Method of principal components in solvsng task of GAS TURBINE PARAMETERS indirect measurings

M.V. Shevchenko, S.V. Yepifanov

The problem of the gas turbine engine nonmetering parameters deviations estimation using deviation of monitored parameters statistical analysis has been handled. Possible changing of the engine technical condition and lack of information about this changing caused by metering system limited capacity has been taken into account. Thrust was considered as nonmetering parameter. Variance analysis for linear system of equations in matrix form has been carried out. Multicollinearity of the assigned task design matrix elements has been found out. The principal component analysis with succeeding regression on principal components procedure that allows estimating biased assessments has been suggested and analyzed. The GTE with five metering parameters and twenty three parameters of technical condition was considered as observation object The faults of the engine gas path were modeled using nonlinear component–based model of observable object. The assessments of parameters deviation have been obtained and have been compared with nonlinear model results. The accuracy of assessments has been estimated.

Key words: gas turbine engine, diagnostics, thrust, correlation matrix, statistical assessment, principal components.