This paper presents a systematic approach to the multivariable robust control of a hybrid fuel cell gas turbine plant. The hybrid configuration under investigation comprises a physical simulation of a 300 kW fuel cell coupled to a 120 kW auxiliary power unit single spool gas turbine. The facility provides for the testing and simulation of different fuel cell models that in turn help identify the key issues encountered in the transient operation of such systems. An empirical model of the facility consisting of a simulated fuel cell cathode volume and balance of plant components is derived via frequency response data. Through the modulation of various airflow bypass valves within the hybrid configuration, Bode plots are used to derive key input/output interactions in transfer function format. A multivariate system is then built from individual transfer functions, creating a matrix that serves as the nominal plant in an H-infinity robust control algorithm. The controller’s main objective is to track and maintain hybrid operational constraints in the fuel cell’s cathode airflow and the turbo machinery states of temperature and speed under transient disturbances. This algorithm is then tested on a SIMULINK/MATLAB platform for various perturbations of load and fuel cell heat effluence.

1.
Tucker
,
D.
, and
Liese
,
E.
, 2003, “
Fuel Cell Gas Turbine Hybrid Simulation Facility Design
,”
ASME International Mechanical Engineering Congress and Exposition
, New Orleans, LA.
2.
Tucker
,
D.
,
Lawson
,
L.
, and
Gemmen
,
R.
, 2005, “
Characterization of Air Flow Management and Control in a Fuel Cell Turbine Hybrid Power System Using Hardware Simulation
,” ASME Paper No. GT2005-50127.
3.
Skogestad
,
S.
, and
Postlethwaite
,
I.
, 2005,
Multivariable Feedback Control, Analysis and Design
, 2nd ed.,
Wiley
,
New York
.
4.
Torkel
,
G.
, and
Ljung
,
L.
, 2000,
Control Theory, Multivariable and Nonlinear Methods
,
Taylor & Francis
,
London
.
5.
Tsai
,
A.
,
Banta
,
L.
,
Tucker
,
D.
, and
Lawson
,
L.
, 2007, “
Determination of an Empirical Transfer Function of a Solid Oxide Fuel Cell Gas Turbine Hybrid System Via Frequency Response Analysis
,” ASME Paper No. FC2007-25099.
6.
Lewis
,
F.
, 1992,
Applied Optimal Control and Estimation: Digital Design and Implementation
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
7.
Tsai
,
A.
, 2007, “
Multivariable Robust Control of a Simulated Hybrid Solid Oxide Fuel Cell Gas Turbine Plant
,” Ph.D. dissertation, Faculty of Engineering and Mineral Resources, West Virginia University.
8.
Katsuhiko
,
O.
, 2002,
Modern Control Engineering
, 4th ed.,
Prentice-Hall
,
Englewood Cliffs, NJ
.
9.
Morgans
,
A.
, and
Dowling
,
A.
, 2005, “
Model Based Control of Combustion Instabilities
,” ASME Paper No. GT2005-68897.
10.
McFarlane
,
D.
, and
Glover
,
K.
, 1992, “
A Loop Shaping Design Procedure Using H∞ Synthesis
,”
IEEE Trans. Autom. Control
0018-9286,
37
, pp.
759
769
.
11.
Boyd
,
S.
, 1987, “
H∞ Optimal Control Theory
,”
Information Systems Laboratory CDC Workshop
, Electrical Engineering Department, Stanford University.
12.
Tsai
,
A.
,
Banta
,
L.
,
Tucker
,
D.
, and
Gemmen
,
R.
, 2008, “
RGA Analysis of a Solid Oxide Fuel Cell Gas Turbine Hybrid Plant
,” ASME Paper No. FC2008-65070.
13.
Gugercin
,
S.
, and
Antoulas
,
A. C.
, 2004, “
A Survey of Model Reduction by Balanced Truncation and Some New Results
,”
Int. J. Control
0020-7179,
77
(
8
), pp.
748
766
.
14.
Chih-Yuan
,
C.
, and
Perng
,
M. H.
, 1997, “
Optimal Anti-Windup Control of Saturating Discrete-Time MIMO Systems
,”
Int. J. Control
0020-7179,
67
(
6
), pp.
933
959
.
15.
Hippe
,
P.
, 2006, “
Windup Prevention for Stable and Unstable MIMO Systems
,”
Int. J. Syst. Sci.
0020-7721,
37
(
2
), pp.
67
78
.
You do not currently have access to this content.