78 research outputs found
3D shape optimisation of a low-pressure turbine stage
The possibility of reducing the flow losses in low-pressure turbine stage has been investigated in an iterative process using a novel hybrid optimisation algorithm. Values of the maximised objective function that is isentropic efficiency are found from 3D RANS computation of the flowpath geometry, which was being changed during the optimisation process. To secure the global flow conditions, the constraints have been imposed on the mass flow rate and reaction. Among the optimised parameters are stator and rotor twist angles, stator sweep and lean, both straight and compound. Blade profiles remained unchanged during the optimisation. A new hybrid stochastic-deterministic algorithm was used for the optimisation of the flowpath. In the proposed algorithm, the bat algorithm was combined with the direct search method of Nelder-Mead in order to refine the best obtained solution from the standard bat algorithm. The method was tested on a wide variety of well-known test functions. Also, the results of the optimisation of the other stochastic and deterministic methods were compared and discussed. The optimisation gives new 3D-stage designs with increased efficiency comparing to the original design.This work was supported by The National Science Centre, Grant No. 2015/17/N/ST8/01782
ΠΠ΅ΡΠΎΠ΄Ρ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΡΡΠ±ΠΈΠ½ ΠΎΡΠ΅Π²ΠΎΠ³ΠΎ ΡΠΈΠΏΠ° Π΄Π»Ρ ΠΊΠΎΠ³Π΅Π½Π΅ΡΠ΅ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΡΠ°Π½ΠΎΠ²ΠΊΠΈ ORC, ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΠ°Ρ Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ°Π±ΠΎΡΠ΅Π³ΠΎ ΡΠ΅Π»Π° ΡΠΈΠ»ΠΈΠΊΠ°ΡΠ½ΠΎΠ΅ ΠΌΠ°ΡΠ»ΠΎ (MDM)
The paper describes two methods for the design of blading systems of axial turbines for an Organic Rankine Cycle (ORC) cogeneration unit working with silica oil MDM. The algorithms are based on mathematical models of various levels of complexity β from 1D to 3D. Geometry of flow parts is described with the help of analytical methods of profiling using a limited number of parameters. The 3D turbulent flow model is realised in the software complex IPMFlow, which is developed based on the earlier codes FlowER and FlowERU, or in software complex ANSYS. Examples of developed turbines for a 500 kW machine are presented.ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ ΡΡΡΠ±ΠΈΠ½ ΠΎΡΠ΅Π²ΠΎΠ³ΠΎ ΡΠΈΠΏΠ°. ΠΠ»Π³ΠΎΡΠΈΡΠΌ ΠΎΡΠ½ΠΎΠ²Π°Π½ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΡΠΎΠ²Π½Π΅ΠΉ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ β ΠΎΡ 1D Π΄ΠΎ 3D. ΠΠΏΠΈΡΠ°Π½ΠΈΠ΅ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΠΈ ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ Π²ΡΠΏΠΎΠ»Π½ΡΠ΅ΡΡΡ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΡΠΎΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΠΈΡΡ
ΠΎΠ΄Π½ΡΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ Π΄Π»Ρ ΠΊΠΎΡΠΎΡΡΡ
ΡΠ»ΡΠΆΠΈΡ ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½Π½ΠΎΠ΅ ΡΠΈΡΠ»ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π²Π΅Π»ΠΈΡΠΈΠ½. ΠΠΎΠ΄Π΅Π»Ρ 3D ΡΡΡΠ±ΡΠ»Π΅Π½ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π° Π² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ IPMFlow, ΠΊΠΎΡΠΎΡΡΠΉ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ΠΌ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ FlowER ΠΈ FlowER-U ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ ANSYS. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΠΏΡΠΈΠΌΠ΅ΡΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΡ
ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ ΡΡΡΠ±ΠΈΠ½ ΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠ°ΡΠΈΠ½ ΠΌΠΎΡΠ½ΠΎΡΡΡΡ 500 ΠΊΠΡ
ΠΠ΅ΡΠΎΠ΄ΠΈ ΠΏΡΠΎΠ΅ΠΊΡΡΠ²Π°Π½Π½Ρ ΡΡΡΠ±ΡΠ½ ΠΎΡΡΠΎΠ²ΠΎΠ³ΠΎ ΡΠΈΠΏΡ Π΄Π»Ρ ΠΊΠΎΠ³Π΅Π½Π΅ΡΠ°ΡΡΠΉΠ½ΠΎΡ ΡΡΡΠ°Π½ΠΎΠ²ΠΊΠΈ ORC, ΡΠΊΠ° Π²ΠΈΠΊΠΎΡΠΈΡΡΠΎΠ²ΡΡ Π² ΡΠΊΠΎΡΡΡ ΡΠΎΠ±ΠΎΡΠΎΠ³ΠΎ ΡΡΠ»Π° ΡΠΈΠ»ΡΠΊΠ°ΡΠ½Π΅ ΠΌΠ°ΡΠ»ΠΎ
The paper describes two methods for the design of blading systems of axial turbines for an OrganicRankine Cycle (ORC) cogeneration unit working with silica oil MDM. The algorithms are based onmathematical models of various levels of complexity β from 1D to 3D. Geometry of flow parts is described withthe help of analytical methods of profiling using a limited number of parameters. The 3D turbulent flow model isrealised in the software complex IPMFlow, which is developed based on the earlier codes FlowER and FlowERU,or in software complex ANSYS. Examples of developed turbines for a 500 kW machine are presented.ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ ΡΡΡΠ±ΠΈΠ½ ΠΎΡΠ΅Π²ΠΎΠ³ΠΎ ΡΠΈΠΏΠ°. ΠΠ»Π³ΠΎΡΠΈΡΠΌ ΠΎΡΠ½ΠΎΠ²Π°Π½ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΡΠΎΠ²Π½Π΅ΠΉ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ β ΠΎΡ 1D Π΄ΠΎ 3D. ΠΠΏΠΈΡΠ°Π½ΠΈΠ΅ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΠΈ ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ Π²ΡΠΏΠΎΠ»Π½ΡΠ΅ΡΡΡ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΡΠΎΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΠΈΡΡ
ΠΎΠ΄Π½ΡΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ Π΄Π»Ρ ΠΊΠΎΡΠΎΡΡΡ
ΡΠ»ΡΠΆΠΈΡ ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½Π½ΠΎΠ΅ ΡΠΈΡΠ»ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π²Π΅Π»ΠΈΡΠΈΠ½. ΠΠΎΠ΄Π΅Π»Ρ 3D ΡΡΡΠ±ΡΠ»Π΅Π½ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠ΅Π°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π° Π² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ IPMFlow, ΠΊΠΎΡΠΎΡΡΠΉ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ΠΌ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ FlowER ΠΈ FlowER-U ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ ANSYS. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΠΏΡΠΈΠΌΠ΅ΡΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΡ
ΠΏΡΠΎΡΠΎΡΠ½ΡΡ
ΡΠ°ΡΡΠ΅ΠΉ ΡΡΡΠ±ΠΈΠ½ ΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠ°ΡΠΈΠ½ ΠΌΠΎΡΠ½ΠΎΡΡΡΡ 500 ΠΊΠΡ.ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΈ ΠΏΡΠΎΠ΅ΠΊΡΡΠ²Π°Π½Π½Ρ ΠΏΡΠΎΡΠΎΡΠ½ΠΈΡ
ΡΠ°ΡΡΠΈΠ½ ΡΡΡΠ±ΡΠ½ ΠΎΡΡΠΎΠ²ΠΎΠ³ΠΎ ΡΠΈΠΏΡ. ΠΠ»Π³ΠΎΡΠΈΡΠΌ Π±Π°Π·ΡΡΡΡΡΡ Π½Π° Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ ΡΡΠ·Π½ΠΈΡ
ΡΡΠ²Π½ΡΠ² ΡΠΊΠ»Π°Π΄Π½ΠΎΡΡΡ - Π²ΡΠ΄ 1D Π΄ΠΎ 3D. ΠΠΏΠΈΡ Π³Π΅ΠΎΠΌΠ΅ΡΡΡΡ ΠΏΡΠΎΡΠΎΡΠ½ΠΈΡ
ΡΠ°ΡΡΠΈΠ½ Π²ΠΈΠΊΠΎΠ½ΡΡΡΡΡΡ Π·Π° Π΄ΠΎΠΏΠΎΠΌΠΎΠ³ΠΎΡ ΠΌΠ΅ΡΠΎΠ΄ΡΠ² Π°Π½Π°Π»ΡΡΠΈΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΡΠ»ΡΠ²Π°Π½Π½Ρ, ΠΏΠΎΡΠ°ΡΠΊΠΎΠ²ΠΈΠΌΠΈ Π΄Π°Π½ΠΈΠΌΠΈ Π΄Π»Ρ ΡΠΊΠΈΡ
ΡΠ»ΡΠΆΠΈΡΡ ΠΎΠ±ΠΌΠ΅ΠΆΠ΅Π½Π΅ ΡΠΈΡΠ»ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ½ΠΈΡ
Π²Π΅Π»ΠΈΡΠΈΠ½. ΠΠΎΠ΄Π΅Π»Ρ 3D ΡΡΡΠ±ΡΠ»Π΅Π½ΡΠ½ΠΎΡ ΡΠ΅ΡΡΡ ΡΠ΅Π°Π»ΡΠ·ΠΎΠ²Π°Π½Π° Π² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠ½ΠΎΠΌΡ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΡ IPMFlow, ΡΠΊΠΈΠΉ Ρ ΡΠΎΠ·Π²ΠΈΡΠΊΠΎΠΌ ΠΏΡΠΎΠ³ΡΠ°ΠΌ FlowER Ρ FlowER-U ΡΠ° ΠΏΡΠΎΠ³ΡΠ°ΠΌΠ½ΠΎΠΌΡ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΡ ANSYS. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΠΏΡΠΈΠΊΠ»Π°Π΄ΠΈ ΡΠΎΠ·ΡΠΎΠ±Π»Π΅Π½ΠΈΡ
ΠΏΡΠΎΡΠΎΡΠ½ΠΈΡ
ΡΠ°ΡΡΠΈΠ½ ΡΡΡΠ±ΡΠ½ Π΅Π½Π΅ΡΠ³Π΅ΡΠΈΡΠ½ΠΈΡ
ΠΌΠ°ΡΠΈΠ½ ΠΏΠΎΡΡΠΆΠ½ΡΡΡΡ 500 ΠΊΠΡ
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