output variable of single order link universal model one are respectively u before connection1And y1, single order link
The input variable and output variable of universal model two are respectively u2And y2；External signal ur1It is p by amplification factor1iRatio put
Big link input signal is to single order link universal model one, external signal ur2It is p by amplification factor2iRatio enlargement link
Input signal is to single order link universal model two；The output signal of single order link universal model one is p by amplification factor1oRatio
Example amplifying element output is yr1, the output signal of single order link universal model two is p by amplification factor2oRatio enlargement ring
Section output yr2；Its condition of contact is the new input variable u of single order link universal model one1'=p1iur1+p21iy2, single order link is logical
With the new input variable u of model two2'=p2iur2+p12iy1；The output variable y of entire reponse systemr1=P1oy1, yr2=P2oy2。
6. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 1, which is characterized in that right
The building method of high-order link universal model is in the step (3), and high-order link, which is split into multiple single order links, to be connected
Form, then according to the split single order link order of connection, the join algorithm using the step (2) and corresponding single order
Multiple single order link universal models are connected and constitute high-order link universal model by link universal model.
7. a kind of method for realizing POWER SYSTEM STATE equation automatic deduction according to claim 1, which is characterized in that right
In the step (4) abbreviation sequence, if presence signal is intersected in block diagram, first movable signal summing point, leading point eliminate letter
Number intersect, the single order link universal model and high-order link universal model for then utilizing the step (2) and (3) to derive are pressed
, to the sequence of external loop piecemeal gradually abbreviation, links are linked together using join algorithm, most throughout one's life according to from inner looping
At the state equation of the equipment.
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