An effective method for calculating the elements of thermal power plants, which are reduced to solving systems of partial differential equations

Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, ESI SB RAS, Irkutsk, Russia

^* Corresponding author: dvapan@gmail.com

Abstract

Calculations of dynamic processes in the elements of thermal power plants (TPP) (heat exchangers, combustion chambers, turbomachines, etc.) are necessary to justify permissible and optimal operating modes, the choice of design characteristics elements, assessing their reliability, etc. Such tasks are reduced to solving partial differential equations. At present time for such calculations are mainly used finite-difference method and finite element method. These methods are cumbersome and complex. The article proposes a method, the main idea of which is to reduce the solution of equations to solving linear programming problems (LP) is demonstrated by the example heat exchanger of periodic action. The mathematical description includes the following energy balance equations for gas and ceramics, respectively, on the plane, where - indicates the length of the heat exchanger, and - the operating time. Also provides a more complex model, taking into account the spread of heat inside the balls of the ceramic backfill.