A typical optimization problem with the objective function, optimization parameters and constraints solved in this study. The search for optimal values of the pressure of the steam extraction from the turbine for feedwater heating to improve the thermal efficiency of the Rankine cycle is used. Symbolic mathematics and graphical tools to solve this problem are described.
You can download sheets of figures:
Fig. 6.1. Calculation of cycle thermal efficiency of steam turbine with two steam extractions - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/2RegP.xmcd
See please in the attach new version of the sheet 6-01-2RegP-eng-compression.xmcdzw with new function wspHEXPANSIONPTPEFF
Fig. 6.2. Function of cycle thermal efficiency of steam turbine with two steam extractions
Fig. 6.3. Debbuging the function, shown on the Fig. 6.2
Fig. 6.4. Optimization of STP cycle with two extractions points
Fig. 6.5. Graphic illustration of the optimization problem - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/2RegP-Plot.xmcd
Fig. 6.5a. Graphic illustration of the optimization problem (not Mathcad but Maple)
Fig. 6.6. Optimization of steam turbine cycle with one steam extraction point
Fig. 6.7. Solution of the equations of material and heat balances of three mixing heaters of steam turbine unit - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/3RegP_Opt.xmcd
Fig. 6.8. Solution of the equations of material and heat balances of four mixing heaters of steam turbine unit - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/4RegP-Opt.xmcd
