Multi-objective optimization of hot steam injection variables to control wetness parameters of steam flow within nozzles

Abstract The formation of liquid droplets in the low pressure steam turbines has devastating impacts on the turbine adiabatic efficiency and also causes the mechanical damage of blades due to the occurrence of severe erosion phenomenon. Previous investigations have shown that the injection of steam can decrease liquid mass fraction as well as the size of the averaged radius of droplets. To exploit the maximum potentials of this method, the optimization of injection variables is necessary. In the present study, the numerical solution of wet steam flow by the injection of hot steam within convergent-divergent nozzles together with a multi-objective genetic algorithm method are used to evaluate the appropriate injection parameters. It is concluded that to reduce liquid droplet size by 66% and liquid mass fraction by 13%, an injection steam flow rate of 4% of the main stream flow rate with a temperature 1.8 times of inlet steam temperature is required. Such a reduction of liquid droplet size has an enormous effect on lowering the erosion damages of blades. Furthermore, the injection drives the liquid droplets away from the solid boundaries, which is also expected to reduce the possible mechanical damages to the blades and the casings of turbine.

[1]  I. Kim,et al.  Adaptive weighted sum method for multiobjective optimization: a new method for Pareto front generation , 2006 .

[2]  Numerical simulation of a new hollow stationary dehumidity blade in last stage of steam turbine , 2011 .

[3]  F. Bakhtar,et al.  Thermodynamic properties of supercooled steam , 1979 .

[4]  Jasbir S. Arora,et al.  Survey of multi-objective optimization methods for engineering , 2004 .

[5]  Mohamed S. Gadala,et al.  Optimization of the Efficiency of Stall Control Using Air Injection for Centrifugal Compressors , 2015 .

[6]  J. Young Spontaneous condensation of steam in supersonic nozzles , 1982 .

[7]  M. V. Casey,et al.  Unsteady Numerical Study of Wet Steam Flow in a Low Pressure Steam Turbine , 2012, High Performance Computing in Science and Engineering.

[8]  Alexander J. White,et al.  Viscous and unsteady flow calculations of condensing steam in nozzles , 2005 .

[9]  P. Nardin,et al.  Erosion study of final stage blading of low pressure steam turbines , 1999 .

[10]  K. Baumann,et al.  Some recent developments in large steam turbine practice , 1921 .

[11]  Sławomir Dykas,et al.  Two-fluid model with droplet size distribution for condensing steam flows , 2016 .

[12]  J. Young,et al.  An Equation of State for Steam for Turbomachinery and Other Flow Calculations , 1988 .

[13]  V. A. Tishchenko,et al.  Experimental Study of Intrachannel Separation in a Flat Nozzle Turbine Blade Assembly With Wet Stream Flow1 , 2016 .

[14]  D. J. Ryley,et al.  Suppression of the deposition of nucleated fog droplets on steam turbine stator blades by blade heating , 1983 .

[15]  Sehyun Shin,et al.  Development of a water droplet erosion model for large steam turbine blades , 2003 .

[16]  A. G. Gerber,et al.  A general formula for the evaluation of thermodynamic and aerodynamic losses in nucleating steam flow , 2003 .

[17]  Oleksandr Romanko,et al.  Normalization and Other Topics in Multi­Objective Optimization , 2006 .

[18]  M. Yu. Egorov,et al.  Results from tests of modernized moisture separator-reheater of K-500-65/3000 turbine plants of the power unit No. 4 at the Leningrad Nuclear Power Plants (NPP) , 2012 .

[19]  Bi Sun,et al.  Experimental Study on Effects of Slot Hot Blowing on Secondary Water Droplet Size and Water Film Thickness , 2009 .

[20]  A. V. Sudakov,et al.  Upgrading the SPP-500-1 moisture separators-steam reheaters used in the Leningrad NPP turbine units , 2015 .

[21]  Satoshi Miyake,et al.  Unsteady Flow Effect on Nonequilibrium Condensation in 3-D Low Pressure Steam Turbine Stages , 2013 .

[22]  G. J. Parker Some single- and two-phase characteristics of a narrow passage for water removal from low-pressure steam turbine fixed blades , 1969 .

[23]  V. A. Tishchenko,et al.  An Experimental Study of Influence of the Steam Injection on the Profile Surface on the Turbine Nozzle Cascade Performance , 2014 .

[24]  M. Gadala,et al.  Numerical Investigation of Steady Air Injection Flow to Control Rotating Stall in Centrifugal Compressors , 2014 .

[25]  J. Young,et al.  Two-Dimensional, Nonequilibrium, Wet-Steam Calculations for Nozzles and Turbine Cascades , 1992 .

[26]  Liang Xu,et al.  Effects of hot steam injection from the slot at the trailing edge on turbine nozzle vane flow field , 2008 .