PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process
Само за регистроване кориснике
2010
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The paper presents a new algorithm of control for the cryogenic production process of
technical gases. Cryogenics is the science and technology dealing with temperatures less than
120 K, although this summary does not adhere to a strict 120 K definition. New way to the
technical production of liquid air was introduced by C. Linde at the end of the nineteenth
century [1]. The successful simple and economical production of liquid air may be achieved
using the reversing heat exchangers, where damping from the higher down to the lower
pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the
Russian academician P. L. Kapica and includes production of liquid air at pressure
p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in
the process of liquid air production was used for expansion of the air from the thermodynamic
state P (Pp,Tp) to the state K( (Pk,Tk=lowering when the air temperature decrease from ...Tp to
Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the
heat losses arise due to the heat exchange with the environment. The amount of air that
expands in the gas turbine does not exceed 25% of the overall usable air [1, 2].
For application in the synthesis of control, input temperature, and the flow of air
expansion turbine, it is necessary to determine the appropriate linear parts of differential
equations of the building guidance as well as the procedural object in these differential
equations. These equations describe the work guidance part of the building which consists of
positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process,
i.e. the appropriate equation of state and output are given.
In recent years, fractional calculus has been applied in the modeling and control of various
kinds of physical systems, as it is well known and documented in many control theories or in
the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a
generalization of integration and derivation to non-integer order (fractional) operators.
Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can
improve both the stability and performance robustness of feedback control systems.
In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production
process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.
Кључне речи:
expansion turbine / liquid air cryogenic production process / fractional order PIDИзвор:
Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010., 2010, 1-2Издавач:
- Prague: Czech society of chemical engineering
Финансирање / пројекти:
- Фини дисперзни системи: микро-, нано-, ато-инжењерство (RS-MESTD-MPN2006-2010-142034)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Bučanović, Ljubiša AU - Spasić, Aleksandar PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4992 AB - The paper presents a new algorithm of control for the cryogenic production process of technical gases. Cryogenics is the science and technology dealing with temperatures less than 120 K, although this summary does not adhere to a strict 120 K definition. New way to the technical production of liquid air was introduced by C. Linde at the end of the nineteenth century [1]. The successful simple and economical production of liquid air may be achieved using the reversing heat exchangers, where damping from the higher down to the lower pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the Russian academician P. L. Kapica and includes production of liquid air at pressure p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in the process of liquid air production was used for expansion of the air from the thermodynamic state P (Pp,Tp) to the state K( (Pk,Tk=lowering when the air temperature decrease from Tp to Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the heat losses arise due to the heat exchange with the environment. The amount of air that expands in the gas turbine does not exceed 25% of the overall usable air [1, 2]. For application in the synthesis of control, input temperature, and the flow of air expansion turbine, it is necessary to determine the appropriate linear parts of differential equations of the building guidance as well as the procedural object in these differential equations. These equations describe the work guidance part of the building which consists of positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process, i.e. the appropriate equation of state and output are given. In recent years, fractional calculus has been applied in the modeling and control of various kinds of physical systems, as it is well known and documented in many control theories or in the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a generalization of integration and derivation to non-integer order (fractional) operators. Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can improve both the stability and performance robustness of feedback control systems. In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities. PB - Prague: Czech society of chemical engineering C3 - Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. T1 - PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process EP - 2 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4992 ER -
@conference{ author = "Lazarević, Mihailo and Bučanović, Ljubiša and Spasić, Aleksandar", year = "2010", abstract = "The paper presents a new algorithm of control for the cryogenic production process of technical gases. Cryogenics is the science and technology dealing with temperatures less than 120 K, although this summary does not adhere to a strict 120 K definition. New way to the technical production of liquid air was introduced by C. Linde at the end of the nineteenth century [1]. The successful simple and economical production of liquid air may be achieved using the reversing heat exchangers, where damping from the higher down to the lower pressure occurs. Production of liquid air at low pressure was first introduced in 1938 by the Russian academician P. L. Kapica and includes production of liquid air at pressure p2 = 6 ¸-7 bar and then its expansion in the gas turbine. Moreover, the expansion turbine in the process of liquid air production was used for expansion of the air from the thermodynamic state P (Pp,Tp) to the state K( (Pk,Tk=lowering when the air temperature decrease from Tp to Tk and the pressure decrease from Pp to Pk . When the cold air expands in the turbine then the heat losses arise due to the heat exchange with the environment. The amount of air that expands in the gas turbine does not exceed 25% of the overall usable air [1, 2]. For application in the synthesis of control, input temperature, and the flow of air expansion turbine, it is necessary to determine the appropriate linear parts of differential equations of the building guidance as well as the procedural object in these differential equations. These equations describe the work guidance part of the building which consists of positionbody, pneumatic amplifier (booster volume), the pneumatic motor and work process, i.e. the appropriate equation of state and output are given. In recent years, fractional calculus has been applied in the modeling and control of various kinds of physical systems, as it is well known and documented in many control theories or in the literature data [3]. The fractional integro-differential operators-(fractional calculus) are a generalization of integration and derivation to non-integer order (fractional) operators. Recently, published results [4, 5] indicate that the use of a fractional-order PID controller can improve both the stability and performance robustness of feedback control systems. In this paper, a fractional order PID controller ( PIalpha Dbeta ) is used to control the production process of technical gases. The objective of this work is to find out optimum settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Also, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation. This difficulty arises from the mathematical nature of fractional operators, which demand hard requirements of processors memory and velocity capacities.", publisher = "Prague: Czech society of chemical engineering", journal = "Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.", title = "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process", pages = "2-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4992" }
Lazarević, M., Bučanović, L.,& Spasić, A.. (2010). PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. Prague: Czech society of chemical engineering., 1-2. https://hdl.handle.net/21.15107/rcub_machinery_4992
Lazarević M, Bučanović L, Spasić A. PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process. in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010.. 2010;:1-2. https://hdl.handle.net/21.15107/rcub_machinery_4992 .
Lazarević, Mihailo, Bučanović, Ljubiša, Spasić, Aleksandar, "PIalphaDbeta feedback type control of expansion turbine e in the liquid air cryogenic production process" in Proceedings of 19th International Congress of Chemical and Process Engineering CHISA 2010 and the 7th European Congress of Chemical Engineering ECCE-7 ,Prague, Czech Republic on 28 August - 1 September 2010. (2010):1-2, https://hdl.handle.net/21.15107/rcub_machinery_4992 .