CN106527141A - Glass furnace air-fuel ratio adjustment method based on variable universe fuzzy rule iterative learning - Google Patents
Glass furnace air-fuel ratio adjustment method based on variable universe fuzzy rule iterative learning Download PDFInfo
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Abstract
The invention relates to a glass furnace air-fuel ratio adjustment method based on variable universe fuzzy rule iterative learning, which belongs to the field of advanced manufacturing, automation and information. The method is characterized in that: firstly, a data-driven smoke oxygen content index prediction model is built, the input variable is an air-fuel ratio and the output variable is a smoke oxygen content. Meanwhile, on the basis of analyzing a chemical reaction mechanism during a glass furnace combustion process, a fuel thermal value serves as the input, a mechanism model for calculating the theoretical value of the air-fuel ratio is built, and the air-fuel ratio theoretical value acquired by the mechanism model is used for limiting the input value of the above data-driven smoke oxygen content index prediction model. On the basis of smoke oxygen content index prediction, an air-fuel ratio adjustment method based on variable universe fuzzy rule iterative learning is provided and a constraint satisfaction harmony search algorithm is provided for carrying out iterative learning on the variable universe fuzzy rule. When the method of the invention is applied to a glass production process, the furnace combustion condition can be effectively improved.
Description
Technical field
The invention belongs to advanced manufacture, automatization and message area, and in particular to a kind of Air/Fuel Ratio in Glass Furnace iteration is adjusted
Adjusting method.
Background technology
The Combustion System of glass furnace is produced to improving kiln efficiency of combustion, reducing energy consumption, less waste gas discharge, raising glass
Quality has important function, and which is the basis for realizing the efficient control such as glass furnace temperature, pressure, and optimization of air-fuel ratio setting
It is the core content of Combustion System.In China's actual glass production process, kiln air-fuel ratio is often set to fixed value, but by
Often change in production status such as heating value of natural gas, combustion-supporting air temperatures, carrying out Combustion System based on definite value air-fuel ratio can be to combustion
Burn the indexs such as efficiency, energy consumption, discharge amount of exhaust gas, glass product quality to have a negative impact.
The content of the invention
The present invention proposes a kind of Air/Fuel Ratio in Glass Furnace method of adjustment based on variable universe fuzzy rule iterative learning, and which is special
Levy and be, methods described is realized on computers successively according to the following steps:
Step (1):Initialization, sets following basic variable
Setting problem variable:
x1(t):The gas discharge of t
x2(t):The combustion-supporting wind flow of t
y(t):The flue gas oxygen content of t
[ymin,ymax]:Flue gas oxygen content setting value is interval
△C:Air-fuel ratio adjustment amount
C:Actual mixing ratio
CT:Chemically correct fuel
CGas:Heating value of natural gas
Step (2):Data acquisition
Gather one or more production order of classes or grades at school including above-mentioned gas discharge x1(t), combustion-supporting wind flow x2T (), flue gas contain
Oxygen amount y (t) information Store is into model database, and forms training data pair;
Step (3):Indices prediction data model is modeled
According to the model that sampled data sets up following open loop Narx recurrent neural networks it is:
Y (t)=f2(x1(t),x1(t-1),…,x1(t-9),x1(t-10),x2(t),x2(t-1),…,x2(t-9),x1
(t-10),y(t
-1),y(t-2),…,y(t-10))
Wherein, t is the time, x1The gas discharge of (t) for t, x2T the combustion-supporting wind flow of () for t, y (t) are t
The flue gas oxygen content at moment, f2() is closed loop Narx recurrent neural networks, and neutral net hidden layer is 20 neurons.
Step (4):Mechanism model is modeled
When rule of thumb per the fuel combustion of 4186.8Kj caloric values, 1m is about needed3Air capacity, so as to if calorific value CGas
Unit be Kj/m3, then the theoretical model of air-fuel ratio can be modeled as:
CT=CGas/4186.8
And then the present invention is interval for the restriction of air-fuel ratio with [CT*0.95, CT*1.05].
Step (5):Set up variable universe fuzzy rule
With flue gas oxygen content actual deviation EoAnd its rate of change Δ E with the prediction deviation of indices prediction modeloAs fuzzy
The input of rule, outputs of the air-fuel ratio adjustment amount △ C as fuzzy rule.Fuzzy decision table setting is as follows
1 fuzzy decision table of table
Its actual domain is according to EoWith Δ EoSelf-adaptative adjustment, i.e., when error is larger, using big fuzzy domain, error compared with
Hour adopts less fuzzy domain.
Fuzzy theory domain classification method is as shown in drawings.Peak dot value a of each fuzzy set after its domain normalization1、a2、a3
And a4The harmonic search algorithm based on constraint satisfaction be given using step (7) carries out off-line search, and search procedure presses step (6)
The method for being given sets up object model.
Step (6):Object model is set up
It is modeled using closed loop Narx recurrent neural networks
Y (t)=f2(x1(t),x1(t-1),…,x1(t-9),x1(t-10),x2(t),x2(t-1),…,x2(t-9),x1
(t-10),y(t
-1),y(t-2),…,y(t-10))
Wherein, t is the time, x1The gas discharge of (t) for t, x2T the combustion-supporting wind flow of () for t, y (t) are t
The flue gas oxygen content at moment, f2() is closed loop Narx recurrent neural networks, and neutral net hidden layer is 40 neurons.
Step (7):Design the harmonic search algorithm based on constraint satisfaction to search for
Step (7.1):Object function
When being adjusted to air-fuel ratio using variable universe fuzzy rule, in need to ensureing flue gas, oxygen content is in certain interval
In the range of, so as to harmony vectorObject function be defined as follows:
f(Xi)=∑ | Eo|
Wherein, EoIt is the deviation of oxygen content in flue gas.
Step (7.2):Harmony vector
In view of domain Eo、ΔEoIt is both needed to optimize corresponding a with each domain of △ C1、a2、a3And a4.So as to each
Harmony vector includes d=4 × 3=12 harmony variate-value.Make each harmony vector be belonging to for Normal Distribution it is interval [0,
1] random number.
If harmony storehouse scale is HMS, then the individual harmony vectors of i-th (i=1,2 ..., HMS) in harmony storehouse can be represented such as
Under:
Wherein,The peak dot of fuzzy number in first input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in second input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in output domain fuzzy division is represented, needs to meet
Step (7.3):Harmony improves mechanism
Harmony storehouse is improved mechanism using harmony such as memory consideration, syllable adjustment, random selections, a new harmony can be obtained
VectorWherein, for each harmony variate-value
If the random uniform random number for generating considers probability HMCR less than previously given harmony storehouse,According to the note for being given as the following formula
Recall the generation of consideration method:
Wherein, a is belonging to the random integers of interval [1, HMS].
Otherwise, if the uniform random number of above-mentioned random generation is more than or equal to HMCR,By following random selection
Method is generated:
Wherein, Randn is the random number for belonging to interval [0,1] or [- 1,0] of Normal Distribution, if harmony variable pair
The peak dot of fuzzy number is answered to need less than 0, then in [- 1,0] value, otherwise in [0,1] value.
Further, ifConsider to obtain by remembering, thenAdjusted by following syllable with finely tuning disturbance probability P AR
Method is disturbed:
Wherein,It is j-th harmony variate-value in the best harmony vector for obtaining so far.
Step (7.4):Constraint is processed
It is newly-generated according to said methodIt is unsatisfactory for harmony variable
Constraint, the harmony variable of adjacent odd position and even bit need to be exchanged.
Step (7.5):Harmony storehouse update mechanism
Improve mechanism through harmony, new harmony vector XnewCan be constructed, then, harmony storehouse is carried out more as follows
Newly:If XnewWorst harmony X in better than harmony storehouseWorst, then by XnewReplace XWorst。
Step (7.6):Iterative search mechanism
Iterative step 7.3- steps 7.5 arrive maximum iteration time, obtain the harmony vector of optimization.
According to the above-mentioned Air/Fuel Ratio in Glass Furnace on-line tuning method combined based on indices prediction data and mechanism, this
It is bright to have done substantial amounts of emulation experiment, can be seen that from simulation result, reduction of the present invention to glass furnace fume oxygen content has significantly
Effect.
Description of the drawings
Fig. 1:The Air/Fuel Ratio in Glass Furnace on-line tuning method hardware system combined based on indices prediction data and mechanism
Structural representation.Fig. 2:Shown based on the Air/Fuel Ratio in Glass Furnace on-line tuning method flow that indices prediction data and mechanism combine
It is intended to.
Fig. 3:Variable universe fuzzy rule domain divides schematic diagram.
Fig. 4:Flue gas oxygen content object model matched curve.
Fig. 5:Flue gas oxygen content indices prediction models fitting curve.
Fig. 6:Flue gas oxygen content change curve.
Specific embodiment
Dispatching method of the present invention depends on relevant data acquisition system, has modeling client and Modeling Server to realize.
Using the software and hardware architecture schematic diagram of the present invention as shown in figure 1, embodiments of the present invention are as follows in actual glass kiln.
Step (1):Initialization, sets following basic variable
Setting problem variable:
x1(t):The gas discharge of t
x2(t):The combustion-supporting wind flow of t
y(t):The flue gas oxygen content of t
[ymin,ymax]:Flue gas oxygen content setting value is interval
△C:Air-fuel ratio adjustment amount
C:Actual mixing ratio
CT:Chemically correct fuel
CGas:Heating value of natural gas
Step (2):Data acquisition
Gather one or more production order of classes or grades at school including above-mentioned gas discharge x1(t), combustion-supporting wind flow x2T (), flue gas contain
Oxygen amount y (t) information Store is into model database, and forms training data pair;
Step (3):Indices prediction data model is modeled
According to the model that sampled data sets up following open loop Narx recurrent neural networks it is:
Y (t)=f2(x1(t),x1(t-1),…,x1(t-9),x1(t-10),x2(t),x2(t-1),…,x2(t-9),x1
(t-10),y(t
-1),y(t-2),…,y(t-10))
Wherein, t is the time, x1The gas discharge of (t) for t, x2T the combustion-supporting wind flow of () for t, y (t) are t
The flue gas oxygen content at moment, f2() is closed loop Narx recurrent neural networks, and neutral net hidden layer is 20 neurons.
Step (4):Mechanism model is modeled
When rule of thumb per the fuel combustion of 4186.8Kj caloric values, 1m is about needed3Air capacity, so as to if calorific value CGas
Unit be Kj/m3, then the theoretical model of air-fuel ratio can be modeled as:
CT=CGas/4186.8
And then the present invention is interval for the restriction of air-fuel ratio with [CT*0.95, CT*1.05].
Step (5):Set up variable universe fuzzy rule
With flue gas oxygen content actual deviation EoAnd its rate of change Δ E with the prediction deviation of indices prediction modeloAs fuzzy
The input of rule, outputs of the air-fuel ratio adjustment amount △ C as fuzzy rule.Fuzzy decision table setting is as follows
1 fuzzy decision table of table
Its actual domain is according to EoWith Δ EoSelf-adaptative adjustment, i.e., when error is larger, using big fuzzy domain, error compared with
Hour adopts less fuzzy domain.
Fuzzy theory domain classification method is as shown in drawings.Peak dot value a of each fuzzy set after its domain normalization1、a2、a3
And a4The harmonic search algorithm based on constraint satisfaction be given using step (7) carries out off-line search, and search procedure presses step (6)
The method for being given sets up object model.
Step (6):Object model is set up
It is modeled using closed loop Narx recurrent neural networks
Y (t)=f2(x1(t),x1(t-1),…,x1(t-9),x1(t-10),x2(t),x2(t-1),…,x2(t-9),x1
(t-10),y(t
-1),y(t-2),…,y(t-10))
Wherein, t is the time, x1The gas discharge of (t) for t, x2T the combustion-supporting wind flow of () for t, y (t) are t
The flue gas oxygen content at moment, f2() is closed loop Narx recurrent neural networks, and neutral net hidden layer is 40 neurons.
Step (7):Design the harmonic search algorithm based on constraint satisfaction to search for
Step (7.1):Object function
When being adjusted to air-fuel ratio using variable universe fuzzy rule, in need to ensureing flue gas, oxygen content is in certain interval
In the range of, so as to harmony vectorObject function be defined as follows:
f(Xi)=∑ | Eo|
Wherein, EoIt is the deviation of oxygen content in flue gas.
Step (7.2):Harmony vector
In view of domain Eo、ΔEoIt is both needed to optimize corresponding a with each domain of △ C1、a2、a3And a4.So as to each
Harmony vector includes d=4 × 3=12 harmony variate-value.Make each harmony vector be belonging to for Normal Distribution it is interval [0,
1] random number.
If harmony storehouse scale is HMS, then the individual harmony vectors of i-th (i=1,2 ..., HMS) in harmony storehouse can be represented such as
Under:
Wherein,The peak dot of fuzzy number in first input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in second input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in output domain fuzzy division is represented, needs to meet
Step (7.3):Harmony improves mechanism
Harmony storehouse is improved mechanism using harmony such as memory consideration, syllable adjustment, random selections, a new harmony can be obtained
VectorWherein, for each harmony variate-value
If the random uniform random number for generating considers probability HMCR less than previously given harmony storehouse,According to the note for being given as the following formula
Recall the generation of consideration method:
Wherein, a is belonging to the random integers of interval [1, HMS].
Otherwise, if the uniform random number of above-mentioned random generation is more than or equal to HMCR,By following random selection
Method is generated:
Wherein, Randn is the random number for belonging to interval [0,1] or [- 1,0] of Normal Distribution, if harmony variable pair
The peak dot of fuzzy number is answered to need less than 0, then in [- 1,0] value, otherwise in [0,1] value.
Further, ifConsider to obtain by remembering, thenAdjusted by following syllable with finely tuning disturbance probability P AR
Method is disturbed:
Wherein,It is j-th harmony variate-value in the best harmony vector for obtaining so far.
Step (7.4):Constraint is processed
It is newly-generated according to said methodIt is unsatisfactory for harmony variable
Constraint, the harmony variable of adjacent odd position and even bit need to be exchanged.
Step (7.5):Harmony storehouse update mechanism
Improve mechanism through harmony, new harmony vector XnewCan be constructed, then, harmony storehouse is carried out more as follows
Newly:If XnewWorst harmony X in better than harmony storehouseWorst, then by XnewReplace XWorst。
Step (7.6):Iterative search mechanism
Iterative step 7.3- steps 7.5 arrive maximum iteration time, obtain the harmony vector of optimization.
The parameter of the Air/Fuel Ratio in Glass Furnace on-line tuning method combined based on indices prediction data and mechanism is selected such as
Under:
● the sample frequency for the data of indices prediction model modeling was adopted for 3 seconds;
● flue gas oxygen content set point is [3.05,3.15]
● harmony storehouse scale is HMS=50;
● iterationses are 100;
According to above-mentioned the proposed microelectronics production line scheduling method based on index prediction and on-line study, the present invention does
Substantial amounts of l-G simulation test, the hardware environment of operation is:P4 2.8GHz CPU, 1024M RAM, operating system be Windows,
UNIX。
Claims (3)
1. a kind of Air/Fuel Ratio in Glass Furnace method of adjustment based on variable universe fuzzy rule iterative learning, it is characterised in that include:
According to mechanism model and heating value of natural gas for theoretical air-fuel ratio theoretical value, the theory of glass furnace combustion process is obtained
Air-fuel ratio;
According to the flue gas oxygen content indices prediction model and actual mixing ratio and described chemically correct fuel of data-driven, obtain right
The flue gas oxygen content answered, and according to variable universe fuzzy rule and the flue gas oxygen content, air-fuel ratio is adjusted.
2. method according to claim 1, it is characterised in that the basis is used for the mechanism mould of theoretical air-fuel ratio theoretical value
Type and heating value of natural gas, obtain the chemically correct fuel of glass furnace combustion process, specifically include following steps:
Step 1:Set following basic variable
x1(t):The gas discharge of t
x2(t):The combustion-supporting wind flow of t
y(t):The flue gas oxygen content of t
[ymin,ymax]:Flue gas oxygen content setting value is interval
△C:Air-fuel ratio adjustment amount
C:Actual mixing ratio
CT:Chemically correct fuel
CGas:Heating value of natural gas
Step 2:Indices prediction data model is modeled
Following open loop Narx recurrent neural network models are set up according to sampled data is:
Y (t+1)=f1(x1(t),x1(t-1),…,x1(t-9),x2(t),x2(t-1),…,x2(t-9),y(t),y(t-1),y
(t-2),…,y(t-9))
x1T () is t gas discharge, x2T () is t flue gas oxygen content, f for the combustion-supporting wind flow of t, y (t)1() is
Closed loop Narx recurrent neural networks;
Step 3:Mechanism model is modeled
When rule of thumb per the fuel combustion of 4186.8Kj caloric values, 1m is about needed3Air capacity, so as to if the unit of calorific value CGas
For Kj/m3, then the theoretical model of air-fuel ratio can be modeled as:
CT=CGas/4186.8
Further, it is interval for the restriction of air-fuel ratio with [CT*0.95, CT*1.05].
3. method according to claim 1, it is characterised in that described oxygen-containing according to variable universe fuzzy rule and the flue gas
Amount, is adjusted to Air/Fuel Ratio in Glass Furnace, specifically includes following steps:
Step 1:Iteration sets up variable universe fuzzy rule
With flue gas oxygen content actual deviation EoAnd its rate of change Δ E with the prediction deviation of indices prediction modeloAs fuzzy rule
Input, outputs of the air-fuel ratio adjustment amount △ C as fuzzy rule;
The actual domain of fuzzy rule is according to EoWith Δ EoSelf-adaptative adjustment, i.e., when error is larger, using big fuzzy domain, error
Less fuzzy domain is adopted when less;Fuzzy theory domain classification method is as shown in drawings;Each after its domain normalization is obscured
Peak dot value a of collection1、a2、a3And a4;Off-line search is carried out using the harmonic search algorithm based on constraint satisfaction that step 3 is given,
Search procedure sets up object model by the method that step 2 is provided;
Step 2:Object model is set up
It is modeled using closed loop Narx recurrent neural networks
Y (t)=f2(x1(t),x1(t-1),…,x1(t-9),x1(t-10),x2(t),x2(t-1),…,x2(t-9),x1(t-
10),y(t-1),y(t-2),…,y(t-10))
Wherein, t is the time, x1The gas discharge of (t) for t, x2T the combustion-supporting wind flow of () for t, y (t) are t
Flue gas oxygen content, f2() is closed loop Narx recurrent neural networks;
Step 3:Design the harmonic search algorithm based on constraint satisfaction to search for
Step 3.1:Object function
When being adjusted to air-fuel ratio using variable universe fuzzy rule, in need to ensureing flue gas, oxygen content is in certain interval range
It is interior, so as to harmony vectorObject function be defined as follows:
f(Xi)=∑ | Eo|
Wherein, EoIt is the deviation of oxygen content in flue gas;
Step 3.2:Harmony vector
In view of domain Eo、ΔEoIt is both needed to optimize corresponding a with each domain of △ C1、a2、a3And a4;So as to each harmony
Vector includes d=4 × 3=12 harmony variate-value;Each harmony vector is made to be that Normal Distribution belongs to interval [0,1]
Random number;
If harmony storehouse scale is HMS, then the individual harmony vectors of i-th (i=1,2 ..., HMS) in harmony storehouse can be expressed as follows:
Wherein,The peak dot of fuzzy number in first input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in second input domain fuzzy division is represented, needs to meet
The peak dot of fuzzy number in output domain fuzzy division is represented, needs to meet
Step 3.3:Harmony improves mechanism
To harmony storehouse using memory consider, syllable adjustment, random selection etc. harmony improve mechanism, can obtain a new harmony to
AmountWherein, for each harmony variate-value
If the random uniform random number for generating considers probability HMCR less than previously given harmony storehouse,According to the note for being given as the following formula
Recall the generation of consideration method:
Wherein, a is belonging to the random integers of interval [1, HMS];
Otherwise, if the uniform random number of above-mentioned random generation is more than or equal to HMCR,By following random selection method
Generate:
Wherein, Randn is the random number for belonging to interval [0,1] or [- 1,0] of Normal Distribution, if harmony variable correspondence mould
The peak dot of paste number is needed less than 0, then in [- 1,0] value, otherwise in [0,1] value;
Further, ifConsider to obtain by remembering, thenTo finely tune disturbance probability P AR by following syllable method of adjustment
Disturbed:
Wherein,It is j-th harmony variate-value in the best harmony vector for obtaining so far;
Step 3.4:Constraint is processed
It is newly-generated according to said methodIt is unsatisfactory for the pact of harmony variable
Beam, need to exchange the harmony variable of adjacent odd position and even bit;
Step 3.5:Harmony storehouse update mechanism
Improve mechanism through harmony, new harmony vector XnewCan be constructed, then, harmony storehouse is updated as follows:If
XnewWorst harmony X in better than harmony storehouseWorst, then by XnewReplace XWorst。
Step 3.6:Iterative search mechanism
Iterative step 3.3- steps 3.5 arrive maximum iteration time, obtain the harmony vector of optimization.
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