Measuring Energy Efficiency: An Application of Data Envelopment Analysis to Power Sector in Kerala

Pillai N., Vijayamohanan (2019): Measuring Energy Efficiency: An Application of Data Envelopment Analysis to Power Sector in Kerala. Published in:

Abstract

Traditionally, there are two basically reciprocal energy efficiency Indicators: one, in terms of energy intensity, that is, energy use per unit of activity output, and the other, in terms of energy productivity, that is, activity output per unit of energy use. The enquiry that has proceeded from the problems associated with this method of a single energy input factor in terms of productivity has led to multi-factor productivity analysis. We have here two approaches: parametric and non-parametric. Parametric approach famously includes two methods: the erstwhile popular total factor energy productivity analysis and the currently fanciful stochastic frontier production function analysis; The non-parametric approach is popularly represented by data envelopment analysis. The present paper is an attempt to measure efficiency in electrical energy consumption in Kerala, India. We apply the non-parametric mathematical programming method of data envelopment analysis of the multi-factor productivity approach, and estimate the efficiency measures under the two scale assumptions of constant returns to scale (CRS) and variable returns to scale (VRS); the latter includes both increasing (IRS) and decreasing returns to scale (DRS). Scale efficiency measures are also given to find out whether a firm is operating at its optimal size or not, implying degrees of capacity utilization.

• Item Type: MPRA Paper
• Language: English
• Keywords: Energy efficiency, Kerala, Power sector, Data envelopment, Technical efficiency.
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q4 - Energy

References

Afriat, S.N. (1972), "Efficiency Estimation of Production Functions", International Economic Review, 13, 568-598.

Ang, B.W., (2004). ‘Decomposition analysis for policymaking in energy: which is the preferred method?’, Energy Policy, 32, pp. 1131–1139.

Ang B.W. and K.H. Choi (1997). “Decomposition of aggregate energy and gas emission intensities for industry: a refined Divisia index method”. The Energy Journal. 18(3): 59-73.

Ang B.W., F.Q. Zhang and K.H. Choi (1998).”Factorizing changes in energy and environmental studies through decomposition”. Energy 23(6): 489-495.

Ang B.W. and F.Q. Zhang (2000). “A survey of index decomposition analysis in energyand environmental studies”. Energy 25(12):1149-1176.

Banker, R.D., A. Chames and W.W. Cooper (1984), "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis", Management Science, 30, 1078-1092.

Boles, J.N. (1966), "Efficiency Squared - Efficient Computation of Efficiency Proceedings of the 39th Annual Meeting of the Western Farm Economic Association, pp 137-142.

Bossanyi, E. (1979). UK primary energy consumption and the changing structure of final demand. Energy Policy 7(6): 489-495.

Boyd, Gale; McDonald, John; Ross, M. and Hansont, D. A. (1987) “Separating the Changing Composition of U.S. Manufacturing Production from Energy Efficiency Improvements: A Divisia Index Approach”. The Energy Journal, Volume 8, issue Number 2, 77-96.

Charnes, A., W.W. Cooper and E. Rhodes (1978), "Measuring the Efficiency of Decision Making Units", European Journal of Operational Research, 2, 429-444.

Coelli, T.J., Rao D.S.P., O’Donnell C.J. and Battese G.E. (2005). An introduction to efficiency and productivity analysis. Springer.

Cooper, W.W., Seiford L.M. and Tone K. (2006). Introduction to Data Envelopment Analysis and its uses. Springer.

Farrell, M.J. (1957), "The Measurement of Productive Efficiency", Journal of the Royal Statistical Society, Series A, CXX, Part 3, 253-290.

Henderson, James M. and Quandt, Richard E. (1971) Microeconomic Theory: A Mathematical Approach. 2nd edition. McGraw-Hill Kogakusha, London.

Myers, J. and Nakamura L. (1978). Saving energy in manufacturing. Cambridge, MA: Ballinger, 1978.

Patterson, Murray G (1996) “What is energy efficiency? Concepts, indicators and methodological issues”. Energy Policy, vol. 24, issue 5, 377-390.

Yong-bae Ji and Choonjoo Lee, (2010). “Data Envelopment Analysis in Stata”. The Stata Journal Vol. 10: 2, pp. 267-280.