Matrix Algebra and Balances
For the mathematical representation of a process and for the achievement of mass, energy and exergy balances of the system, the incidence matrix is described and determined, for the subsystem of a process, piece of equipment by piece of equipment and for the two subsystems. It has also being defined and determined for the process as a whole, with the aim to establish the advantages and disadvantages of using a certain aggregation level, in addition to the equivalence between using a higher or lower one. In each case the mass, energy and exergy balances have been calculated, discussing the results obtained. As a final step, final thoughts over the advisability of using different levels of aggregation and the quality of the data which would be obtained are presented.