This paper presents a new nonlinear controller design approach for a hydraulic power plant focusing on load frequency control aspect. It is based on input state feedback linearization and sliding mode/H control. Simulation results for a nonlinear dynamic model of entire hydropower plant are presented and compared to those from the classical linear proportional-integral (PI) controller. A novel two-stage scheme for the nonlinear controller design with integral feedback is presented for a fast transient response and zero steady-state error.

References

References
1.
Balmer
,
M.
,
Spreng
,
D.
, and
Letcher
,
T.
,
2008
,
Future Energy: Improved, Sustainable and Clean Options for Our Planet
,
Elsevier Science
, Boston, MA, pp.
193
200
.
2.
Kundur
,
P.
,
1994
,
Power System Stability and Control
,
1st ed.
,
McGraw-Hill Professional
,
New York
, Chaps. 9 and 11.
3.
Orelind
,
G.
,
Wozniak
,
L.
,
Medanic
,
J.
, and
Whittemore
,
T.
,
1989
, “
Optimal PID Gain Schedule for Hydrogenerators Design and Application
,”
IEEE Trans. Energy Convers.
,
4
(
3
), pp.
300
307
.
4.
Malik
,
O. P.
, and
Zeng
,
Y.
,
1995
, “
Design of a Robust Adaptive Controller for a Water Turbine Governing System
,”
IEEE Trans. Energy Convers.
,
10
(
2
), pp.
354
359
.
5.
Venayagamoorthy
,
G. K.
, and
Harley
,
R. G.
,
2001
, “
A Continually Online Trained Neurocontroller for Excitation and Turbine Control of a Turbogenerator
,”
IEEE Trans. Energy Convers.
,
16
(
3
), pp.
261
269
.
6.
Eker
,
I.
,
2004
, “
Governors for Hydro-Turbine Speed Control in Power Generation: A SIMO Robust Design Approach
,”
Energy Convers. Manage.
,
45
, pp.
2207
2221
.
7.
Sivaramakrishnan
,
A. Y.
,
Hariharan
,
M. V.
, and
Srisailam
,
M. C.
,
1984
, “
Design of Variable-Structure Load-Frequency Controller Using Pole Assignment Technique
,”
Int. J. Control
,
40
(
3
), pp.
487
498
.
8.
Chan
,
W.
, and
Hsu
,
Y.
,
1983
, “
Optimal Control of Electric Power Generation Using Variable Structure Controllers
,”
Electr. Power Syst. Res.
,
6
(
4
), pp.
269
278
.
9.
Bengiamin
,
N. N.
, and
Chan
,
W. C.
,
1982
, “
Variable Structure Control of Electric Power Generation
,”
IEEE Trans. Power Appar. Syst.
,
PAS-101
(
2
), pp.
376
380
.
10.
Ding
,
X.
, and
Sinha
,
A.
,
2011
, “
Sliding Mode/H∞Control of a Hydropower Plant
,”
American Control Conference
, San Francisco, CA, June 29–July 1, pp. 5201–5206.
11.
Fang
,
Y.
,
Hao
,
L.
,
Sun
,
Y.
,
Lin
,
W.
, and
Shen
,
T.
,
2010
, “
Control of Hydraulic Turbine Generators Using Exact Feedback Linearization
,” 8th
IEEE
International Conference on Control and Automation
, Xiamen, China, June 9–11, pp.
1372
1378
.
12.
Kazemi
,
A.
,
Motlagh
,
M. R. J.
, and
Naghshbandy
,
A. H.
,
2007
, “
Application of a New Multi-Variable Feedback Linearization Method for Improvement of Power Systems Transient Stability
,”
Int. J. Electr. Power Energy Syst.
,
29
(
4
), pp.
322
328
.
13.
Quiroga
,
O. D.
,
2000
, “
Modeling and Nonlinear Control of Voltage Frequency of Hydroelectric Power Plants
,”
Ph.D. thesis
, The Technical University of Catalonia, Catalonia, Spain, Chap. 5.
14.
Drazenovic
,
B.
,
1969
, “
The Invariance Condition in Variable Structure Systems
,”
Automatica
,
5
(
3
), pp.
287
295
.
15.
Pai
,
M. C.
, and
Sinha
,
A.
,
2009
, “
Asymptotic Stability for Coupled Modal Sliding Mode Control of Vibration in Flexible Structures
,”
Shock Vib.
,
16
(
3
), pp.
319
324
.
16.
Sinha
,
A.
,
2007
,
Linear Systems: Optimal and Robust Control
,
1st ed.
,
CRC Press
,
New York
, Chap. 6.
17.
Working Group on Prime Mover and Energy Supply Models for System Dynamic Performance Studies
,
1992
, “
Hydraulic Turbine and Turbine Control Models for System Dynamic Studies
,”
IEEE Trans. Power Syst.
,
7
(
1
), pp.
167
179
.
18.
Machowski
,
J.
,
Bialek
,
J. W.
, and
Bumby
,
J. R.
,
1997
,
Power System Dynamics and Stability
,
1st ed.
,
Wiley
,
Hoboken, NJ
.
19.
Lu
,
Q.
,
Sun
,
Y.
, and
Mei
,
S.
,
2001
,
Nonlinear Control Systems and Power System Dynamics
,
1st ed.
,
Springer
,
New York
, Chap. 5.
20.
Slotine
,
J.
, and
Li
,
W.
,
1991
,
Applied Nonlinear Control
,
1st ed.
,
Prentice Hall
,
Upper Saddle River, NJ
, Chap. 6.
21.
Khalil
,
H. K.
,
2001
,
Nonlinear Systems
,
1st ed.
,
Prentice Hall
,
Upper Saddle River, NJ
, Chap. 12.
22.
Ding
,
X.
,
2011
, “
Sliding Mode/H∞ Control of Hydropower Plants
,” M.S. thesis in Mechanical Engineering, The Pennsylvania State University, University Park, PA.
23.
Utkin
,
V.
,
Guldner
,
J.
, and
Shi
,
J.
,
2009
, Sliding Mode Control in Electro-Mechanical Systems,
2nd ed.
,
CRC Press
,
New York
, pp.
1
3
.
24.
Thorne
,
D.
, and
Hill
,
E.
,
1975
, “
Extensions of Stability Boundaries of a Hydraulic Turbine Generating Unit
,”
IEEE Trans. Power Appar. Syst.
,
PAS-94
(
4
), pp.
1401
1409
.
25.
IEEE Committee Report
,
1973
, “
Dynamic Models for Steam and Hydro Turbines in Power System Studies
,”
IEEE Trans. Power Appar. Syst.
,
PAS-92
(
6
), pp.
1904
1915
.
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