Density forecasting for long-term peak electricity demand

Rob J Hyndman and Shu Fan
IEEE Transactions on Power Systems, 2009, to appear.

Abstract: Long-term electricity demand forecasting plays an important role in planning for future generation facilities and transmission augmentation. In a long term context, planners must adopt a probabilistic view of potential peak demand levels, therefore density forecasts (providing estimates of the full probability distributions of the possible future values of the demand) are more helpful than point forecasts, and are necessary for utilities to evaluate and hedge the financial risk accrued by demand variability and forecasting uncertainty. This paper proposes a new methodology to forecast the density of long-term peak electricity demand.

Peak electricity demand in a given season is subject to a range of uncertainties, including underlying population growth, changing technology, economic conditions, prevailing weather conditions (and the timing of those conditions), as well as the general randomness inherent in individual usage. It is also subject to some known calendar effects due to the time of day, day of week, time of year, and public holidays.

We describe a comprehensive forecasting solution in this paper. First, we use semi-parametric additive models to estimate the relationships between demand and the driver variables, including temperatures, calendar effects and some demographic and economic variables. Then we forecast the demand distributions using a mixture of temperature simulation, assumed future economic scenarios, and residual bootstrapping. The temperature simulation is implemented through a new seasonal bootstrapping method with variable blocks.

The proposed methodology has been used to forecast the probability distribution of annual and weekly peak electricity demand for South Australia since 2007. We evaluate the performance of the methodology by comparing the forecast results with the actual demand of the summer 2007/08.

Keywords: Long-term demand forecasting, density forecast, time series, simulation.

Online article

Contributions to the International Encyclopedia of Statistical Science

Rob J Hyndman
International Encyclopedia of Statistical Science, ed. Miodrag Lovric, Springer (2010)

I have written three articles for this new encyclopedia:

Nonparametric time series forecasting with dynamic updating

Han Lin Shang and Rob J Hyndman
Abstract

We present a nonparametric method to forecast a seasonal univariate time series, and propose four dynamic updating methods to improve point forecast accuracy. Our methods consider a seasonal univariate time series as a functional time series. We propose first to reduce the dimensionality by applying functional principal component analysis to the historical observations, and then to use univariate time series forecasting and functional principal component regression techniques. When data in the most recent year are partially observed, we improve point forecast accuracy using dynamic updating methods. We also introduce a nonparametric approach to construct prediction intervals of updated forecasts, and compare the empirical coverage probability with an existing parametric method. Our approaches are data-driven and computationally fast, and hence they are feasible to be applied in real time high frequency dynamic updating. The methods are demonstrated using monthly sea surface temperatures from 1950 to 2008.

Keywords: Functional time series, Functional principal component analysis, Ordinary least squares, Penalized least squares, Ridge regression, Sea surface temperatures, Seasonal time series.

Online paper

ftsa package for R

The ftsa package provides tools for modelling and forecasting functional time series.

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fds package for R

The fds package provides functional data sets useful for testing new methods.

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expsmooth package for R

The expsmooth package for R provides data sets from the book “Forecasting with exponential smoothing: the state space approach” by Hyndman, Koehler, Ord and Snyder (Springer, 2008).

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Mcomp package for R

The Mcomp package for R provides the 1001 time series from the M-competition (Makridakis et al. 1982) and the 3003 time series from the IJF-M3 competition (Makridakis and Hibon, 2000). Read the rest of this entry »

fma package for R

The fma package for R provides all data sets from “Forecasting: methods and applications” by Makridakis, Wheelwright & Hyndman (Wiley, 3rd ed., 1998). Read the rest of this entry »

forecast package for R

The forecast package for R provides methods and tools for displaying and analysing univariate time series forecasts including exponential smoothing via state space models and automatic ARIMA modelling. It also includes a handful of data sets from the Time Series Data Library. The package is described in Hyndman and Khandakar (2008). Read the rest of this entry »

rainbow package for R

The rainbow package provides tools for plotting functional data including the rainbow plot, functional bagplot, functional HDR boxplot. The methods are described in Rainbow plots, bagplots and boxplots for functional data

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