OPTIMAL DISTRIBUTION OF PARALLEL WORKING EQUIPMENT WITH REGARD TO ENVIRONMENTAL TAXES UNDER UNDERSTANDING CONDITIONS
DOI:
https://doi.org/10.31471/1993-9965-2019-1(46)-35-45Keywords:
compressor station, parallel aggregates, uncertainty, optimality, criterion, restriction, discrete programming.Abstract
For a case where the compressor station, where the parallel-supplied gas-pumping units operate, has an excess capacity, the problem of optimal choice of the number of aggregates by a certain criterion arises. The prevailing criterion has two components. The first component is the cost of the fuel gas consumed by the compressor station. The second component is the ecological tax charged for the release of nitrogen oxides into the environment. To calculate the second component, an empirical model is synthesized in the form of a polynomial of a given degree which parameters and structure are determined using genetic algorithms. Such a model characterizes the dependence of the power of emissions of nitrogen oxides on the technological parameters that characterize the process of combustion of natural gas in the combustion chamber.
In the generated problem of power emissions are calculated by the average values of technological parameters, which generates their fuzziness. Each parameter is characterized as the fuzzy value by a triangular membership function that is approximated by the Gaussian function.
The formalized problem of choosing the optimal number of parallel operating units has in its composition the optimality criterion as fuzzy value and the limitations are determined by the given volume of pumped natural gas by the compressor station and the maximum allowable number of aggregates in each group of superchargers.
The introduction of fuzziness generates a discrete nonlinear programming problem with linear constraints. For its solution, the method of boundaries and branches is used, on the basis of which algorithms and software are developed. The software is tested on the developed example, where the data used to determine the operation of the compressor station is used.
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