This paper develops and validates a power flow behavioral model of a gas turbine engine (GTE) composed of a gas generator and free power turbine. The behavioral model is suitable for supervisory level (optimal) controller development of the engine itself or of electrical power systems containing gas-turbine-generator pairs as might be found in a naval ship or terrestrial electric utility plant. First principles engine models do not lend themselves to the supervisory level control development because of their high granularity. For the behavioral model, “simple” mathematical expressions that describe the engine's internal power flows are derived from an understanding of the engine's internal thermodynamic and mechanical interactions. These simple mathematical expressions arise from the balance of energy flow across engine components, power flow being the time derivative of energy flow. The parameter fit of the model to a specific engine such as the GE LM2500 detailed in this work utilizes constants and empirical fits of power conversion efficiencies obtained using data collected from a high-fidelity engine simulator such as the Gas Turbine Simulation Program (GSP). Transient response tests show that the two-norm normalized error between the detailed simulator model and behavioral model outputs to be 2.7% or less for a GE LM2500.

References

References
1.
Doerry
,
N.
,
2013
, “
Calculating Surface Ship Energy Usage, Energy Cost, and Fully Burdened Cost of Energy
,”
ASNE Naval Eng. J.
,
125
(
3
), pp.
87
90
.
2.
Doerry
,
N.
,
2012
, “
Electric Power Load Analysis
,”
ASNE Naval Eng. J.
,
124
(
4
), pp.
45
48
.
3.
Doerry
,
N.
, and
Moniri
,
K.
,
2013
, “
Specifications and Standards for the Electric Warship
,”
IEEE Electric Ships Technology Symposium
(
ESTS
), Arlington, VA, Apr. 22–24, pp.
21
28
.
4.
Meyer
,
R. T.
,
DeCarlo
,
R. A.
,
Meckl
,
P. H.
, and
Pekarek
,
S.
,
2013
, “
Hybrid Model Predictive Power Management of a Fuel-Cell Battery Vehicle
,”
Asian J. Control
,
15
(
2
), pp.
363
379
.
5.
Uthaichana
,
K.
,
DeCarlo
,
R. A.
,
Bengea
,
S. C.
,
Pekarek
,
S.
, and
Žefran
,
M.
,
2011
, “
Hybrid Optimal Theory and Predicitive Control for Power Management in Hybrid Electric Vehicle
,”
J. Nonlinear Syst. Appl.
,
2
(
1–2
), pp.
96
110
.
6.
Visser
,
W.
,
1995
, “
Gas Turbine Simulation at NLR
,”
CEAS Symposium on Simulation Technology
, Delft, The Netherlands, Oct. 30–Nov. 1, Paper No. MOD05.
7.
Visser
,
W.
,
Broomhead
,
M.
,
Kogenhop
,
O.
, and
Rademaker
,
E.
,
2010
, “
GSP Technical Manual: Version 11
,” National Aerospace Laboratory, Amsterdam, Technical Report No. NLR-TR-2010-343.
8.
Lytle
,
J. K.
,
1999
, “
The Numerical Propulsion System Simulation: A Multidisciplinary Design System for Aerospace Vehicles
,” NASA Glenn Research Center, Cleveland, OH, Technical Report No. NASA/TM-1999-209194.
9.
Meyer
,
R. T.
,
DeCarlo
,
R. A.
, and
Pekarek
,
S.
,
2014
, “
Gas Turbine Engine Behavioral Modeling
,” Department of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, Technical Report No. ECE-TR-14-01.
10.
Walsh
,
P. P.
, and
Fletcher
,
P.
,
1998
,
Gas Turbine Performance
,
Blackwell Science Ltd./ASME
,
Fairfield, NJ
.
11.
Camporeale
,
S.
,
Fortunato
,
B.
, and
Mastrovito
,
M.
,
2006
, “
A Modular Code for Real Time Dynamic Simulation of Gas Turbines in Simulink
,”
ASME J. Eng. Gas Turbines Power
,
128
(
3
), pp.
506
517
.
12.
Haglind
,
F.
, and
Elmegaard
,
B.
,
2009
, “
Methodologies for Predicting the Part-Load Performance of Aero-Derivative Gas Turbines
,”
Energy
,
34
(
10
), pp.
1484
1492
.
13.
Hung
,
W.
,
1991
, “
Dynamic Simulation of Gas-Turbine Generating Unit
,”
IEE Proc. C: Gener., Transm. Distrib.
,
138
(
4
), pp.
342
350
.
14.
Shaoji
,
Z.
,
1992
, “
A Simplified Real-Time Engine Model for Developing Aeroengine Control System
,”
AIAA
Paper No. 92-3321.
15.
Brunell
,
B.
,
Bitmead
,
R.
, and
Connolly
,
A.
,
2002
, “
Nonlinear Model Predictive Control of an Aircraft Gas Turbine Engine
,”
41st IEEE Conference on Decision and Control
(
CDC
), Las Vegas, NV, Dec. 10–13, Vol.
4
, pp.
4649
4651
.
16.
Hannett
,
L. N.
,
Jee
,
G.
, and
Fardanesh
,
B.
,
1995
, “
A Governor/Turbine Model for a Twin Shaft Combustion Turbine
,”
IEEE Trans. Power Syst.
,
1
(
1
), pp.
133
140
.
17.
Landau
,
I.
, and
Karimi
,
A.
,
1997
, “
Recursive Algorithms for Identification in Closed Loop: A Unified Approach and Evaluation
,”
Automatica
,
33
(
8
), pp.
1499
1523
.
18.
Walsh
,
P. P.
, and
Fletcher
,
P.
,
2004
,
Gas Turbine Performance
,
2nd ed.
,
Blackwell Science Ltd./ASME
,
Fairfield, NJ
.
19.
Camporeale
,
S.
, and
Fortunato
,
B.
,
1998
, “
Performance of a Mixed Gas-Steam Cycle Power Plant Obtained Upgrading an Aeroderivative Gas Turbine
,”
Energy Convers. Manage.
,
39
(
16–18
), pp.
1683
1692
.
20.
Saravanamuttoo
,
H. I. H.
,
Rogers
,
G. F. C.
,
Cohen
,
H.
, and
Straznicky
,
P.
,
2009
,
Gas Turbine Theory
,
6th ed.
,
Pearson Hall
,
Harlow, UK
.
21.
Thomas
,
P.
,
1999
,
Simulation of Industrial Processes for Control Engineers
,
1st ed.
,
Butterworth-Heinemann
,
Oxford, UK
.
22.
de Jager
,
B.
,
1995
, “
Rotating Stall and Surge Control: A Survey
,”
34th IEEE Conference on Decision and Control
(
CDC
), New Orleans, LA, Dec. 13–15, Vol.
2
, pp.
1857
1862
.
23.
Saarlas
,
M.
,
1978
,
Steam and Gas Turbines for Marine Propulsion
,
Naval Institute Press
,
Annapolis, MD
.
24.
Woodward
,
J. B.
,
1975
,
Marine Gas Turbines
,
Wiley
,
New York
.
25.
Doktorcik
,
C.
,
2011
, “
Modeling and Simulation of a Hybrid Ship Power System
,” Master's thesis, Purdue University, West Lafayette, IN.
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