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This study describes the methods of calculation of grids – hydraulic and electric. Emphasis on the mathematical basis of solving such problems. Described methods of improving the efficiency of power supply due to the simultaneous production of heat, electricity and cold.
Fig. 17.1 Small boilers on the balcony of an apartment building to heat individual apartments
Fig. 17.1a A centralized system heating and cooling new
Fig. 17.1b A centralized system heating new
Fig. 17.2 Calculation of fuel economy on a CHP gas turbine compared to separate power generation (http://twt.mpei.ac.ru/MCS/Worksheets/PTU/Vol-13.xmcd)
Fig. 17.3 Determination of equivalent fuel economy for district heating with the turbine type T (district heating) compared to separated production of the same amount of electricity and heat (http://twtmas.mpei.ac.ru/mas/Worksheets/ES/Vol-8.mcd)
Fig. 17.4 Search in Google
Fig. 17.5 Interactive computation of NaCl water solution density (http://twt.mpei.ac.ru/MCS/Worksheets/water-chem/NaCl-Water-Solution-t-omega.xmcd)
Fig. 17.6 Access to information about the file URL
Fig. 17.7 Reference in Mathcad 15
Fig. 17.8 Website page displaying physical properties of aqueous solutions of salts (Водная химия)
Fig. 17.9 Example of hydraulic calculations in Mathcad 15
Fig. 17.10 Calculation of the resistance to flow of fluid in the pipe
Fig. 17.11 Calculation of pressure difference in the pipe sections
Fig. 17.12 Example of hydraulic calculations in Mathcad Prime
Fig. 17.13 Verifying the hydraulic calculation in Mathcad Prime
Fig. 17.14 Creating a characteristic curve of fluid flow through the pump vs its head
Fig. 17.15. Example of one electrical calculation in Mathcad Prime
Fig. 17.16. The solution of an overdetermined system of linear algebraic equations in Mathcad Prime
Fig. 17.17. Analysis and solution of the "classical" system of linear algebraic equations in Mathcad Prime
Fig. 17.18 Analysis of wrongly composed linear algebraic equations
Fig. 17.19 Graphic analytic solution of underdetermined system of nonlinear algebraic equations
Fig. 17.20 Numerical solution of the problem of the optimal size of the cylinder
Fig. 17.21 Analytical solution of the problem of the optimal size of the cylinder
Fig. 17.21a Analytical solution of the problem of the optimal size of the cylinder in Maple new
Fig. 17.22 The combination of analytical and graphical methods in solving the problem of the optimum size of the cylinder