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CAIMS*SCMAI Doctoral Dissertation Award 2004 Winner and Abstract
C. Lindsay Anderson, Department of Applied Mathematics,
University of Western Ontario:
A Hybrid Model for Electricity Spot Prices
Prior to the deregulation trend, electricity prices were highly
regulated and were usually entirely predictable - generators and
wholesalers knew their costs of production and revenues, and consumers
knew their electricity cos ts. However, deregulation has caused
electricity to become the most volatile of the commodities. Not only is
the demand for electricity highly variable, but the inability to store
electricity in any appreciable quantity requires electricity to be
consumed as soon as it is generated. The supply of electricity cannot
shift as quickly as the demand. The result is an economic certainty -
when demand increases quickly, the price must respond, and as a result,
price spikes occur that are orders of magnitude higher than the base
electricity price. For example, in the large Pennsylvania-New
Jersey-Maryland (PJM) Market, a typical base price might be 30/MWh,
while spikes can exceed 1000/MWh. A robust and realistic model for the
spot price is required for any type of risk management or investment
planning in volatile markets.
The model developed here is a hybrid of the top down data driven
approach common in traditional financial applications and the bottom up
system driven approach common to regulated electricity markets. The
advantage of this innovative approach is that it incorporates the
primary system drivers, and clearly illustrates the effects of these
drivers on terminal prices. The model contains four primary modules: a
model for forced outages, a model of maintenance outages, an electrical
load model and finally a price module which combines the results of the
previous three modules.
Each of the modules is individually implemented and tested for
performance against observed data before being combined into the overall
model. The forced outage model is the first of its kind to simulate the
system on an aggregate basis using Weibull distributions. The overall
spot price model is calibrated to and tested with data from the PJM
electricity market. This model performs very well in simulating PJM
market prices and has a primary advantage over other models in its
ability to adapt to changing system conditions and/or new electricity
markets.
A robust and realistic model for electricity prices has many
applications. In this thesis, two primary applications are examined. The
first is the pricing of derivative contracts on electrical power and the
second is the comparison of various portfolio scenarios using a Cash
Flow at Risk (CFaR) approach. Both of these applications yield
interesting results and observations about the current state of the
deregulated electricity markets. In closing, a number of additional
improvements and exciting new applications are highlighted.
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