The Response of Large Firms to Different Schemes of Time-of’Use Pricing When the Production Function is Quadratic

Abstract

This paper constructs a model of firms’ behavior before and after the introduction of time-of-use (TOU) pricing of electricity, encompassing optimal behavior under both flat-rate and time-of-use pricing. The model aims to be consistent, constraining those parameters not affected by time-of-use pricing so that they are the same under both price schemes. However, it also accounts for the new conditions (structure) under which the firm must operate once time-of-use pricing is adopted. The results show that the optimal capital under the flat rale is identical to that under revenue-neutral TOU. Almost all the firm’s adjustments take place at the time that the time-of-use pricing is introduced, and only very few additional adjustments take place in the long run. These results contradict the widely-held belief that the firm cannot redistribute its electricity use over the day very quickly but can do so in the long run, once the capital input has adjusted to the new conditions.

Keywords

Electric utilites TOU pricing Electric load curves

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References

Acton

J.P.

McKay

(1984). “Industrial Response to Time-of-Use Rates: Quantitative Analysis of French, English and Welsh Data “ The Rand Corporation, EPRI EA-3506.

Acton

J.P.

Mitchell

B.M.

(1980). “Do Time of Use Rates Change Ixiad Curves?” The Rand Corporation, R-2588-DWP/EPRI.

Acton

J.P.

Park

R.E.

(1987). “Response to Time-of-Use Electricity Rates by l-arge Business Customers: Reconciling Conflicting Evidence.” The Rand Corporation, R-3477-NSF.

Aigner

D.J.

Hirschberg

J.G.

(1985). “Commercial/Industrial Customer Response to Time-of-Use Electricity Prices: Some Experimental Results.” The Rand Journal of Economics. 16 (Autumn): pp. 341-355.

Battelle-Columbus Division (1986). “Industrial End Use Planning Methodology (INDEPTH): Demonstration of Design.” EPRI EM-4988. 1 (December).

Caves

D.W.

Christensen

L.R.

(1980). “Global Properties of Flexible Functional Forms.” American Economic Review. 70: pp. 422-432.

Felhke

Tishler

(1986). “The Optimal Choice of Inputs Under Time-of-Use Pricing with Fixed Proportions Technology.” Faculty of Management, Tel Aviv University, Working Paper 890/86.

Fuss

McFadden

Mundlak

(1978). “A Survey of Functional Forms in the Economic Analysis of Production,” in Fuss

McFadden

(Eds.), Production Economics: A Dual Approach to Theory and Applications. I Rotterdam: North-Holland.

Hirschberg

J.G.

(1984). “The Impact of Time-of-Use Electricity Pricing: A Firm Level Econometric Approach.” Unpublished Ph.D. Thesis, Department of Economics, University of Southern California.

10.

Hirschberg

J.G.

Aigner

D.J.

(1983). “An Analysis of Commercial and Industrial Customer Response to Time-of-Use Rates.” The Energy Journal, Special Electricity Issue, pp. 103-126.

11.

Israel Electric Utility (1987). “TOU - Costs and Benefits.” Statistics Department (February).

12.

Lao

J.L.

(1978). “Applications of Profit Functions.” in Fuss

McFadden

(Eds.), Production Economics: A Dual Approach to Theory and Applications. 1 Rotterdam: North-Holland.

13.

McFadden

(1978). “Cost, Revenue and Profit Function,” in Fuss

McFadden

(Eds.), Production Economics: A Dual Ap-proach to Theory and Applications 1 Rotterdam: North-Holland.

14.

Mitchell

B.M.

Manning

W.G.

Acton

J.P.

(1978). Peak-Load Pricing: European Lessons for U.S. Energy Policy. Cambridge: Ballinger.

15.

Pacific Gas and Electric Company (1983). “A-20 Small Commercial Time-of-Use Experiment.” Rate Department (May).

16.

Pacific Gas and Electric Company (1984). “Small Commercial Time-of-Use Program.” Rate Department (May).

17.

Park

R.E.

Acton

J.P.

(1984). “Large Business Customer Response to Time-of-Day Electricity Rates.” Journal of Econometrics. 26: pp. 229-252.

18.

Scherer

M.F.

(1980). Industrial Market Structure and Economic Performance. Chicago: Rand McNally.

19.

Tishler

(1983). “The Industrial and Commercial Demand for Electricity under Time-of-Day Pricing.” Journal of Econometrics 23: pp. 369-384.

20.

Tishler

(1984). “A Model of the Demand for Electricity under Time-of-Use Pricing and Three Labor Shifts.” Resources and Energy 6: pp. 107-127.

21.

Tishler

(1985). “An Estimation of Input Demand Functions under Time-of-Use Pricing of Electricity with Incomplete Data and a Quadratic Production Function.” Faculty of Management, Tel Aviv University, Working Paper 872/85.

22.

Tishler

(1986a). “The Response of the Firm to Different Schemes of Time-of-Use Pricing When the Production Function is Quadratic.” Faculty of Management, Tel Aviv University, Working Paper 895/86.

23.

Tishler

(1986b). “Complementarity - Substitution Relationships in the Demand for Time Differentiated Inputs under Time-of-Use Pricing.” Faculty of Management, Tel Aviv University, Working Paper 900/86.