This paper focuses on no-load stability during startup-grid integration process. First, no-load operating dynamic character under startup-grid integration process is studied by bifurcation diagram, based on a classical pumped storage plant model. Second, the no-load stability of pump turbine was analyzed by introducing step disturbance and slopes. Finally, the results indicate that the no-load operating point is easy to be disturbed and some factors, such as different disturbance intensity and slopes, have different influence on no-load stability. These methods and results will supply theoretical basis for operating the pumped storage plant steadily.

References

1.
Xu
,
B.
,
Chen
,
D.
,
Zhang
,
H.
, and
Zhou
,
R.
,
2015
, “
Dynamic Analysis and Modeling of a Novel Fractional-Order Hydro-Turbine-Generator Unit
,”
Nonlinear Dyn.
,
81
(
3
), pp.
1263
1274
.
2.
Shakya
,
S. R.
, and
Shrestha
,
R. M.
,
2011
, “
Transport Sector Electrification in a Hydropower Resource Rich Developing Country: Energy Security, Environmental and Climate Change Co-Benefits
,”
Energy Sustain Dev.
,
15
(
2
), pp.
147
159
.
3.
Ahmed
,
A.
, and
Khalid
,
M.
,
2019
, “
A Review on the Selected Applications of Forecasting Models in Renewable Power Systems
,”
Renewable Sustainable Energy Rev.
,
100
, pp.
9
21
.
4.
Meza
,
C.
,
Rodriguez
,
C.
,
D'Aquino
,
C.
,
Amado
,
N.
,
Rodrigues
,
A.
, and
Sauer
,
I.
,
2019
, “
Toward a 100% Renewable Island: A Case Study of Ometepe's Energy Mix
,”
Renewable Energy
,
132
, pp.
628
648
.
5.
Szypowski
,
M.
,
Siewierski
,
T.
, and
Wedzik
,
A.
,
2019
, “
Optimization of Energy-Supply Structure in Residential Premises Using Mixed-Integer Linear Programming
,”
IEEE Trans. Ind. Electron.
,
66
(
2
), pp.
1368
1378
.
6.
Cavazzini
,
G.
,
Covi
,
A.
,
Pavesi
,
G.
, and
Ardizzon
,
G.
,
2016
, “
Analysis of the Unstable Behavior of a Pump-Turbine in Turbine Mode: Fluid-Dynamic and Spectral Characterization of the S-Shape Characteristic
,”
ASME J. Fluids Eng.
,
138
(
2
), p.
021105
.
7.
Pacot
,
O.
,
Kato
,
C.
,
Guo
,
Y.
,
Yamade
,
Y.
, and
Avellan
,
F.
,
2016
, “
Large Eddy Simulation of the Rotating Stall in a Pump-Turbine Operated in Pumping Mode at a Part-Load Condition
,”
ASME J. Fluids Eng.
,
138
(
11
), p.
111102
.
8.
Schiffer
,
J.
,
Benigni
,
H.
, and
Jaberg
,
H.
,
2017
, “
Analysis of the Leakage Behavior of Francis Turbines and Its Impact on the Hydraulic Efficiency-A Validation of an Analytical Model Based on Computational Fluid Dynamics Results
,”
ASME J. Fluids Eng.
,
139
(
2
), p.
021106
.
9.
Kusakana
,
K.
,
2016
, “
Optimal Scheduling for Distributed Hybrid System With Pumped Hydro Storage
,”
Energy Convers Manage.
,
111
, pp.
253
260
.
10.
Trivedi
,
C.
,
Gandhi
,
B.
, and
Michel
,
C.
,
2013
, “
Effect of Transients on Francis Turbine Runner Life: A Review
,”
J. Hydraul. Res.
,
51
(
2
), pp.
121
132
.
11.
Wang
,
F.
, and
Jiang
,
J.
,
2011
, “
A Novel Static Frequency Converter Based on Multilevel Cascaded H-Bridge Used for the Startup of Synchronous Motor in Pumped-Storage Power Station
,”
Energy Convers Manage.
,
52
(
5
), pp.
2085
2091
.
12.
McPherson
,
M.
,
Harvey
,
L. D. D.
, and
Karney
,
B.
,
2017
, “
System Design and Operation for Integrating Variable Renewable Energy Resources Through a Comprehensive Characterization Framework
,”
Renewable Energy
,
113
, pp.
1019
1032
.
13.
Schmidt
,
J.
,
Kemmetmüller
,
W.
, and
Kugi
,
A.
,
2017
, “
Modeling and Static Optimization of a Variable Speed Pumped Storage Power Plant
,”
Renewable Energy
,
111
, pp.
38
51
.
14.
Zhang
,
H.
,
Chen
,
D.
,
Wu
,
C.
,
Wang
,
X.
,
Lee
,
J.-M.
, and
Jung
,
K.-H.
,
2017
, “
Dynamic Modeling and Dynamical Analysis of Pump-Turbines in S-Shaped Regions During Runaway Operation
,”
Energy Convers Manage.
,
138
, pp.
375
382
.
15.
Liu
,
J.
,
Liu
,
S.
,
Sun
,
Y.
,
Zuo
,
Z.
,
Wu
,
Y.
, and
Wang
,
L.
,
2012
, “
Instability Study of a Pump-Turbine at No Load Opening Based on (v(2))Over Bar—F Turbulence Model
,”
26th Iahr Symposium on Hydraulic Machinery and Systems
, Beijing, China, Aug. 19–23, pp.
1
7
.
16.
Li
,
C.
,
Mao
,
Y.
,
Yang
,
J.
,
Wang
,
Z.
, and
Xu
,
Y.
,
2017
, “
A Nonlinear Generalized Predictive Control for Pumped Storage Unit
,”
Renewable Energy
,
114
, pp.
945
959
.
17.
Ahn
,
S.
,
Xiao
,
Y.
,
Wang
,
Z.
,
Zhou
,
X.
, and
Luo
,
Y.
,
2017
, “
Performance Prediction of a Prototype Tidal Power Turbine by Using a Suitable Numerical Model
,”
Renewable Energy
,
113
, pp.
293
302
.
18.
Xu
,
B.
,
Chen
,
D.
,
Behrens
,
P.
,
Ye
,
W.
,
Guo
,
P.
, and
Luo
,
X.
,
2018
, “
Modeling Oscillation Modal Interaction in a Hydroelectric Generating System
,”
Energy Convers. Manage.
,
174
, pp.
208
217
.https://doi.org/10.1016/j.enconman.2018.08.034
19.
Cavazzini
,
G.
,
Houdeline
,
J.
,
Pavesi
,
G.
,
Teller
,
O.
, and
Ardizzon
,
G.
,
2018
, “
Unstable Behaviour of Pump-Turbines and Its Effects on Power Regulation Capacity of Pumped-Hydro Energy Storage Plants
,”
Renewable Sustainable Energy Rev.
,
94
, pp.
399
409
.
20.
Olimstad
,
G.
,
Nielsen
,
T.
, and
Borresen
,
B.
,
2012
, “
Stability Limits of Reversible-Pump Turbines in Turbine Mode of Operation and Measurements of Unstable Characteristics
,”
ASME J. Fluids Eng.
,
134
(
11
), p.
111202
.
21.
Olimstad
,
G.
,
Nielsen
,
T.
, and
Borresen
,
B.
,
2012
, “
Dependency on Runner Geometry for Reversible-Pump Turbine Characteristics in Turbine Mode of Operation
,”
ASME J. Fluids Eng.
,
134
(
12
), p.
121102
.
22.
Rezghi
,
A.
, and
Riasi
,
A.
,
2018
, “
The Interaction Effect of Hydraulic Transient Conditions of Two Parallel Pump-Turbine Units in a Pumped-Storage Power Plant With Considering ‘S-Shaped’ Instability Region: Numerical Simulation
,”
Renewable Energy
,
118
, pp.
896
908
.
23.
Rezghi
,
A.
, and
Riasi
,
A.
,
2016
, “
Sensitivity Analysis of Transient Flow of Two Parallel Pump-Turbines Operating at Runaway
,”
Renewable Energy
,
86
(C), pp.
611
622
.
24.
Xiao
,
Y.
,
Zhu
,
W.
,
Wang
,
Z.
,
Zhang
,
J.
,
Ahn
,
S.
, and
Zeng
,
C.
,
2018
, “
Numerical Analysis of the Effect of Misaligned Guide Vanes on Improving S-Shaped Characteristics for a Pump-Turbine
,”
ASME J. Fluids Eng.
,
140
(
3
), p.
031102
.
25.
Nicolet
,
C.
,
Alligné
,
S.
, and
Kawkabani
,
B.
,
2008
, “
Unstable Operation of Francis Pump-Turbines at Runaway: Rigid and Elastic Water Column Oscillation Mode
,”
24th IAHR Symposium on Hydraulic Machinery and Systems
, Foz Do Iguaçú, Brazil, Oct. 27–31, pp. 324--333.
26.
Sun
,
H.
,
Xiao
,
R.
,
Liu
,
W.
, and
Wang
,
F.
,
2013
, “
Analysis of S Characteristics and Pressure Pulsations in a Pump-Turbine With Misaligned Guide Vanes
,”
ASME J. Fluids Eng.
,
135
(
5
), p.
051101
.
27.
Zhang
,
H.
,
Chen
,
D.
,
Guo
,
P.
,
Luo
,
X.
, and
George
,
A.
,
2018
, “
A Novel Surface-Cluster Approach Towards Transient Modeling of Hydro-Turbine Governing Systems in the Start-Up Process
,”
Energy Convers. Manage.
,
165
, pp.
861
868
.
28.
IEC
,
1999
, “
Hydraulic Turbines, Storage Pumps and Pump-Turbines—Model Acceptance Tests
,” International Electrotechnical Commission, Geneva, Switzerland, Standard No.
IEC 60193
.https://webstore.iec.ch/publication/1014
29.
Jaeger
,
E.
,
Janssens
,
N.
, and
Malfliet
,
B.
,
1994
, “
Hydro Turbine Model for System Dynamic Studies
,”
IEEE Trans. Power Syst.
,
9
(
4
), pp.
1709
1715
.
30.
Houdeline
,
J.
,
Liu
,
J.
,
Lavigne
,
S.
,
Laurant
,
Y.
, and
Balara
,
L.
,
2012
, “
Start-Up Improvement in Turbine Mode for High Head PSP Machine
,”
Proc. IOP Conf. Ser. Earth Environ. Sci.
,
15
, p.
402D9
.
31.
Kumar
,
A.
,
Srivastava
,
P.
, and
Gupta
,
R.
,
2019
, “
Nonlinear Dynamics of Infectious Diseases Via Information-Induced Vaccination and Saturated Treatment
,”
Math. Comput. Simul.
,
157
, pp.
77
99
.
32.
Min
,
N.
, and
Wang
,
M.
,
2019
, “
Hopf Bifurcation and Steady-State Bifurcation for a Leslie-Gower Prey-Predator Model With Strong Allee Effect in Prey
,”
Discrete Contin. Dyn. Syst.
,
39
(
2
), pp.
1071
1099
.
33.
Sun
,
Z.
,
Zhang
,
X.
,
Fan
,
T.
,
Yan
,
X.
,
Zhao
,
J.
,
Zhao
,
L.
, and
Shi
,
Z.
,
2019
, “
Nonlinear Dynamic Characteristics Analysis of Active Magnetic Bearing System Based on Cell Mapping Method With a Case Study
,”
Mech. Syst. Signal Process.
,
117
, pp.
116
137
.
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