# Optimization of unsteady operating modes of gas mains

Attachment | Size |
---|---|

2016_3_2_183_190.pdf | 917.66 KB |

Abstract:

We consider the problem of operating mode control of compressor stations to ensure optimal operating mode of the main gas in a wide range of gas transmission volumes for the different options of initial and boundary conditions. We propose an adaptive algorithm of designing control actions, which ensures optimality criterion and does not violate existing technological limitations.

References:

- Sardanashvily S. A. Raschotnyie metody i algoritmy. Moskva, Neft i gas (2005), (in Russian).
- Selesnev V. E., Aleshin V. V. and Klishin G. S. Metody i tehnologii chislennogo modelirovaniya gazoprovodnyh system. Moskva, Editorial URSS (2002), (in Russian).
- Sinchuk Yu., Prytula N., Prytula M. Simulation of valve operation on gas main. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**663**, 216–223 (2010), (in Ukrainian). - Sinchuk Yu., Prytula N., Prytula M. Simulation of unsteady operating mode of gas networks. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**663**, 128–132 (2010), (in Ukrainian). - Pyanylo Ya., Prytula M., Prytula N. and Lopuh N. Models of mass transfer in gas transmission systems. Mathematical modeling and computing.
**1**, n. 1, 84–96 (2014). - Boyaryn I., Borovyy R., Gryniv O. and others. Optimization of the multishop compressor stations operation with multitype gas compressor units. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**672**, 326–335 (2010), (in Ukrainian). - Prytula N., Prytula M., Dacuk A. and others. Optimization of the operating modes of gas transmission system. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**694**, 395–401 (2011), (in Ukrainian). - Prytula N. Problems of optimization of gas ﬂow distribution in gas transmission system. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**604**, 220–227 (2007), (in Ukrainian). - Prytula N. Calculation of the ﬂow distribution in the gas transmission system (steady case). Physical and mathematical modeling and information technologies.
**5**, 146–157 (2007), (in Ukrainian). - Prytula N. Problems of ﬂow control in gas transmission system. The Bulletin of Lviv Polytechnic National University titled “Computer sciences and information technologies”.
**732**, 375–382 (2012), (in Ukrainian). - Bellman R. Dynamichiskoe programirovaniye. Moskva (1960), (in Russian).
- Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V. and others. Matematicheskaya teorija optimalnyh processov. Moskva, Nauka (1976), (in Russian).
- Srochko V. A. Iteracionnyje metody resheniya zadach optimalnogo upravleniya. Moskva, Phizmatlit (2000), (in Russian).
- Hartl R. F., Sethi S. P., Vickson R. G. A Survey of the Maximum Principle for Optimal Control Problems with State Constraints. SIAM Review.
**37**, n. 2, 181–218 (1995).

Bibliography:

Math. Model. Comput. Vol.3, No.2, pp.183-190 (2016)