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Study 6. Symbolic mathematics and 3D-graphics in thermal engineering

ValeryOchkov
24-Ruby IV

Study 6. Symbolic mathematics and 3D-graphics in thermal engineering

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-6-6.png

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.png

Fig. 6.3. Debbuging the function, shown on the Fig. 6.2

Fig-6-4.png

Fig. 6.4. Optimization of  STP cycle with two extractions points

Fig-6-5.png 

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.png

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.png

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

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