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TECHNICAL PAPERS: Gas Turbines: Controls, Diagnostics & Instrumentation

A Modular Code for Real Time Dynamic Simulation of Gas Turbines in Simulink

[+] Author and Article Information
S. M. Camporeale, B. Fortunato, M. Mastrovito

Dipartimento di Ingegneria Meccanica e Gestionale-Sezione di Macchine ed Energetica, Politecnico di Bari, Via Re David 200, 70100 Bari, Italy

J. Eng. Gas Turbines Power 128(3), 506-517 (Mar 01, 2002) (12 pages) doi:10.1115/1.2132383 History: Received December 01, 2001; Revised March 01, 2002

A high-fidelity real-time simulation code based on a lumped, nonlinear representation of gas turbine components is presented. The code is a general-purpose simulation software environment useful for setting up and testing control equipments. The mathematical model and the numerical procedure are specially developed in order to efficiently solve the set of algebraic and ordinary differential equations that describe the dynamic behavior of gas turbine engines. For high-fidelity purposes, the mathematical model takes into account the actual composition of the working gases and the variation of the specific heats with the temperature, including a stage-by-stage model of the air-cooled expansion. The paper presents the model and the adopted solver procedure. The code, developed in Matlab-Simulink using an object-oriented approach, is flexible and can be easily adapted to any kind of plant configuration. Simulation tests of the transients after load rejection have been carried out for a single-shaft heavy-duty gas turbine and a double-shaft aero-derivative industrial engine. Time plots of the main variables that describe the gas turbine dynamic behavior are shown and the results regarding the computational time per time step are discussed.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Real-time simulation software interfaced to hardware control devices

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Figure 2

Expansion model adopted for the cooled stages

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Figure 3

Simulink scheme of a cooled turbine stage

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Figure 4

Transfer functions for transducers and actuators: (a) fuel system actuator, (b) exhaust temperature transducer

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Figure 5

Simplified scheme of a single-shaft gas turbine

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Figure 6

Sequential solving technique for the gas turbine model in Fig. 5

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Figure 7

Computational grid for the compressor map interpolation

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Figure 8

Simulink scheme of the heavy duty single shaft gas turbine

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Figure 9

Simulation results for a slow load increase for the Siemens V64.3 gas turbine comparison of the real-time Simulink model with experimental data by Jansen (19), results by Kim (20), and, finally, with the result obtained by using a proven FORTRAN code (6)

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Figure 10

Dimensionless results for the single-shaft gas turbine; (a) applied load; (b) controlled variables; (c) control variables; (d) temperature and pressure at the compressor discharge (T2,p2) and the combustor exit (T3,p3)

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Figure 11

Double shaft gas turbine scheme

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Figure 12

Simulation results for the double-shaft gas turbine; the subscript numbers are referred as follows: (2) compressor exit; (3) burner exit; (4) gas generator exit; (5) power turbine exhaust gas

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Figure 13

Computer time per time step: SGT simple single-shaft gas turbine; GT1: heavy duty gas turbine; GT2: double shaft gas turbine; EUL: first order Euler scheme; HEUN: second order Heun scheme

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