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Published in: Energy Systems 4/2018

16-10-2017 | Original Paper

Statistical reliability of wind power scenarios and stochastic unit commitment cost

Authors: Didem Sari, Sarah M. Ryan

Published in: Energy Systems | Issue 4/2018

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Abstract

Probabilistic wind power scenarios constitute a crucial input for stochastic day-ahead unit commitment in power systems with deep penetration of wind generation. To minimize the cost of implemented solutions, the scenario time series of wind power amounts available should accurately represent the stochastic process for available wind power as it is estimated on the day ahead. The high computational demands of stochastic programming motivate a search for ways to evaluate scenarios without extensively simulating the stochastic unit commitment procedure. The statistical reliability of wind power scenario sets can be assessed by approaches extended from ensemble forecast verification. We examine the relationship between the statistical reliability metrics and the results of stochastic unit commitment when implemented solutions encounter the observed available wind power. Lack of uniformity in a mass transportation distance rank histogram can eliminate scenario sets that might lead to either excessive no-load costs of committed units or high penalty costs for violating energy balance when the committed units are dispatched. Event-based metrics can help to predict results of implementing solutions found with the remaining scenario sets.

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Literature
1.
go back to reference Zheng, Q.P.P., Wang, J.H., Liu, A.L.: Stochastic optimization for unit commitment—a review. IEEE Trans. Power Syst. 30(4), 1913–1924 (2015)CrossRef Zheng, Q.P.P., Wang, J.H., Liu, A.L.: Stochastic optimization for unit commitment—a review. IEEE Trans. Power Syst. 30(4), 1913–1924 (2015)CrossRef
2.
go back to reference Gneiting, T., Balabdaoui, F., Raftery, A.E.: Probabilistic forecasts, calibration and sharpness. J. R. Stat. Soc. B 69, 243–268 (2007)MathSciNetCrossRefMATH Gneiting, T., Balabdaoui, F., Raftery, A.E.: Probabilistic forecasts, calibration and sharpness. J. R. Stat. Soc. B 69, 243–268 (2007)MathSciNetCrossRefMATH
4.
go back to reference Sari, D., Lee, Y., Ryan, S., Woodruff, D.: Statistical metrics for assessing the quality of wind power scenarios for stochastic unit commitment. Wind Energy 19(5), 873–893 (2016)CrossRef Sari, D., Lee, Y., Ryan, S., Woodruff, D.: Statistical metrics for assessing the quality of wind power scenarios for stochastic unit commitment. Wind Energy 19(5), 873–893 (2016)CrossRef
5.
go back to reference Ortega-Vazquez, M.A., Kirschen, D.S.: Assessing the impact of wind power generation on operating costs. IEEE Trans. Smart Grid 1(3), 295–301 (2010)CrossRef Ortega-Vazquez, M.A., Kirschen, D.S.: Assessing the impact of wind power generation on operating costs. IEEE Trans. Smart Grid 1(3), 295–301 (2010)CrossRef
6.
go back to reference Ummels, B.C., Gibescu, M., Pelgrum, E., Kling, W.L., Brand, A.J.: Impacts of wind power on thermal generation unit commitment and dispatch. IEEE Trans. Energy Convers. 22(1), 44–51 (2007)CrossRef Ummels, B.C., Gibescu, M., Pelgrum, E., Kling, W.L., Brand, A.J.: Impacts of wind power on thermal generation unit commitment and dispatch. IEEE Trans. Energy Convers. 22(1), 44–51 (2007)CrossRef
7.
go back to reference Tuohy, A., Meibom, P., Denny, E., O’Malley, M.: Unit commitment for systems with significant wind penetration. IEEE Trans. Power Syst. 24(2), 592–601 (2009)CrossRef Tuohy, A., Meibom, P., Denny, E., O’Malley, M.: Unit commitment for systems with significant wind penetration. IEEE Trans. Power Syst. 24(2), 592–601 (2009)CrossRef
8.
go back to reference Yang, Y.C., Wang, J.H., Guan, X.H., Zhai, Q.Z.: Subhourly unit commitment with feasible energy delivery constraints. Appl. Energ. 96, 245–252 (2012)CrossRef Yang, Y.C., Wang, J.H., Guan, X.H., Zhai, Q.Z.: Subhourly unit commitment with feasible energy delivery constraints. Appl. Energ. 96, 245–252 (2012)CrossRef
9.
go back to reference Osorio, G.J., Lujano-Rojas, J.M., Matias, J.C.O., Catalao, J.P.S.: A probabilistic approach to solve the economic dispatch problem with intermittent renewable energy sources. Energy 82, 949–959 (2015)CrossRef Osorio, G.J., Lujano-Rojas, J.M., Matias, J.C.O., Catalao, J.P.S.: A probabilistic approach to solve the economic dispatch problem with intermittent renewable energy sources. Energy 82, 949–959 (2015)CrossRef
10.
go back to reference Ortega-Vazquez, M.A., Kirschen, D.S.: Optimizing the spinning reserve requirements using a cost/benefit analysis. IEEE Trans. Power Syst. 22(1), 24–33 (2007)CrossRef Ortega-Vazquez, M.A., Kirschen, D.S.: Optimizing the spinning reserve requirements using a cost/benefit analysis. IEEE Trans. Power Syst. 22(1), 24–33 (2007)CrossRef
11.
go back to reference Ela, E., O’Malley, M.: Studying the variability and uncertainty impacts of variable generation at multiple timescales. IEEE Trans. Power Syst. 27(3), 1324–1333 (2012)CrossRef Ela, E., O’Malley, M.: Studying the variability and uncertainty impacts of variable generation at multiple timescales. IEEE Trans. Power Syst. 27(3), 1324–1333 (2012)CrossRef
12.
go back to reference Zhou, Z., Botterud, A., Wang, J., Bessa, R.J., Keko, H., Sumaili, J., Miranda, V.: Application of probabilistic wind power forecasting in electricity markets. Wind Energy 16(3), 321–338 (2013)CrossRef Zhou, Z., Botterud, A., Wang, J., Bessa, R.J., Keko, H., Sumaili, J., Miranda, V.: Application of probabilistic wind power forecasting in electricity markets. Wind Energy 16(3), 321–338 (2013)CrossRef
13.
go back to reference Takriti, S., Birge, J.R., Long, E.: A stochastic model for the unit commitment problem. IEEE Trans. Power Syst. 11(3), 1497–1506 (1996)CrossRef Takriti, S., Birge, J.R., Long, E.: A stochastic model for the unit commitment problem. IEEE Trans. Power Syst. 11(3), 1497–1506 (1996)CrossRef
14.
go back to reference Bakirtzis, E.A., Biskas, P.N., Labridis, D.P., Bakirtzis, A.G.: Multiple time resolution unit commitment for short-term operations scheduling under high renewable penetration. IEEE Trans. Power Syst. 29(1), 149–159 (2014)CrossRef Bakirtzis, E.A., Biskas, P.N., Labridis, D.P., Bakirtzis, A.G.: Multiple time resolution unit commitment for short-term operations scheduling under high renewable penetration. IEEE Trans. Power Syst. 29(1), 149–159 (2014)CrossRef
15.
go back to reference Papavasiliou, A., Oren, S.S.: Multiarea stochastic unit commitment for high wind penetration in a transmission constrained network. Oper. Res. 61(3), 578–592 (2013)MathSciNetCrossRefMATH Papavasiliou, A., Oren, S.S.: Multiarea stochastic unit commitment for high wind penetration in a transmission constrained network. Oper. Res. 61(3), 578–592 (2013)MathSciNetCrossRefMATH
16.
go back to reference Wu, H.Y., Shahidehpour, M.: Stochastic SCUC solution with variable wind energy using constrained ordinal optimization. IEEE Trans. Sustain. Energy 5(2), 379–388 (2014)CrossRef Wu, H.Y., Shahidehpour, M.: Stochastic SCUC solution with variable wind energy using constrained ordinal optimization. IEEE Trans. Sustain. Energy 5(2), 379–388 (2014)CrossRef
18.
go back to reference Bouffard, F., Galiana, F.D.: Stochastic security for operations planning with significant wind power generation. IEEE Trans. Power Syst. 23(2), 306–316 (2008)CrossRef Bouffard, F., Galiana, F.D.: Stochastic security for operations planning with significant wind power generation. IEEE Trans. Power Syst. 23(2), 306–316 (2008)CrossRef
19.
go back to reference Ruiz, P.A., Philbrick, C.R., Zak, E., Cheung, K.W., Sauer, P.W.: Uncertainty management in the unit commitment problem. IEEE Trans. Power Syst. 24(2), 642–651 (2009)CrossRef Ruiz, P.A., Philbrick, C.R., Zak, E., Cheung, K.W., Sauer, P.W.: Uncertainty management in the unit commitment problem. IEEE Trans. Power Syst. 24(2), 642–651 (2009)CrossRef
20.
go back to reference Wang, J.D., Wang, J.H., Liu, C., Ruiz, J.P.: Stochastic unit commitment with sub-hourly dispatch constraints. Appl. Energy 105, 418–422 (2013)CrossRef Wang, J.D., Wang, J.H., Liu, C., Ruiz, J.P.: Stochastic unit commitment with sub-hourly dispatch constraints. Appl. Energy 105, 418–422 (2013)CrossRef
21.
go back to reference Quan, H., Srinivasan, D., Khambadkone, A.M., Khosravi, A.: A computational framework for uncertainty integration in stochastic unit commitment with intermittent renewable energy sources. Appl. Energy 152, 71–82 (2015)CrossRef Quan, H., Srinivasan, D., Khambadkone, A.M., Khosravi, A.: A computational framework for uncertainty integration in stochastic unit commitment with intermittent renewable energy sources. Appl. Energy 152, 71–82 (2015)CrossRef
22.
go back to reference Ela, E., Milligan, M., O’Malley, M.: A flexible power system operations simulation model for assessing wind integration. In: IEEE Power and Energy Society General Meeting, pp. 1–8. San Diego, CA (2011) Ela, E., Milligan, M., O’Malley, M.: A flexible power system operations simulation model for assessing wind integration. In: IEEE Power and Energy Society General Meeting, pp. 1–8. San Diego, CA (2011)
23.
go back to reference Papavasiliou, A., Oren, S.S., O’Neill, R.P.: Reserve requirements for wind power integration: a scenario-based stochastic programming framework. IEEE Trans. Power Syst. 26(4), 2197–2206 (2011)CrossRef Papavasiliou, A., Oren, S.S., O’Neill, R.P.: Reserve requirements for wind power integration: a scenario-based stochastic programming framework. IEEE Trans. Power Syst. 26(4), 2197–2206 (2011)CrossRef
24.
go back to reference Wang, J., Botterud, A., Bessa, R., Keko, H., Carvalho, L., Issicaba, D., Sumaili, J., Miranda, V.: Wind power forecasting uncertainty and unit commitment. Appl. Energy 88(11), 4014–4023 (2011)CrossRef Wang, J., Botterud, A., Bessa, R., Keko, H., Carvalho, L., Issicaba, D., Sumaili, J., Miranda, V.: Wind power forecasting uncertainty and unit commitment. Appl. Energy 88(11), 4014–4023 (2011)CrossRef
25.
go back to reference Morales, J.M., Minguez, R., Conejo, A.J.: A methodology to generate statistically dependent wind speed scenarios. Appl. Energy 87(3), 843–855 (2010)CrossRef Morales, J.M., Minguez, R., Conejo, A.J.: A methodology to generate statistically dependent wind speed scenarios. Appl. Energy 87(3), 843–855 (2010)CrossRef
26.
go back to reference Pinson, P., Madsen, H., Nielsen, H.A., Papaefthymiou, G., Klockl, B.: From probabilistic forecasts to statistical scenarios of short-term wind power production. Wind Energy 12(1), 51–62 (2009)CrossRef Pinson, P., Madsen, H., Nielsen, H.A., Papaefthymiou, G., Klockl, B.: From probabilistic forecasts to statistical scenarios of short-term wind power production. Wind Energy 12(1), 51–62 (2009)CrossRef
27.
go back to reference Pinson, P., Girard, R.: Evaluating the quality of scenarios of short-term wind power generation. Appl. Energy 96, 12–20 (2012)CrossRef Pinson, P., Girard, R.: Evaluating the quality of scenarios of short-term wind power generation. Appl. Energy 96, 12–20 (2012)CrossRef
28.
go back to reference Gneiting, T., Stanberry, L.I., Grimit, E.P., Held, L., Johnson, N.A.: Assessing probabilistic forecasts of multivariate quantities, with an application to ensemble predictions of surface winds. Test 17(2), 211–235 (2008)MathSciNetCrossRefMATH Gneiting, T., Stanberry, L.I., Grimit, E.P., Held, L., Johnson, N.A.: Assessing probabilistic forecasts of multivariate quantities, with an application to ensemble predictions of surface winds. Test 17(2), 211–235 (2008)MathSciNetCrossRefMATH
29.
go back to reference Wilks, D.S.: The minimum spanning tree histogram as a verification tool for multidimensional ensemble forecasts. Mon. Weather Rev. 132(6), 1329–1340 (2004)CrossRef Wilks, D.S.: The minimum spanning tree histogram as a verification tool for multidimensional ensemble forecasts. Mon. Weather Rev. 132(6), 1329–1340 (2004)CrossRef
30.
go back to reference Gombos, D., Hansen, J.A., Du, J., McQueen, J.: Theory and applications of the minimum spanning tree rank histogram. Mon. Weather Rev. 135(4), 1490–1505 (2007)CrossRef Gombos, D., Hansen, J.A., Du, J., McQueen, J.: Theory and applications of the minimum spanning tree rank histogram. Mon. Weather Rev. 135(4), 1490–1505 (2007)CrossRef
32.
go back to reference Bruninx, K., Dvorkin, Y., Delarue, E., Pandzic, H., D’haeseleer, W., Kirschen, D.S.: Coupling pumped hydro energy storage with unit commitment. IEEE Trans. Sustain. Energy 7(2), 786–796 (2016)CrossRef Bruninx, K., Dvorkin, Y., Delarue, E., Pandzic, H., D’haeseleer, W., Kirschen, D.S.: Coupling pumped hydro energy storage with unit commitment. IEEE Trans. Sustain. Energy 7(2), 786–796 (2016)CrossRef
33.
go back to reference Siface, D., Vespucci, M.T., Gelmini, A.: Solution of the mixed integer large scale unit commitment problem by means of a continuous Stochastic linear programming model. Energy Syst. 5(2), 269–284 (2014). doi:10.1007/s12667-013-0107-z CrossRef Siface, D., Vespucci, M.T., Gelmini, A.: Solution of the mixed integer large scale unit commitment problem by means of a continuous Stochastic linear programming model. Energy Syst. 5(2), 269–284 (2014). doi:10.​1007/​s12667-013-0107-z CrossRef
35.
go back to reference Shukla, A., Singh, S.N.: Clustering based unit commitment with wind power uncertainty. Energy Convers. Manag. 111, 89–102 (2016)CrossRef Shukla, A., Singh, S.N.: Clustering based unit commitment with wind power uncertainty. Energy Convers. Manag. 111, 89–102 (2016)CrossRef
37.
go back to reference Ji, B., Yuan, X.H., Chen, Z.H., Tian, H.: Improved gravitational search algorithm for unit commitment considering uncertainty of wind power. Energy 67, 52–62 (2014)CrossRef Ji, B., Yuan, X.H., Chen, Z.H., Tian, H.: Improved gravitational search algorithm for unit commitment considering uncertainty of wind power. Energy 67, 52–62 (2014)CrossRef
38.
go back to reference Nasri, A., Kazempour, S.J., Conejo, A.J., Ghandhari, M.: Network-constrained AC unit commitment under uncertainty: a Benders’ decomposition approach. IEEE Trans. Power Syst. 31(1), 412–422 (2016)CrossRef Nasri, A., Kazempour, S.J., Conejo, A.J., Ghandhari, M.: Network-constrained AC unit commitment under uncertainty: a Benders’ decomposition approach. IEEE Trans. Power Syst. 31(1), 412–422 (2016)CrossRef
39.
go back to reference Cheung, K., Gade, D., Silva-Monroy, C., Ryan, S.M., Watson, J.P., Wets, R.J.B., Woodruff, D.L.: Toward scalable stochastic unit commitment Part 2: solver configuration and performance assessment. Energy Syst. 6(3), 417–438 (2015). doi:10.1007/s12667-015-0148-6 CrossRef Cheung, K., Gade, D., Silva-Monroy, C., Ryan, S.M., Watson, J.P., Wets, R.J.B., Woodruff, D.L.: Toward scalable stochastic unit commitment Part 2: solver configuration and performance assessment. Energy Syst. 6(3), 417–438 (2015). doi:10.​1007/​s12667-015-0148-6 CrossRef
42.
go back to reference Rachev, S.T.: Probability Metrics and the Stability of Stochastic Models. Wiley, New York (1991)MATH Rachev, S.T.: Probability Metrics and the Stability of Stochastic Models. Wiley, New York (1991)MATH
43.
go back to reference Rachev, S.T., Rüschendorf, L.: Mass Transportation Problems. Probability and its Applications. Springer, Berlin (1998)MATH Rachev, S.T., Rüschendorf, L.: Mass Transportation Problems. Probability and its Applications. Springer, Berlin (1998)MATH
44.
go back to reference Feng, Y.H., Rios, I., Ryan, S.M., Spurkel, K., Watson, J.P., Wets, R.J.B., Woodruff, D.L.: Toward scalable stochastic unit commitment. Part 1: load scenario generation. Energy Syst. 6(3), 309–329 (2015). doi:10.1007/s12667-015-0146-8 CrossRef Feng, Y.H., Rios, I., Ryan, S.M., Spurkel, K., Watson, J.P., Wets, R.J.B., Woodruff, D.L.: Toward scalable stochastic unit commitment. Part 1: load scenario generation. Energy Syst. 6(3), 309–329 (2015). doi:10.​1007/​s12667-015-0146-8 CrossRef
Metadata
Title
Statistical reliability of wind power scenarios and stochastic unit commitment cost
Authors
Didem Sari
Sarah M. Ryan
Publication date
16-10-2017
Publisher
Springer Berlin Heidelberg
Published in
Energy Systems / Issue 4/2018
Print ISSN: 1868-3967
Electronic ISSN: 1868-3975
DOI
https://doi.org/10.1007/s12667-017-0255-7

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