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Hedging Strategy and Electricity Contract Engineering - IFOR

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118 Power portfolio optimization<br />

Production assets A power portfolio consists not only of financial <strong>and</strong> physical<br />

contracts, hereby called contract portfolio, but also of production assets,<br />

hereby called production portfolio. Numerous of the power plants<br />

exhibit operational flexibility, as discussed in Chapter 4, where we concluded<br />

that each plant type corresponds to a specific set of contracts. By<br />

viewing production facilities as contracts, it is natural to state that an optimal<br />

power portfolio implies not only an optimal contract portfolio, but<br />

also an optimal production portfolio. The production portfolio can be optimized<br />

on two levels. The first level is to find the optimal use of the<br />

operation flexibility, i. e. to find the optimal dispatch strategy for the existing<br />

plants. The second level is to find the the best portfolio of power<br />

plants, i. e. to allow for acquisitions <strong>and</strong> sell-offs of these assets.<br />

Complex contracts The contracts in the power market can be very complex<br />

in comparison with traditional financial contracts. A major difference is<br />

that many OTC power contracts have an uncertain underlying quantity<br />

of electricity as described in Chapter 2.7. In addition to the price risk<br />

that players in the traditional financial markets are facing, the electricity<br />

players often also face a volume risk stemming from swing options or<br />

from outages of plants. Such volume uncertainty cannot be h<strong>and</strong>led by<br />

the simple Markowitz approach (3.1), but naturally needs to be dealt with<br />

by a power portfolio optimization.<br />

Simultaneous optimization Holthausen [Hol79] stated a separation theorem<br />

that production scheduling can be done independently from hedging, under<br />

the assumption of no production uncertainty <strong>and</strong> no basis risk. In<br />

the electricity market there is generally a presence of basis risk, due to<br />

the finite number of nodes in the grid at which derivatives are traded,<br />

<strong>and</strong> definitely a production uncertainty, why the separation theorem does<br />

not hold. Anderson & Danthine [AD80] showed that production must<br />

be determined jointly with hedging in the case of basis risk. Viaene &<br />

Zilcha [VZ98] have showed that even in the absence of basis risk the separation<br />

theorem breaks down in the case of correlation between input costs<br />

<strong>and</strong> output price. This correlation exists in the electricity market through,<br />

for example, the correlation between fuel prices or water inflow <strong>and</strong> electricity<br />

prices. Thus we can conclude that a simultaneous optimization of<br />

the production <strong>and</strong> the contract portfolio, which could typically be used to<br />

hedge future profits from the production portfolio, is needed. It is obvious

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