Electricity Marginal Cost Pricing -  Monica Greer

Electricity Marginal Cost Pricing (eBook)

Applications in Eliciting Demand Responses

(Autor)

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2012 | 1. Auflage
366 Seiten
Elsevier Science (Verlag)
978-0-12-385466-7 (ISBN)
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Packed with case studies and practical real-world examples, Electricity Marginal Cost Pricing Principles allows regulators, engineers and energy economists to choose the pricing model that best fits their individual market.

Written by an author with 13 years of practical experience, the book begins with a clear and rigorous explanation of the theory of efficient pricing and how it impacts investor-owned, publicly-owned, and cooperatively-owned utilities using tried and true methods such as multiple-output, functional form, and multiproduct cost models. The author then moves on to include self-contained chapters on applying estimating cost models, including a cubic cost specification and policy implications while supplying actual data and examples to allow regulators, energy economists, and engineers to get 'a feel' for the methods with which efficient prices are derived in today's challenging electricity market. The book is accompanied by a companion website which will allow for the testing of methods and validating results.


A guide to cost issues surrounding the generation, transmission, and distribution of electricity

Clearly explains cost models which can yield the marginal cost of supplying electricity to end-users

Real-world examples that are practical, meaningful, and easy to understand

Explans the policy implications of each example 

Provide suggestions to aid in the formation of  the optimal market price 


Packed with case studies and practical real-world examples, Electricity Marginal Cost Pricing Principles allows regulators, engineers and energy economists to choose the pricing model that best fits their individual market. Written by an author with 13 years of practical experience, the book begins with a clear and rigorous explanation of the theory of efficient pricing and how it impacts investor-owned, publicly-owned, and cooperatively-owned utilities using tried and true methods such as multiple-output, functional form, and multiproduct cost models. The author then moves on to include self-contained chapters on applying estimating cost models, including a cubic cost specification and policy implications while supplying actual data and examples to allow regulators, energy economists, and engineers to get a feel for the methods with which efficient prices are derived in today's challenging electricity market. A guide to cost issues surrounding the generation, transmission, and distribution of electricity Clearly explains cost models which can yield the marginal cost of supplying electricity to end-users Real-world examples that are practical, meaningful, and easy to understand Explans the policy implications of each example Provide suggestions to aid in the formation of the optimal market price

Chapter 2


The Theory of Natural Monopoly and Literature Review


The Natural Monopoly Conundrum


Historically, conventional wisdom has held that certain markets were “naturally monopolistic,” which means that, due to the presence of high fixed costs of which the average declines with increases in output, efficiency is best obtained when there is only one supplier. According to Kahn (1970, p. 15),

… the public utility industries are preeminently characterized in important respects by decreasing unit costs with increasing levels of output. That is indeed one important reason why they are organized as regulated monopolies: a “natural monopoly” is an industry in which the economies of scale are such that one company supplies the entire demand. It is a reason, also, why competition is not supposed to work well in these industries.

Included herein are the markets for electricity, natural gas, telephone, and water services. It has often been argued that what is driving this phenomenon is the irreversibility of the initial investment required to produce a particular good or service in a naturally monopolistic industry. More specifically, the underlying production technology of this product is such that a level of output exists for which average cost is minimized; at levels of output below this level average costs decline, and at levels above they rise. This is known as economies of scale and is investigated further in context to its relationship with the theory of natural monopoly.

Economists have spent many years attempting to assess that level of output at which the minimum efficient scale occurs. In some industries, such as the generation of electricity, a consensus has been reached that, at least in 1970, most firms were producing in and around this level, given a particular production technology (Christensen and Greene, 1976). In other words, economies of scale in the generation of electricity had been exhausted.

Until recently, no one questioned that the production of electricity was, in fact, a natural monopoly, as, like telephony, what is required here is a network—a complex, interactive, interdependent connection of wires (by which individuals gain access to the local distribution company, which is connected to the transmission grid at various nodes). This network represents an irreversible investment, which is characterized both by economies of scale and by those of network planning, and as such, yields a natural monopoly. Because this network leads to externalities, vertical integration has traditionally yielded the most efficient organization of the industry, especially for larger firms. But it is due to the vertical nature of electricity production that questions have arisen concerning whether any aspect of the production process may not be a natural monopoly. If this is the case, questions then become: would the market be better served by allowing competition into that component and would the gains from competition exceed the lost economies that would result? This is the critical element that needs to be explored.

Things are not always so clear, however. While there has been little work done in the areas of testing whether the transmission and distribution processes are natural monopolies, they are usually assumed to be so, as both are characterized by what is known as network economies. Network economies arise due to the interconnectedness of the national transmission grid so that significant saving in inputs and direct routing yield both economies of scale and economies of scope. These are defined later in this chapter, along with a review of the relevant literature.

Defining Natural Monopoly


Older industrial organization theory cited that the presence of scale economies determined whether an industry was a natural monopoly. It is important to note that much of the theory of natural monopoly is concerned with the precise meaning of “increasing returns” or, equivalently, decreasing average costs. Scale economies exist when a proportionate increase in output leads to a less-than-proportionate increase in cost. Mathematically, a cost function (one output) is said to exhibit global (local) economies of scale if

(2.1)

for λ > 1, q ≥ 0.

According to Marshall (1927), increasing returns can be either internal or external to the firm and, similarly, internal or external to the industry. A natural monopoly tends to arise due to high fixed costs, which tend to be asset specific and, as such, are largely sunk. As a result, average cost tends to decline as output is expanded over a large range, thus rendering a single provider socially optimal. In addition, economies of scale can be either technical (relating to the production process) or pecuniary, that is, related to the prices paid for inputs.

One of the difficulties in testing for natural monopoly is the practical application of testing for subadditivity of a firm’s cost function, which is critical, as local (global) subadditivity is a necessary and sufficient condition for local (global) natural monopoly (Evans, 1983). In addition, it is necessary to distinguish between single-output and multiple-output natural monopolies, which is done next.

For a Single-Output Market


An industry is said to be a natural monopoly if one firm can produce the desired market demand at a lower cost than two (or more) firms can. More specifically, it is defined in terms of a single-firm’s efficiency relative to the efficiency of other firms in the industry (as opposed to a firm being the controller of an essential resource or having a patent on a particular product). In other words, economies of scale may exist in the production of a particular product. Some characteristics of a natural monopoly, which are attributable to economies of scale, include:

1. Decreasing long-run average cost.

2. High fixed costs.

3. Subadditivity of its cost function.

Although interrelated, the most important of these is subadditivity of the firm’s cost function, which means that it is less expensive for one firm to produce the total output demanded than it would be for several firms to produce proportions of it. This can be expressed as

(2.2)

where ∑ yi = Y.

If this holds, then the cost function is strictly subadditive at output level Y (Sharkey, 1982). For a single-output firm, subadditivity is both necessary and sufficient for a natural monopoly, as subadditivity implies that it is more efficient for a single firm to produce all of the output in the market. It is important to note that subadditivity is a local concept; that is, just because the cost is subadditive at one level of output does not necessarily mean that it is subadditive at all output levels, or globally subadditive. This implies that the total cost of production must be evaluated at all levels of output up to that level that satisfied market demand.

Average Cost


Certainly, declining average cost throughout the relevant range of outputs is an indicator that the cost function is subadditive and that it is more efficient for one firm to supply the entire industry output, that is, a natural monopoly. What this requires, however, is that marginal cost also declines throughout a subset of this range of outputs. And necessary for this is a twice-differentiable cost function, which yields the appropriately shaped average and marginal cost curves. Such a cost function is displayed in Figure 2.1.

Figure 2.1 Total cost curve generated by a cubic cost function.

A cubic cost function yields the appropriately shaped average and marginal cost curves. For Y < Y*, cost increases at a decreasing rate. In this range, both marginal and average costs are declining. However, once diminishing returns set in, costs begin to increase at an increasing rate; it is in this range that marginal costs begin to rise and total cost increases at an increasing rate, which causes average cost to begin rising and yields the U-shaped average cost curve displayed in Figure 2.2.

Figure 2.2 Average and marginal cost curves generated by cubic total cost function.

A cubic cost function generates this particular shape and is of the general form:

(2.3)

so that average cost is given by

(2.4)

where AC(Y) = C(Y)/Y and marginal cost is given by

(2.5)

Note: As long as a, b, and d > 0, and c < 0, then the total cost curve is as displayed in Figure 2.1, which yields appropriately (U-shaped, due to diminishing returns) shaped average and marginal cost curves; that is, as displayed in Figure 2.2.

The cubic cost function described earlier generates the average (AC) and marginal (MC) cost curves displayed in Figure 2.2. For Y < Y*, marginal cost declines and pulls the average cost down with it; this is the region of the total cost curve in which cost is rising at a decreasing rate. Once diminishing returns set in, marginal costs rise and eventually cause the average cost to rise as well, which occurs at Y* when total costs begin to rise at an increasing rate.

Economies of Scale


Of the three cost concepts just described, average cost is...

Erscheint lt. Verlag 13.3.2012
Sprache englisch
Themenwelt Technik Elektrotechnik / Energietechnik
Wirtschaft Volkswirtschaftslehre Ökonometrie
ISBN-10 0-12-385466-0 / 0123854660
ISBN-13 978-0-12-385466-7 / 9780123854667
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