Solution of the optimization problem on the control over operation of gas pumping units under fuzzy conditions

Gorbiychuk, Mykhailo; Pashkovskyi, Bohdan; Moyseenko, O.; Sabat, Natalia

doi:10.15587/1729-4061.2017.111349

Cited by 3 publications

(16 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Particularly dangerous are emissions of nitrogen oxides [3]. Therefore, the optimality criterion takes into account not only the cost of the fuel gas but also the amount of the environmental fine for nitrous oxide emissions [4].…”

Section: Main Researchmentioning

confidence: 99%

“…A method based on the theory of genetic algorithms was used to construct empirical models. The result is a model of optimal complexity in a given class of models [4]. Generally, the model is chosen as a polynomial of a certain degree.…”

Section: Main Researchmentioning

confidence: 99%

“…The assumption [4] is that fuzzy quantities xj, which are arguments of functional dependence Ep,i, have triangular membership functions μ(xk).…”

Section: Main Researchmentioning

confidence: 99%

“…Since the first term in expression 10is an additive function of the quantities xG,i, Ep,i, and which have a Gaussian membership function [4], then R1 will also have a Gaussian membership function [6]…”

Section: Main Researchmentioning

confidence: 99%

“…Based on the technological parameters xj, j = 1,…,4 are fuzzy quantities with the function (9), it was proved in [4] that…”

Section: Main Researchmentioning

confidence: 99%

See 4 more Smart Citations

Optimization natural gas pumping units operation by the economic criterion in the conditions of uncertainty

Gorbiychuk¹,

Bila²,

Слабінога³

et al. 2019

Proceedings of the 2019 7th International Conference on Modeling, Development and Strategic Management of Economic System (MDSM

View full text Add to dashboard Cite

The article deals with the method of determining the number of parallel operating units and the number of the rotor rotations for each supercharger in the group by the economical criterion, taking into account the cost of fuel gas and the power of nitrogen oxides into the atmosphere. At the same time, limitations on technological parameters and conditions of uncertainty are taken into account, which are caused by inaccuracies of measurements and influence of uncontrolled parameters on the process of natural gas compression.

show abstract

Section: Main Researchmentioning

confidence: 99%

Section: Main Researchmentioning

confidence: 99%

“…The assumption [4] is that fuzzy quantities xj, which are arguments of functional dependence Ep,i, have triangular membership functions μ(xk).…”

Section: Main Researchmentioning

confidence: 99%

Section: Main Researchmentioning

confidence: 99%

“…Based on the technological parameters xj, j = 1,…,4 are fuzzy quantities with the function (9), it was proved in [4] that…”

Section: Main Researchmentioning

confidence: 99%

See 3 more Smart Citations

Optimization natural gas pumping units operation by the economic criterion in the conditions of uncertainty

Gorbiychuk¹,

Bila²,

Слабінога³

et al. 2019

Proceedings of the 2019 7th International Conference on Modeling, Development and Strategic Management of Economic System (MDSM

View full text Add to dashboard Cite

show abstract

Development of a method for optimizing operation of centrifugal gas superchargers under conditions of uncertainty

Gorbiychuk¹,

Bila²,

Humeniuk³

et al. 2019

EEJET

View full text Add to dashboard Cite

Improving empirical models of complex technological objects under conditions of uncertainty

Горбійчук

KROPYVNYTSKYI

Kropyvnytska

2023

EEJET

View full text Add to dashboard Cite

This paper proposes a method for improving empirical models of complex technological objects with insufficient information about the input and output values of an object's parameters. It has been established that most methods for constructing empirical models require knowledge of the statistical characteristics of the input and output values of an object. When modeling complex non-reproducible stochastic processes that evolve over time, information about the parameters and structure of an object is usually not available. A method has been proposed where input and output values are treated as fuzzy quantities with a triangular membership function. Since at some points in the region, the triangular membership function is undifferentiated, it is inconvenient to use it in its typical form to solve the problem of optimal control. Therefore, it is proposed to approximate it with the Gaussian membership function. It is shown that such an approximation is reduced to finding one parameter, which is determined by the least squares method. Its value practically does not depend on the magnitude of the uncertainty interval while the value characterizing the accuracy of approximation is a monotonously increasing function that has a linear character. This makes it possible to define the main operations on fuzzy numbers and derive an empirical model for the case of a polynomial "base" model. The resulting model is linear in its parameters, so a genetic algorithm can be used to find them. It is shown that genetic algorithms can be used in the construction of empirical polynomial models when input parameters are interpreted as fuzzy numbers. Thus, it can be argued that when constructing an empirical model of an object that is affected by external disturbances that cannot be measured, it is advisable to approximate all input quantities with a triangular Gaussian membership function

show abstract

Solution of the optimization problem on the control over operation of gas pumping units under fuzzy conditions

Cited by 3 publications

References 1 publication

Optimization natural gas pumping units operation by the economic criterion in the conditions of uncertainty

Optimization natural gas pumping units operation by the economic criterion in the conditions of uncertainty

Development of a method for optimizing operation of centrifugal gas superchargers under conditions of uncertainty

Improving empirical models of complex technological objects under conditions of uncertainty

Contact Info

Product

Resources

About