© The Institution of Engineering and Technology
New electricity generation technologies are often assessed using simple metrics such as average return, break-even energy prices or levelised cost of electricity. These simple metrics do not always capture the full economic value of a technology, particularly those that can react quickly and efficiently to changes in demand. In a wholesale spot market, opportunities exist to capture greater revenues, as currently achieved by peak power plants. This study demonstrates the use of two complementary methods to determine how storage should be operated to maximise revenue. First, the authors formulate and solve the problem as a linear program. The results indicate that there are distinct control modes. They then use Pontryagin's principle to confirm that the optimal operating strategy has three distinct control modes: (i) store all collected power, without generating, (ii) generate using collected power only and (iii) generate at maximum capacity using both collected and stored power. The mode that should be used at any instant depends only on the spot price of electricity relative to a pair of critical prices. These critical prices depend on the total energy that will be collected and the turnaround efficiency of the storage system.
References
-
-
1)
-
8. Gilman, P., Blair, N., Mehos, M., Christensren, C., Janzou, S., Cameron, C.: ‘Solar advisor model: user guide for version 2.0’. , National Renewable Energy Laboratory, , 2008. .
-
2)
-
21. Marriott, K., Stuckey, P.J.: ‘A minizinc tutorial’, 2013. .
-
3)
-
4)
-
7. Behar, O., Khellaf, A., Mohammedi, K.: ‘A review of studies on central receiver solar thermal power plants’, Renew. Sustain Energy Rev., 2013, 23, pp. 12–39 (doi: 10.1016/j.rser.2013.02.017).
-
5)
-
12. Lizarraga-Garcia, E., Ghobeity, A., Totten, M., Mitsos, A.: ‘Optimal operation of a solar-thermal power plant with energy storage and electricity buy-back from grid’, Energy, 2013, 51, pp. 61–70 (doi: 10.1016/j.energy.2013.01.024).
-
6)
-
20. Henkel, N., Schmid, E., Gobrecht, E.: ‘Operational flexibility enhancements of combined cycle power plants’. , Siemens, 2007. .
-
7)
-
9. Gilman, P., Dobos, A.: ‘System advisor model, SAM 2011·12·2: general description’. , National Renewable Energy Laboratory, , 2012, .
-
8)
-
22. Wittmann, M., Eck, M., Hirsch, T., Pitz-Paal, R.: ‘Theoretical economic potential of the spanish premium tariff for solar thermal power plants’. Proc. 14th SolarPACES Conf., Las Vegas, 2008, pp. 1–8, .
-
9)
-
5. Bazmi, A.A., Zahedi, G.: ‘Sustainable energy systems: role of optimization modeling techniques in power generation and supply – a review’, Renew. Sustain Energy Rev., 2011, 15, (8), pp. 3480–3500 (doi: 10.1016/j.rser.2011.05.003).
-
10)
-
3. Cabeza, L.F. ‘3·07 – Thermal energy storage’, in Sayigh, E.i.C.A. (Ed.) ‘Compr. renew. Energy’ (Elsevier, Oxford, 2012), pp. 211–253, .
-
11)
-
M. Wittman ,
H. Breitkreutz ,
M. Schroedter-Homscheidt ,
M. Eck
.
Case studies on the use of solar irradiance forecast for optimized operation strategies of solar thermal power plants.
IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens.
,
18 -
26
-
12)
-
M. Wittman ,
M. Eck ,
R. Pitz-Pall ,
H. Müller-Steinhagen
.
Methodology for optimized operation strategies of solar thermal power plants with integrated heat storage.
Sol. Energy
,
653 -
659
-
13)
-
17. Morin, G.: ‘Optimisation of concentrating solar power (CSP) plant designs through integrated techno-economic modelling’, in Lovegrove, K., Stein, W. (Eds.): ‘Conc. sol. power technol. princ. dev. appl.’ (in Woodhead Publishing Series, in Energy, Woodhead Publishing, 2012), . 21, pp. 495–535. .
-
14)
-
11. Powell, K.M., Edgar, T.F.: ‘Modeling and control of a solar thermal power plant with thermal energy storage’, Chem. Eng. Sci., 2012, 71, pp. 138–145 (doi: 10.1016/j.ces.2011.12.009).
-
15)
-
6. Sharma, N., Varun, , Siddhartha, : ‘Stochastic techniques used for optimization in solar systems: a review’, Renew. Sustain. Energy Rev., 2011, 16, (3), pp. 1399–1411 (doi: 10.1016/j.rser.2011.11.019).
-
16)
-
16. Usaola, J.: ‘Operation of concentrating solar power plants with storage in spot electricity markets’, IET Renew. Power Gener., 2012, 6, (1), pp. 59–66 (doi: 10.1049/iet-rpg.2011.0178).
-
17)
-
4. Bãnos, R., Manzano-Agugliaro, F., Montoya, F.G., Gil, C., Alcayde, A., Gómez, J.: ‘Optimization methods applied to renewable and sustainable energy: a review’, Renew. Sustain Energy Rev., 2011, 15, (4), pp. 1753–1766 (doi: 10.1016/j.rser.2010.12.008).
-
18)
-
13. Bellman, R.: ‘On the theory of dynamic programming’, Proc. Natl. Acad. Sci. USA, 1952, 38, (8), pp. 716–719 (doi: 10.1073/pnas.38.8.716).
-
19)
-
2. Hoffschmidt, B., Alexopoulos, S., Göttsche, J., Sauerborn, M., Kaufhold, O.: ‘3·06 – High concentration solar collectors’, in Sayigh, E.i.C.A. (Ed.): ‘Compr. renew. Energy’ (Elsevier, Oxford, 2012), pp. 165–209, .
-
20)
-
10. Lovegrove, K., Franklin, S., Elliston, B.: ‘Australian companion guide to SAM for concentrating solar power’. , Australian Solar Thermal Energy Association (AUSTELA), 2013, .
-
21)
-
1. Lovegrove, K., Pye, J.: ‘Fundamental principles of concentrating solar power {(CSP)} systems’, in Lovegrove, K., Stein, W. (Eds.): ‘Conc. sol. power technol.’ (in Woodhead Publishing Series in Energy, Woodhead Publishing, 2012), 21, pp. 16–67, .
-
22)
-
18. Hartl, R.F., Sethi, S.P., Vickson, R.G.: ‘A survey of the maximum principles for optimal control problems with state constraints’, SIAM Rev., 1995, 37, (2), pp. 181–218 (doi: 10.1137/1037043).
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