Parametric vs. Non-Parametric Efficiency Assessment: Case of Power Plants in Turkey

Abstract

Throughout the study, the operational and long term investment performances of various power plants in Turkey are assessed and compared using Stochastic Frontier Analysis (SFA) and Data Envelopment Analysis (DEA). The data set is composed of 65 thermal, hydro and wind power plants with private and public ownership. Efficiency indices, reflecting operational and investment performance, are described and elaborated. Returns to scale, (constant and variable), assurance region, slack based measure, system comparison and bilateral type DEA models as well as stochastic frontier analysis employing the Cobb-Douglas and Translog production functions are used in the analysis. An analysis of returns to scale is carried out. The properties of the production frontiers are described for all efficiency indices. Public-private sector plants, renewable-thermal plants as well as natural gas-coal versus oil fired plants are compared according to their efficiency performance values. Efficiency scores obtained from DEA and SFA are compared and some relationships are identified. Interesting relationship are identified by elaborating the efficiency indices and various input/output factors. Even though natural gas fired power plants outperforms the coal fired ones in terms of investment efficiency, in general, reverse is true for operational performance under variable returns to scale.

Keywords

• Efficiency,Stochastic Frontier Analysis,Data Envelopment Analysis,Energy Systems Planning

PARAMETRİK VE PARAMETRİK OLMAYAN VERİMLİLİK DEĞERLENDİRMESİ VE KARŞILAŞTIRILMASI: TÜRKİYE ELEKTRİK SANTRALLERİ ÖRNEĞİ

Abstract

Çalışma boyunca Türkiye’deki çeşitli enerji santrallerinin operasyonel ve uzun vadeli yatırım performansları Stokastik Sınır Analiz (SSA) ve Veri Zarflama Analizi (VZA) kullanılarak karşılaştırıldı. Veri kümesi, özel ve kamu mülkiyetindeki 65 termal, hidroelektrik ve rüzgâr enerji santrallerinden oluşturuldu. Operasyonel ve yatırım performansını yansıtan verimlilik endeksleri ortaya konup incelendi. Analizde ölçek, sabit ve değişken, güvence bölgesi, gevşek tabanlı ölçüm, sistem karşılaştırma ve bilateral tip DEA modelleri ile Cobb-Douglas ve Translog üretim fonksiyonlarını kullanan stokastik sınır analizi kullanıldı. Ölçek getirisinin analizine yönelik VZA ve SSA modellerinin ortaya koyduğu tüm indisler kullanılarak değerlendirmeler yapıldı. Kamu-özel, termal-yenilenebilir karşılaştırmalarının yanı sıra doğal gaz-kömür-petrol santralleri verimlilik performans değerlerine göre karşılaştırıldı. VZA ve SSA metotlarından elde edilen sonuçlar karşılaştırıldı. İlginç verimlilik endeksi ve çeşitli giriş/çıkış faktörleri arasında ilişkiler ortaya kondu ve değerlendirildi. Doğal gazla çalışan elektrik santralleri, yatırım verimliliği açısından kömürle çalışan santrallerden daha iyi performans gösterse de, değişken getiri oranlarına göre operasyonel performansı için tersi geçerlidir.

Keywords

• Verimlilik,Stokastik Sınır Analizi,Veri Zarflama Analizi,Enerji Sistem Planlama

References

1. Aigner, D.J., Lovell, C.A.K. and Schmidt P. (1977) Formulation and Estimation of Stochastic Frontier Production Function Models. Journal of Econometrics, 6, 21-37. doi: 10.1016/0304-4076(77)90052-5
2. Bakos, G.C, Tsagas N.F. (2003) Technoeconomic Assessment of a Hybrid Solar/Wind Installation for Energy Saving, Energy and Buildings, 35, 139-145. doi: 10.1016/S0378-7788(02)00023-3
3. Banker, R.D., Charnes A. and Cooper W.W. (1984) Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis, Management Science, 30(9), 1078-1092. doi: 10.1287/mnsc.30.9.1078
4. Banker, R.D., Thrall R.M. (1992) Estimating Most Productive Scale Size Using Data Envelopment Analysis, European Journal of Operational Research, 62, 74-84. doi: 10.1016/0377-2217(84)90006-7
5. Bauer, P.W. (1990) Recent Developments in the Econometric Estimation of Frontiers, Journal of Econometrics, 46, 39-56. doi: 10.1016/0304-4076(90)90046-V
6. Coelli, T.J. (1992) A Computer Program for Frontier Production Function Estimation: Frontier, Version 2.0., Economics Letters, 39, 29-32. doi: 10.1016/0165-1765(92)90096-H
7. Coelli, T., Rao, D. S. P., Battese, G. E. (1998) An Introduction to Efficiency and Productivity Analysis, Kluwer Academic Publishers, London.
8. Charnes, A., Cooper W.W. and Rhodes E. (1978) Measuring the Efficiency of Decision Making Units, European Journal of Operational Research, 2, 429-444. doi: 10.1016/0377-2217(78)90138-8

9. Dyson, R.G., Thanassoulis E. and Foster M.J. (1987) Relative Efficiency Assessments Using Data Envelopment Analysis: An Application to Data on Rates Departments, Journal of Operational Research Society, 38(5), 397-411. doi: 10.2307/2582729
10. Erdem, H. H., Akkaya, V. A., Cetin, B., Dagdas, A., Sevilgen, S. H., Sahin, B., Teke, I., Gungor, C. and Atas, S., Comparative energetic and exergetic performance analyses for coal-fired thermal power plants in Turkey, International Journal of Thermal Sciences, Volume 48, Issue 11, 2009, Pages 2179-2186. doi: 10.1016/j.ijthermalsci.2009.03.007
11. ExternE (1995) Externalities of Energy- Volumes 2, 3, and 6, The European Commission, Luxembourg, (http://www.externe.jrc.es, 2003).
12. Forsund, F.R., Lovell, C.A.K. and Schmidt, P. (1980) A Survey of Frontier Production Functions and of their Relationship to Efficiency Measurement, Journal of Econometrics, 13; 5-25. doi: 10.1016/0304-4076(80)90040-8
13. Golany, B., Roll Y. and Rybak D. (1994) Measuring Efficiencies of Power Plants in Israel by Data Envelopment Analysis, IEEE Transactiıns on Engineering Management, 41(3); 291-301. doi: 10.1109/17.310144
14. Goto M., Tsutsui M. (2008) Technical efficiency and impacts of deregulation: An analysis of three functions in U.S. electric power utilities during the period from 1992 through 2000, Energy Economics, 30(1), 15-38. doi: 10.1016/j.eneco.2006.05.020
15. Greene, W.H. (1993) The Econometric Approach to Efficiency Analaysis. In Fried, H.O., Lovell, C.A.K. and Schmidt, S.S.(Eds), The Measurement of Productive Efficiency. Oxford University Press: New York, 68-119.
16. IEA-International Energy Agency (2001) Energy Policies of IEA Countries Turkey 2001 Review, Paris.
17. Korhonen, P.J. and Luptacik M. (2004) Eco-efficiency Analysis of Power Plants: An Extension of Data Envelopment Analysis, European Journal of Operational Research, 154(2), 437-446. doi: 10.1016/S0377-2217(03)00180-2
18. Kwak, H.Y., Kim D.J., and Jeon J.S. (2003) Exergetic and Thermoeconomic Analysis of Power Plants, Energy, 28, 343-360. doi: 10.1016/S0360-5442(02)00138-X
19. Liu Y., Ye L., Benoit I., Liu X., Cheng Y., Morel G. and Fu C. (2003) Economic Performance Evaluation Method for Hydroelectric Generating Units, Energy Conversion and Management, 44(6), 797-808. doi: 10.1016/S0196-8904(02)00098-5
20. Olatubi W. O., Dismuke D. E. (2000) A data envelopment analysis of the levels and determinants of coal-fired electric power generation performance, Utilities Policy, 9(2); 47-59. doi: 10.1016/S0957-1787(01)00004-2
21. Mecit, E. D., Alp, İ., (2013) A new proposed model of restricted data envelopment analysis by correlation coefficients, Applied Mathematical Modelling, 37(5), 3407-3425. doi: 10.1016/j.apm.2012.07.010
22. Meeusen, W. and van den Broeck, J. (1977) Efficiency Estimation from Cobb-Douglas Production Functions With Composed Error, International Economic Review, 18; 435-444. doi: 10.2307/2525757
23. Park, S.U. and Lesourd J.B. (2000) The Efficiency of Conventional Fuel Power Plants in South Korea: A Comparison of Parametric and Non-parametric Approaches, International Journal of Production Economics, 63, 59-67. doi: 10.1016/S0925-5273(98)00252-7
24. Park, B., L. Simar and V. Zelenyuk. (2015) Categorical data in local maximum likelihood: theory and applications to productivity analysis, Journal of Productivity Analysis, 43 (2), 199–214. doi: 10.1007/s1112
25. Ray, S.C. (1998) Measuring Scale Efficiency form a Translog Production Function, Journal of Productivity Analysis, 11; 183-194. doi: 10.1023/A:100779220
26. Sàez, R.M., Linares P. and Leal J. (1998) Assessment of the Externalities of Biomass Energy and Comparison of Costs with Coal, Biomass and Bioenergy, 14, 469-478. doi: 10.1016/S0961-9534(98)00016-6
27. Sarica, K., Or, I. (2008) Efficiency Assessment of Turkish Power Plants using Data Envelopment Analysis, Energy, 32 (8), 1484-1499. Doi: 10.1016/j.energy.2006.10.016
28. Schmidt, P. (1986) Frontier Production Functions, Econometric Reviews, 4, 289-328. doi: 10.1080/07474938608800089
29. Sözen, A., Alp, İ., and Özdemir, A. (2010) Assessment of operational and environmental performance of the thermal power plants in Turkey by using data envelopment analysis, Energy Policy, 38, (10), 6194-6203. doi: 10.1016/j.enpol.2010.06.005
30. Thompson, R.G., Singleton F.D., Thrall R.M. and Smith B.A. (1986) Comparative Site Evaluations for Locating a High-Energy Physics Lab. in Texas, Interfaces, 16,35-49. doi: 10.1287/inte.16.6.35
31. Tone, K. (2001) A Slack Based Measure of Efficiency in Data Envelopment Analysis, European Journal of Operational Research, 130(3), 498-509. doi: 10.1016/S0377-2217(99)00407-5
32. Tone, K. (1999) On Returns to Scale under Weight Restrictions in Data Envelopment Analysis, Research Report Series I-99-003. U.S. Nat. Grad. Inst. for Policy Studies.
33. Tone, K. (1993) Data Envelopment Analysis. JUSE Press Ltd. Tokyo.
34. Unsal, M. G., Örkcü, H. H. (2016) A note for weight restriction in the ARIII model based on correlation coefficients, Applied Mathematical Modelling, 40(23), 10820-10827. doi: 10.1016/j.apm.2016.06.052