Research Papers

Multivariable Robust Control of a Simulated Hybrid Solid Oxide Fuel Cell Gas Turbine Plant

[+] Author and Article Information
Alex Tsai, Larry Banta

U.S. Department of Energy, National Energy Technology Laboratory, 3610 Collins Ferry Rd., PO Box 880, Morgantown, WV 26507-0880; Department of Mechanical and Aerospace Engineering, West Virginia University, Engineering Sciences Building, Evansdale Dr., Room G-70, Morgantown, WV 26506-6106

David Tucker, Randall Gemmen

U.S. Department of Energy, National Energy Technology Laboratory, 3610 Collins Ferry Rd., PO Box 880, Morgantown, WV 26507-0880

J. Fuel Cell Sci. Technol 7(4), 041008 (Apr 07, 2010) (9 pages) doi:10.1115/1.4000628 History: Received June 23, 2008; Revised March 21, 2009; Published April 07, 2010; Online April 07, 2010

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.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

NETL hyper test facility

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Figure 2

Closed loop control system (4)

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Figure 3

Sensitivity and complementary sensitivity constraints (6)

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Figure 4

Simplified desired loop gain shape

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SIMULINK control configuration (3)

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Scaled and unscaled open loop singular values

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Open loop sensitivity function

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Performance and robustness bounds

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Compensated loop gain singular values

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Compensated sensitivity function singular values

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Compensated complementary sensitivity function SV

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Signal tracking: ṁFC

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Signal tracking: Ω

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Signal tracking: TIT

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Load step disturbance attenuation

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Heat step disturbance attenuation

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Figure 17

Step response to 10% zero/pole parametric uncertainty



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