Mathematical Methods of Relative Engine Performance Diagnostics

The basic concepts and mathematics of a methodology that allows successful relative assessment of simultaneously occurring multiple faults in gas turbine engine modules and sensors, are presented in detail. Included are a detailed exposition of a thermodynamic/differential equation based model of a representative type of gas turbine engine; discussion of correction methods to minimize data scatter; the mathematical design aspects of a demonstratedly successful approach to data filtering to deal with residual scatter caused by large or small sensor errors, data correction errors, or engine system modelling errors.