scholarly journals Identification of the mathematical model of the automatic control system of a gas turbine engine

2019 ◽  
pp. 121-135
Author(s):  
Nadezhda Lamanova ◽  
Arthur Pleshivykh ◽  
Igor Gribkov ◽  
Almir Fatykov
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Automatic Control ◽  
Gas Turbine ◽  
Automatic Control System ◽  
Gas Turbine Engine ◽  
Turbine Engine ◽  
The Mathematical Model

scholarly journals IMPLEMENTATION OF THE METHODS OF IDENTIFICATION OF STATIC CONTROL OBJECTS

2017 ◽  
pp. 72-78
Author(s):  
Sergey Pachkin ◽  
Sergey Pachkin ◽  
Roman Kotlyarov ◽  
Roman Kotlyarov
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Automatic Control ◽  
Automatic Control System ◽  
Mathematical Description ◽  
Control Object ◽  
Parametric Identification ◽  
Identification Problem ◽  
Temperature Control System ◽  
The Mathematical Model

One of the main tasks solved in the development of automatic control systems is the identification of the control object, which consists in obtaining its mathematical description. The nature and type of the mathematical model is determined by the goals and tasks for which it will be used. In the present case, the aim of obtaining the model is the synthesis of an automatic control system. Proceeding from the requirements of control problems, the identification problem consists in determining the structure and parameters of the mathematical model that ensure the best similarity of the model and object responses to the same input action. The article considers the experimental method of obtaining a mathematical description of the control object based on the results of measuring its input and output parameters and then processing the obtained results. The control object is the EP10 emulator made by the Oven Company, which is a miniature furnace. The emulator is used in experimental research in the process of commissioning using thermostat controls, and also applicable for educational purposes as part of training and research stands. As a result of structural identification with subsequent adjustment of the coefficients with the help of parametric identification, a model of the control object in the form of a second order aperiodic link is obtained. Parameters and type of the mathematical model allowed to make calculations and determine the parameters of adjustment of the TRM251 PID-controller. The software implementation of the automatic control system in the MatLAB environment made it possible to evaluate transient processes in a closed system. Thus, the calculation and analysis of the automatic control system in the first approximation were made. The final result can be obtained at the stage of commissioning the automatic temperature control system in the EP10 emulator using adaptation algorithms.

Identification of the Mathematical Model of a Gas Turbine Engine Taking Into Account the Uncertainty of the Initial Data

2021 ◽  
Author(s):  
Oleg Baturin ◽  
Grigorii Popov ◽  
Paúl Nicolalde ◽  
Anastasia Korneeva
Keyword(s):  
Mathematical Model ◽  
Probability Distribution ◽  
Initial Data ◽  
Mathematical Models ◽  
Gas Turbine ◽  
Gas Turbine Engine ◽  
Bivariate Distribution ◽  
Calculation Error ◽  
Turbine Engine ◽  
The Mathematical Model

Abstract The article describes the method developed by the authors and tested on the example of the AI-25 engine. The study was focused on determining the probability distribution of the output parameters of a gas turbine engine mathematical model. The distribution was obtained considering the uncertainty of the initial data. The paper describes the identified problems and possible ways to solve them. In particular, it was found that it is not possible to study the influence of more than 7..8 input parameters on the probability distribution of output parameters with the current level of development of computer technology even using simple mathematical models. For this reason, a method has been developed to obtain reliable results while reducing the number of considered input data based on sensitivity analysis. The paper also proposed a way of comparing stochastic experimental and computational data with each other using a bivariate distribution. This method allows a precise characterisation of the calculation error using 4 numerical values. The experience obtained in the work has shown that taking into account the uncertainty of the initial data dramatically changes the process of interpreting the results. It should be noted that the obtained results are universal and can be used with other mathematical models in various industries although they were developed on the example of the mathematical model of a gas turbine engine.

Two-coordinate automatic control system for fuel delivery in a gas turbine engine

2012 ◽  
Vol 9 (2) ◽  
pp. 62-64
Author(s):  
E.V. Denisova ◽  
E.Sh. Nasibullaeva ◽  
M.A. Chernikova
Keyword(s):  
Control System ◽  
Automatic Control ◽  
Gas Turbine ◽  
Fuel Consumption ◽  
Gas Turbine Engine ◽  
Rotor Speed ◽  
Turbine Engine ◽  
Fuel Delivery ◽  
Fine Control

The possibility of improving the control quality of the rotor speed of a gas turbine engine due to the introduction of a two-coordinate fuel metering unit is shown. The introduction of two controlled signals to the dosing needle and to the constant-differential valve will make it possible to constructively perform a "coarse" and "fine" control of the amount of fuel consumption while maintaining the specified accuracy with respect to the speed of rotation.

scholarly journals MODELLING AND ANALYSIS OF CARBON DIOXIDE CHEMISORPTION PROCESS AS OBJECT OF CONTROL

2017 ◽  
Vol 60 (8) ◽  
pp. 74
Author(s):  
Alexander A. Samarskiy ◽  
Alexander N. Labutin ◽  
Tatiana V. Labutina
Keyword(s):  
Carbon Dioxide ◽  
Mathematical Model ◽  
Control System ◽  
Automatic Control ◽  
Automatic Control System ◽  
System Structure ◽  
Pseudo First Order Reaction ◽  
Ideal Mixing ◽  
Object Of Control ◽  
The Mathematical Model

In article problems of modeling of carbon dioxide chemisorption process and its analysis as object of control are solved. Also, the recommendations on synthesis of automatic control system structure are provided. Based on system approach the main stages and tasks are formulated for the analysis of process of carbon dioxide chemisorption by potash solution as object of control. The solution of objectives is given in the example of nozzle absorber pilot plant. The mathematical model of the object is developed, the research of its static and dynamic characteristics is conducted, variables of a state values are defined for given inputs. The mathematical model of the object is constructed on the basis of assumptions about the sectional structure of the absorber. Each section is presented as an ideal mixing cell for both phases. It is assumed that the chemisorption process proceeds in the diffusion-kinetic area through a pseudo-first order reaction. It is established that the object is not linear on most dynamic channels. The linearized object model in space of states is synthesized. Matrixes of a state and control are defined. The assessment of stability of steady state, observability and controllability of the object is carried out. It is proved that the object has property of stability of the free movement. It is controllable in the state of space and is observed when only carbon dioxide output concentrations measured. Recommendations on automatic control system structure for the object are offered.Forcitation:Samarskiy A.A., Labutin A.N., Labutina T.V. Modelling and analysis of carbon dioxide chemisorption process as object of control. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2017. V. 60. N 8. P. 74-79.

scholarly journals SYNTHESIS OF THE MATHEMATICAL MODEL OF THE AUTOMATIC CONTROL SYSTEM OF THE UNMANNED AIRCRAFT COURSE

2019 ◽  
pp. 152-159
Author(s):  
I. V. Zimchuk ◽  
V. I. Ishchenko ◽  
T. M. Shapar
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Control System ◽  
Automatic Control ◽  
Unmanned Aerial Vehicles ◽  
Unmanned Aerial Vehicle ◽  
Automatic Control System ◽  
Aerial Vehicles ◽  
Aerial Vehicle ◽  
The Mathematical Model

Unmanned aerial vehicles are by far the most promising military and civilian systems. There is a tendency to increase the efforts of a number of leading countries in the development of unmanned aerial vehicles and their complexes. The mathematical model of any system reflects in one way or another its real properties, including the existing limitations. It has been found that one of the most favorable and efficient methods for constructing mathematical models of automatic control systems is to develop them using transfer functions. In order to solve this problem, the article deals with the composition of the control system of a drone. A mathematical model consisting of the joint design of the unmanned aerial vehicle and its automatic control system has been synthesized. The description of the proposed mathematical model of the system is based on the representation of a linear continuous system by the difference equations obtained using the Tustin relation. The mathematical model proposed in the article can be used for the study of typical aircraft whose course management system is built according to the considered structure. The practical significance of the obtained results is the possibility of applying the developed mathematical model to study the dynamics of the change of state and to set up the system of automatic control of the course of the unmanned aerial vehicle through computer simulation. Prospects for further research in this area are computer simulation of an unmanned aerial vehicle control system and estimation of the accuracy of the mathematical model developed.

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