The cost of electricity interruptions in Portugal: Valuing lost load by
applying the production-function approach
Rui Castro
a, *
,S
ergio Faias
a, b, c
, Jorge Esteves
b
a
INESC-ID/IST, University of Lisbon, Lisbon, Portugal
b
ERSE, Portuguese Energy Regulatory Authority, Lisbon, Portugal
c
ISEL, Lisbon Engineering Superior Institute, Lisbon, Portugal
article info
Article history:
Received 27 June 2014
Received in revised form
11 April 2016
Accepted 11 April 2016
Available online xxx
Keywords:
Security of supply
Power interruptions
Value of lost load
Portugal
abstract
Despite the fact that the current level of energy supply security in Europe is quite satisfactory, new
challenges present a potential risk of jeopardising the current state of affairs. Among others, key chal-
lenges are related to the strengthening of the market framework (in the context of deregulation and
unbundling as imposed by EU directives) and the increasing penetration of renewable energy sources in
the generation mix (with inherently greater variability). Under these circumstances, assessing the value
of lost load (VoLL) is useful to support energy decision-making, including benefit-cost analysis and the
design of suitable regulatory frameworks. This paper develops VoLL estimation using a macroeconomic
technique, namely the production-function approach. The VoLL determines the foregone value added
due to electricity outage. The production-function method is applied to the Portuguese case and an
average VoLL of 5.12 V/kWh is found. The paper also presents the VoLL results obtained for various
economic sectors as well as households. Moreover, the temporal variation of the VoLL along typical
weekdays and weekend, in winter and in summer, and for the most relevant sectors (manufacturing,
retail services, and households) is demonstrated and discussed.
© 2016 Published by Elsevier Ltd.
1. Introduction
It is commonly accepted that electricity supply-quality regula-
tion has three components:
(i) continuity of supply, related to network and service reli-
ability and availability;
(ii) power quality, related to the characteristics of supply
voltage; and
(iii) commercial quality, related to timeliness in dealing with
customer requests.
One of the main goals of electricity supply regulation concept is
to balance customers' willingness to pay network tariffs and their
expectations for minimum levels of supply quality. Recently, this
topic became more relevant in Portugal. Rate-of-return economic
regulation, in which total utility costs were fully recovered by the
tariff has evolved to a price-cap regime, in which the utilities'
allowed revenues are capped in a level that does not necessarily
reflect actual costs. This change was implemented with the objec-
tive of improving the utilities' economic efficiency. However, it also
presents a risk that firms will postpone investments and, conse-
quently, decrease the quality of service provided to customers
(Ajodhia and Hakvoort, 2005; Ajodhia et al., 2006; Fumagalli et al.,
2007a). As such, more effective regulation of supply quality is
needed.
The continuity of supply features is measured in terms of in-
cidents in the electrical grid that result in interruptions to cus-
tomers. Accordingly to the regulatory code, continuity of supply
deals only with interruptions that last for more than three minutes,
the so-called long interruptions. Some commonly indexes are used
to assess the continuity of supply both at the Transmission System
Operator (TSO) and Distribution System Operator (DSO) levels. Two
of these indexes are:
System Average Interruption Frequency Index (SAIFI). This index
measures the average frequency of power-supply interruptions
in the system, expressed as the number of interruptions per
customer, per year.
* Corresponding author.
E-mail address: rcastro@tecnico.ulisboa.pt (R. Castro).
Contents lists available at ScienceDirect
Utilities Policy
journal homepage: www.elsevier.com/locate/jup
http://dx.doi.org/10.1016/j.jup.2016.04.003
0957-1787/© 2016 Published by Elsevier Ltd.
Utilities Policy xxx (2016) 1e10
Please cite this article in press as: Castro, R., et al., The cost of electricity interruptions in Portugal: Valuing lost load by applying the production-
function approach, Utilities Policy (2016), http://dx.doi.org/10.1016/j.jup.2016.04.003