The method of dynamic calculations of elements of thermal power plants, which reduces the solution of systems of differential equations in partial derivatives to the solution of linear programming problems
Alexandr M. Kler, Danil V. Apanovich
Melentiev Energy Systems Institute of SB RAS
Calculations of dynamic processes in the elements of thermal power plants (heat exchangers, combustion chambers, turbomachines, etc.) are necessary to justify the permissible and optimal operating modes, select elements of design characteristics, assess their reliability, etc. These problems are reduced to solving systems of partial differential equations. Currently, for such calculations, the finite difference method and the finite element method are mainly used. These methods are cumbersome and complicated. The article proposes a method, the main idea of which is to reduce the solution of these systems of equations to the solution of linear programming (LP) problems. The operation of the method is demonstrated on the example of a batch heat exchanger.
numerical methods, partial differential equations, linear programming, dynamic processes