CN114237043B - Gas turbine equipment transfer function closed-loop identification method based on deep learning - Google Patents
Gas turbine equipment transfer function closed-loop identification method based on deep learning Download PDFInfo
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Abstract
The invention discloses a gas turbine equipment transfer function closed-loop identification method based on deep learning, which comprises the following steps: (1) The key equipment of the gas turbine is constructed into a first-order inertial pure hysteresis FOPDT model, a PI controller is adopted as a feedback controller, and an open-loop transfer function model is established; (2) Regularizing model parameters, and carrying out perturbation on each obtained dimensionless parameter; (3) Performing closed loop step response simulation by using a perturbation model generated by random numbers; (4) And constructing a deep learning convolutional neural network by taking the nominal time parameter and the closed loop step response curve as input parameters and taking the dimensionless model parameter as output parameters, and training the convolutional neural network by utilizing a numerical sequence. The closed-loop identification method is not limited by field operation conditions, and an open-loop transfer function is obtained under the closed-loop condition; the training sample number is large enough to fully cover the uncertain change range of the actual object, and the recognition accuracy is high.
Description
Technical Field
The invention relates to the field of automatic control of thermal engineering, in particular to a gas turbine equipment transfer function closed-loop identification method based on deep learning.
Background
At present, gas turbine power generation using natural gas as fuel is an important technology for power supply, and with the wide use of a gas-steam combined cycle generator set, the operation characteristics and control of the gas turbine are increasingly researched. The gas turbine unit cannot perform open-loop disturbance experiments under the limitation of on-site operation conditions, and in order to obtain the dynamic operation characteristics of the gas turbine, the development of closed-loop identification becomes an important technical means for designing a control system.
System identification is a very important part of modern control theory, and is to determine a system equivalent to an identified system based on input and output observations. Classical system identification methods include step response methods, impulse response methods, least squares methods and derivatives thereof, but these methods are difficult to handle time lags and cannot determine process identification of the time lags. Therefore, to solve the deficiencies of the classical identification method, applying new technology to solve the problem is the key point of current research.
Disclosure of Invention
The invention aims to: in view of the above problems, the present invention aims to provide a gas turbine equipment transfer function closed-loop identification method based on deep learning.
The technical scheme is as follows: the invention discloses a gas turbine equipment transfer function closed-loop identification method based on deep learning, which comprises the following steps:
(1) The key equipment of the gas turbine is constructed into a first-order inertial pure hysteresis FOPDT model, a PI controller is adopted as a feedback controller, and an open-loop transfer function model is established;
(2) Regularizing model parameters, and carrying out perturbation on each obtained dimensionless parameter;
(3) Performing closed-loop step response simulation by using a perturbation model generated by random numbers, and recording a numerical sequence of closed-loop step response corresponding to each group of dimensionless parameters;
(4) And constructing a deep learning convolutional neural network by taking the nominal time parameter and the closed loop step response curve as input parameters and taking the dimensionless model parameter as output parameters, and training the convolutional neural network by utilizing a numerical sequence to obtain a neural network model of an identification model.
Further, the first-order inertial pure hysteresis FOPDT model transfer function expression in step (1) is:
Wherein s is complex frequency, K is real object amplification factor, T is real object time constant, L is real object delay time, and parameter K, T, L is parameter to be identified;
Taking the PI controller as a feedback controller, and the corresponding transfer function expression is as follows:
Wherein, K p is a proportionality coefficient, T i is an integration coefficient, and the value of K p、Ti is adjusted according to the object characteristics and the control target;
thus, the open loop transfer function of the gas turbine control system is expressed as:
Setting a parameter K p、Ti in the PI controller according to an internal setting method, wherein the set expression is as follows:
Ti=T0
where K 0 is the object model magnification factor, T 0 is the object model time constant, and L 0 is the object model delay time.
Further, the parameter regularization in step (2) is defined as follows:
Beta, gamma and alpha are dimensionless parameters with nominal values of 1, theta 0 is a nominal time parameter, and theta is a time parameter to be solved;
Bringing the above into the gas turbine control system, the open loop transfer function is rewritten as:
Further, the perturbation in the step (2) refers to random perturbation of + -30% on dimensionless numbers beta, gamma and alpha under the condition of a known nominal time parameter theta 0, and each dimensionless parameter is uniformly and randomly valued within the range of [0.7,1.3 ].
And (3) carrying out a step response experiment on the closed loop system on the basis of each group of random number pairs, carrying out the closed loop step response experiment according to a corresponding group of beta, gamma and alpha, taking points on the curve by an equal time step delta g after the response curve tends to be stable, and recording each point, a nominal time parameter theta 0 and dimensionless numbers beta, gamma and alpha.
Further, the convolutional neural network comprises 1 input layer, 4 convolutional layers, 4 batch normalization layers, 4 activation function layers, 2 average pooling layers, one discard layer, 1 full connection layer and 1 regression layer.
The beneficial effects are that: compared with the prior art, the invention has the remarkable advantages that: the closed-loop identification method is not limited by field operation conditions, and an open-loop transfer function can be obtained under the closed-loop condition; the training sample number is large enough to fully cover the uncertain change range of the actual object, and the recognition accuracy is high; the problem that the FOPDT of the first-order time lag model is difficult to identify is solved; the parameter identification process is simple and easy to operate.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a schematic diagram of an open loop transfer function model;
FIG. 3 is a model diagram of a convolutional neural network;
FIG. 4 is an absolute percentage error plot of the parameters, wherein (a) is an absolute percentage error plot of parameter β; (b) is an absolute percent error profile of parameter gamma; (c) is an absolute percent error profile for parameter α;
fig. 5 is a closed loop step response graph.
Detailed Description
The embodiment of the method for identifying the transfer function closed loop of the gas turbine equipment based on deep learning is shown in fig. 1, and the flow chart comprises the following steps:
(1) The key equipment of the gas turbine is constructed into a first-order inertial pure hysteresis FOPDT model, the key equipment such as a valve, a pipeline, a rotating speed, a sensing and the like, a PI controller is adopted as a feedback controller, an open-loop transfer function model is built, and the model structure is shown in figure 2;
The transfer function expression of the first-order inertial pure hysteresis FOPDT model is as follows:
Wherein s is complex frequency, K is real object amplification factor, T is real object time constant, L is real object delay time, and parameter K, T, L is parameter to be identified;
Taking the PI controller as a feedback controller, and the corresponding transfer function expression is as follows:
Wherein, K p is a proportionality coefficient, T i is an integration coefficient, and the value of K p、Ti is adjusted according to the object characteristics and the control target;
thus, the open loop transfer function of the gas turbine control system is expressed as:
Setting a parameter K p、Ti in the PI controller according to an internal setting method, wherein the set expression is as follows:
Ti=T0
Wherein K 0 is an object model amplification factor, T 0 is an object model time constant, L 0 is an object model delay time, and K 0,T0,L0 is obtained from model priori knowledge.
(2) Model parameters are regularized, and the definition formula is as follows: ;
Beta, gamma and alpha are dimensionless parameters with nominal values of 1, theta 0 is a nominal time parameter, and theta is a time parameter to be solved;
Bringing the above into the gas turbine control system, the open loop transfer function is rewritten as:
Under the condition of known nominal time parameter theta 0, carrying out random perturbation of +/-30% on dimensionless parameters beta, gamma and alpha, wherein the values of beta, gamma and alpha are uniformly and randomly taken within the range of [0.7,1.3], and the nominal time parameter is theta 0 epsilon [0.5, 10]. The formulas corresponding to each set of dimensionless numbers in the above formula represent a class of similar objects, rather than a particular object.
(3) And carrying out closed loop step response simulation by utilizing a perturbation model generated by random numbers, and recording a numerical sequence of closed loop step response corresponding to each group of dimensionless parameters.
And carrying out a step response experiment on the closed loop system on the basis of each group of random number pairs, carrying out the closed loop step response experiment according to a corresponding group of beta, gamma and alpha, taking points on the curve by an equal time step delta g after the response curve tends to be stable, and recording each point, a nominal time parameter theta 0 and dimensionless numbers beta, gamma and alpha.
(4) And constructing a deep learning convolutional neural network by taking the nominal time parameter and the closed loop step response curve as input parameters and taking the dimensionless model parameter as output parameters, and training the convolutional neural network by utilizing a numerical sequence to obtain a neural network model of an identification model.
The convolutional neural network comprises an input layer, a first convolutional layer, a first batch processing layer, a first activation function layer, a first average pooling layer, a second convolutional layer, a second batch processing layer, a second activation function layer, a second average pooling layer, a third convolutional layer, a third batch processing layer, a third activation function layer, a fourth convolutional layer, a fourth batch processing layer, a fourth activation function layer, a discarding layer, a full connection layer and a regression layer which are sequentially arranged, and the specific structure is shown in figure 3.
The identification method is evaluated through parameter identification performance indexes, absolute percentage errors are used as performance indexes, and the expression is as follows:
Wherein k epsilon [1, n ] and k epsilon Z, n are the group numbers of the test set, m k represents the absolute percentage error of the parameters of the kth group, t k is the parameter true value of the kth group, and p k is the parameter identification value of the kth group.
The total data of the test set is 1000 groups, namely n=1000, the absolute percentage error distribution of each parameter is counted, and the distribution results obtained by beta, gamma and alpha are respectively shown in fig. 4 (a), (b) and (c), wherein the absolute percentage error of the parameters in the 1000 groups is more than 850 groups in the (0, 3%) range.
As shown in fig. 5, on the premise that the nominal time parameter θ 0 = 3.7435, when the dimensionless parameter is true value: When the system is subjected to closed loop step response experiments, a corresponding step response curve is obtained, the response curve and a nominal time parameter theta 0 are used as input parameters of a neural network, and the dimensionless parameters are identified through the convolutional neural network: And the parameters K 0,T0,L0 are obtained by model priori knowledge, so that K, T and L can be obtained, namely parameters to be identified in the open-loop transfer function of important equipment of the gas turbine are obtained according to the closed-loop step response curve and the nominal time parameter of the system, and the open-loop transfer function is finally obtained. And then, performing a closed-loop step response experiment on an open-loop transfer function corresponding to the identification parameter to obtain an identification step response curve of fig. 5, wherein the accuracy of the identification of the neural network established by the method of the embodiment is high according to the coincidence degree of the two response curves of fig. 5.
Claims (4)
1. The gas turbine equipment transfer function closed-loop identification method based on deep learning is characterized by comprising the following steps of:
(1) The key equipment of the gas turbine is constructed into a first-order inertial pure hysteresis FOPDT model, a PI controller is adopted as a feedback controller, and an open-loop transfer function model is established;
(2) Regularizing model parameters, and carrying out perturbation on each obtained dimensionless parameter;
(3) Performing closed-loop step response simulation by using a perturbation model generated by random numbers, and recording a numerical sequence of closed-loop step response corresponding to each group of dimensionless parameters;
(4) The method comprises the steps of constructing a deep learning convolutional neural network by taking a nominal time parameter and a closed loop step response curve as input parameters and taking dimensionless model parameters as output parameters, and training the convolutional neural network by utilizing a numerical sequence to obtain a neural network model of an identification model;
The transfer function expression of the first-order inertial pure hysteresis FOPDT model in the step (1) is as follows:
Wherein s is complex frequency, K is real object amplification factor, T is real object time constant, L is real object delay time, and parameter K, T, L is parameter to be identified;
Taking the PI controller as a feedback controller, and the corresponding transfer function expression is as follows:
Wherein, K p is a proportionality coefficient, T i is an integration coefficient, and the value of K p、Ti is adjusted according to the object characteristics and the control target;
thus, the open loop transfer function of the gas turbine control system is expressed as:
Setting a parameter K p、Ti in the PI controller according to an internal setting method, wherein the set expression is as follows:
Ti=T0
Wherein K 0 is an object model amplification factor, T 0 is an object model time constant, and L 0 is an object model delay time;
The parameter regularization in step (2) is defined as follows:
Beta, gamma and alpha are dimensionless parameters with nominal values of 1, theta 0 is a nominal time parameter, and theta is a time parameter to be solved;
Bringing the above into the gas turbine control system, the open loop transfer function is rewritten as:
2. the method for closed-loop identification of a transfer function of a gas turbine plant according to claim 1, wherein the perturbation in the step (2) means that the dimensionless numbers β, γ, α are randomly perturbed by ±30% under the condition of a known nominal time parameter θ 0, and each dimensionless parameter is uniformly and randomly valued within the range of [0.7,1.3 ].
3. The method for identifying the closed loop of the transfer function of the gas turbine equipment according to claim 2, wherein step (3) carries out a step response experiment on the closed loop system on the basis of each group of random number pairs, carries out the closed loop step response experiment according to a corresponding group of beta, gamma and alpha, takes a point on the curve by an equal time step delta g after the response curve tends to be stable, and records each point, a nominal time parameter theta 0 and dimensionless numbers beta, gamma and alpha.
4. The gas turbine plant transfer function closed loop identification method of claim 1, wherein the convolutional neural network comprises an input layer, four convolutional layers, four batch normalization layers, four activation function layers, two average pooling layers, a discard layer, a full connection layer, and a regression layer.
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JPH04346102A (en) * | 1991-05-23 | 1992-12-02 | Hitachi Ltd | Pid parameter automatic tuning method |
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