In this paper, thermal systems are simulated and analyzed with a new approach. Thermal system design equations can be obtained as a nonlinear algebraic equation system and then this nonlinear equation system is converted to a well-defined or non-well-defined linear equation system. The transformation of the nonlinear system equations to linear system equations is realized by using the first-order Taylor series expansion; after that, the linear system of equations of our thermal system is obtained. These linear equations are then solved by our new suggested approach. This new algorithm and conventional solution methods are applied for designing some thermal systems, such as the heat exchangers combination and the gas turbine plant using design calculations. Obtained conventional and new approach results for those samples of thermal systems are compared and interpreted.

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