May 6, 2011 - (Cornell University). Optimal ESS usage with RES. May 2011. 2 / 27 ... Coupling of Energy Storage Systems and renewable resources, ...
Optimal Use of Energy Storage Systems with Renewable Energy Sources Alberto J. Lamadrid, Tim Mount and Robert Thomas
Interdisciplinary Ph.D. Workshop in Sustainable Development Columbia University, New York, May 6th 2011
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
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Outline 1
Motivation
2
Problem Formulation Background Objective Constraints FOC’s
3
Calibration Generation Test Network
4
Results
5
Conclusions
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
2 / 27
Motivation
Outline 1
Motivation
2
Problem Formulation Background Objective Constraints FOC’s
3
Calibration Generation Test Network
4
Results
5
Conclusions
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
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Motivation
Motivation What do we use for Electricity Generation?
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
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Motivation
Motivation And where does the money go?
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
5 / 27
Motivation
Motivation Renewables? Projections on new capacity from renewables
80
70
GW, summer cappacity
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Wind
Geothermal 2/
Lamadrid et al. (Cornell University)
Municipal Waste 3/
Wood and Other Biomass 4/
Solar Thermal
Optimal ESS usage with RES
Solar Photovoltaic 5/
Offshore Wind
May 2011
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Motivation
Challenge in Operation
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
7 / 27
Problem Formulation
Outline 1
Motivation
2
Problem Formulation Background Objective Constraints FOC’s
3
Calibration Generation Test Network
4
Results
5
Conclusions
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
8 / 27
Problem Formulation
Background
Background Operation, and changes, in electrical systems Coupling of Energy Storage Systems and renewable resources, [EAC(2008)], [Moslehi and Kumar(2010)]. Loads that have a time to service, service aggregators [Papavasiliou and Oren(2008)]. Impacts from PHEV’s [Kintner-Meyer, Schneider, and Pratt(2007)], [Mount et al.(2009)Mount, Lamadrid, Maneevitjit, Thomas, and Zimmerman]. Utility scale energy storage experience[Tanaka, Yoshinaga, and Kobayashi(2008)].
Smart grid and dynamic updates [Pratt et al.(2010)Pratt, Balducci, Gerkensmeyer, Katipamula, Kintner-Meyer, S Power system operation considerations [Chiang, Wang, and Flueck(1997)]. New operations methods, Risk limiting [Varaiya, Wu, and Bialek(2011)]
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
May 2011
9 / 27
Problem Formulation
Objective
Simplified Objective Function min f (x, p) + C (p, I) + fu (x, p, e)
(1)
g(x, p, e) = 0
(2)
h(x, p, e) ≤ 0
(3)
xmin ≤ x ≤ xmax
(4)
0 ≤ p ≤ pmax
(5)
emin ≤ e ≤ emax
(6)
x,p,e,I
subject to
x l ≤ A p ≤ u e
Lamadrid et al. (Cornell University)
Optimal ESS usage with RES
(7)
May 2011
10 / 27
Problem Formulation
Constraints
Multiperiod OPF Use system replication for each time period. Link periods by ramping constraints. i −rgi ≤ pti − pt−1 ≤ rgi
(8)
−rei
(9)
≤
pti
−
i pt−1
≤
rei
Add constraints for ESS management lei ≤
X
pti · t ≤ uei , ∀i ∈ E , t ∈ T
(10)
t
