American Institute of Mathematical Sciences

Advanced
2011, 2011(Special): 614-623. doi: 10.3934/proc.2011.2011.614

New regularizing approach to determining the influence coefficient matrix for gas-turbine engines

Sharif E. Guseynov 1, and  Sergey M. Yunusov 2,

1. 

Institute of Mathematical Sciences and Information Technologies, University of Liepaja, Transport and Telecommunication Institute, 1 Lomonosov Street, Riga LV-1019, Latvia
2. 

Transport and Telecommunication Institute, 1 Lomonosov Street, Riga LV-1019, Latvia

Received  July 2010 Revised  April 2011 Published  October 2011

This paper presents the new approach to the formation of the gas turbine engine diagnostic matrix employing Tikhonov regularization method and taking into account the compressor properties shift under the condition of engine air-gas channel alteration. This method allows eliminating the certain inadequacy of the diagnostic matrices in some cases and removes the restrictions on their implementation for gas turbine engines diagnostics. The elabo- rated regularization algorithm of the calculation-identi cation matrix reversion permits to determine the diagnostic matrix persistently. The suggested method of registration of the compressor properties shift allows providing the adequacy of the engine mathematical model taking into consideration the depreciation of the engine and air-gas channel and consequently obtaining the adequate diagnostic matrix. It is o ered to employ the obtained diagnostic model in the on-board systems of the gas turbine engine control and diagnostics.
Keywords: Gas-turbine engine, diagnostic matrix, Tikhonov regularization method.
Mathematics Subject Classification: Primary: 62P30, 47A52; Secondary: 62J20.
Citation: Sharif E. Guseynov, Sergey M. Yunusov. New regularizing approach to determining the influence coefficient matrix for gas-turbine engines. Conference Publications, 2011, 2011 (Special) : 614-623. doi: 10.3934/proc.2011.2011.614
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