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Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Modeling the Gas Turbine Engine Under Its Dynamic Heating Conditions

[+] Author and Article Information
Sergiy V. Yepifanov

Zhukovsky National Aerospace University,
Kharkov Aviation Institute,
17, Chkalov Street,
Kharkov 61070, Ukraine
e-mail: syepifanov@yandex.ru

Roman L. Zelenskyi

Zhukovsky National Aerospace University,
Kharkov Aviation Institute,
17, Chkalov Street,
Kharkov 61070, Ukraine
e-mail: meerkat_r@ukr.net

Igor Loboda

Instituto Politecnico Nacional,
Escuela Superior de Ingenieria
Mecanica y Electrica,
Av. Santa Ana, 1000,
Distrito Federal 04430, Mexico
e-mail: iloboda@ipn.mx

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 21, 2014; final manuscript received July 29, 2014; published online October 7, 2014. Editor: David Wisler.

J. Eng. Gas Turbines Power 137(3), 031506 (Oct 07, 2014) (10 pages) Paper No: GTP-14-1419; doi: 10.1115/1.4028449 History: Received July 21, 2014; Revised July 29, 2014

A modern gas turbine engine (GTE) is a complex nonlinear dynamic system with the mutual effect of gas-dynamic and thermal processes in its components. The engine development requires the precise real-time simulation of all main operating modes. One of the most complex operating modes for modeling is “cold stabilization,” which is the rotors acceleration without completely heated up the turbine elements. The dynamic heating problem is a topical practical issue. Solving the problem requires coordinating a gas-path model with heat and stress models, which is also a significant scientific problem. The phenomenon of interest is the radial clearances change during engines operation and its influence on engines static and dynamic performances. To consider the clearance change, it is necessary to synthesize the quick proceeding stress-state models (QPSSM) of a rotor and a casing for the initial temperature and dynamic heating. The unique feature of the QPSSM of GTEs is separate equation sets, which allow the heat exchange between structure elements and the gas (air) and the displacements of the turbine rotor and the casing. This ability appears as a result of determining the effect of each factor on different structural elements of the engine. The presented method significantly simplifies the model identification, which can be performed based on a precise calculation of the unsteady temperature fields of the structural elements and the variation of the radial clearance. Thus, the present paper addresses a new method to model the engine dynamics considering its heating up. The method is based on the integration of three models: the gas-path dynamics model, the clearance dynamics model, and the model of the clearance effect on the efficiency. The paper also comprises the program implementation of the models. The method was tested by applying to a particular turbofan engine.

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Figures

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Fig. 1

The effect of the relative tip clearance δ¯TC on the turbine efficiency ΔηT: ///—[9]; •—[10]

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Fig. 2

The effect of the tip clearance change δTC = 1mm on the HPT efficiency for engines of different sizes

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Fig. 3

The structure of a dynamic mathematical model of the GTE that considers the radial clearances

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Fig. 4

Model of turbine rotor

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Fig. 5

Design diagram to calculate the turbine rotor displacements

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Fig. 6

Transient performance of two CPs on a disk surface

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Fig. 7

Design model of the casing

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Fig. 8

Design model of the turbine rotor blade

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Fig. 9

Transient performance of the casing

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Fig. 10

Transient performance of CP 1 (turbine rotor blade)

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Fig. 11

Transient performance of CP 2 (turbine rotor blade)

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Fig. 12

Cycle no. 1 “take-off without heating up”

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Fig. 13

“Static” and the “dynamic” tip clearances in the turbine that correspond to cycle no. 1

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Fig. 14

Cycle no. 2 “heating up and take-off”

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Fig. 15

“Static” and the “dynamic” tip clearances in the turbine that correspond to cycle no. 2

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Fig. 16

Cycle “take-off without heating up” with the proposed fuel supply program

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Fig. 17

Thrust change with the proposed fuel supply program

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