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Erschienen in: Zeitschrift für Energiewirtschaft 1/2015

01.03.2015

An Illustrative Note on the System Price Effect of Wind and Solar Power: The German Case

verfasst von: Cosima Jägemann

Erschienen in: Zeitschrift für Energiewirtschaft | Ausgabe 1/2015

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Abstract

Exposing wind and solar power to the market price signal allows for cost-efficient investment decisions, as it incentivizes investors to account for the marginal value (\(MV^{el}\)) of renewable energy technologies. As shown by Lamont (2008), the \(MV^{el}\) of wind and solar power units depends on their penetration level. More specifically, the \(MV^{el}\) of wind and solar power units is a function of the respective unit’s capacity factor and the covariance between its generation profile and the system marginal costs. The latter component of the \(MV^{el}\) (i.e., the covariance) is found to decline as the wind and solar power penetration increases, displacing dispatchable power plants with higher short-run marginal costs of power production and thus reducing the system marginal costs in all generation hours. This so called ‘system price effect’ is analyzed in more detail in this paper. The analysis complements the work of Lamont (2008) in two regards. First of all, an alternative expression for the \(MV^{el}\) of wind and solar power units is derived, which shows that the \(MV^{el}\) of fluctuating renewable energy technologies depends not only on their own penetration level but also on a variety of other parameters that are specific to the electricity system. Second, based on historical wholesale prices and wind and solar power generation data for Germany, a numerical ‘ceteris paribus’ example for Germany is presented which illustrates that the system price effect is already highly relevant for both wind and solar power generation in Germany.

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Fußnoten
1
In contrast to Lamont (2010), Hirth (2010) and Nicolosi (2010) analyze the annual ‘value factor’ of wind and solar power in Northwestern Europe and Germany, respectively, which can be understood as a proxy/indicator for the \(MV^{el}\) of wind and solar power, as it is defined as the average hourly revenue of wind and solar power generators relative to the time-weighted average wholesale price (base-price) per year. Both papers apply a linear dispatch and investment model and find that the annual value factor of wind and solar power decreases with increasing penetration of these technologies.
 
2
Due to the assumption of perfect competition and a price-inelastic electricity demand the cost-minimization approach corresponds to a welfare-maximization approach. Alternatively, the optimality condition for the expansion of fluctuating wind and solar power units could be derived by maximizing profits (assuming perfect competition and a price-inelastic electricity demand).
 
3
The term ‘technology- and region-neutral’ indicates that each kWh of renewable electricity produced contributes to achieving the RES-E target irrespective of the technology or the region of its deployment.
 
4
Quota obligations in combination with tradable green certificates (TGC) fix the quantity of renewable electricity to be generated. The supply of TGC is ensured by giving producers a certificate for each unit of renewable energy sold. The demand for TGC is induced by transferring the politically implemented RES-E target to distribution companies (electricity suppliers), who are then required to prove that a certain proportion (quota) of the electricity supplied to their final consumers was generated from renewable energy sources.
 
5
The assumption that dispatchable generators offer their output at a price equal to their short-run marginal costs of power production reflects the assumption of perfect competition.
 
6
The assumption of a linear function is in line with Bode (2006). However, in reality, the shape of the merit-order curve is rather staircase-shaped. More specifically, with every generator bidding its total capacity at a price equal to its short-run marginal costs of power production, the aggregate supply is a staircase function.
 
7
The effects of wind and solar power generation with (almost) no variable generation costs on the wholesale price has been examined by, e.g., Gil et al. (2013), Woo et al. (2010), Jonsson et al. (2014), MacCormack et al. (2007), Munksgaard and Morthorst (2013), Saenz de Miera et al. (2013) or Sensfuß et al. (2008), based on historical as well as simulated data. All papers confirm the decreasing effect of increased wind and solar power generation on the wholesale price (short-term merit-order effect).
 
8
The wholsale price function corresponds to the merit-order curve of dispatchable power plants and reflects the short-run marginal costs of power production of the respective electricity system’s dispatchable power plants.
 
9
The restriction to the years 2011 and 2012 is due to the fact that solar power generation data from EEX (2006) are only available from 2011 onwards.
 
10
Another application of least-squares regressions of the wholesale price on the residual load can, for example, be found in Wagner (2010). Alternative empirical functions from hourly wholesale prices and (residual) load data are, for example, derived by Barlow (2002), Burger et al. (2006) and Elberg and Hagspiel (2013).
 
11
We note that production from wind and solar power generation (with marginal production costs of zero) would be offered at a price of zero on the energy exchange if there was no such system. In this case, our approach would only be suitable when additionally assuming that no negative prices are allowed at the energy exchange.
 
12
This is primarily due to the application of a linear regression function.
 
13
Moreover, in periods of high demand the load levels in neighboring countries can have a significant impact on national electricity prices (McMenamin et al. (2008)).
 
14
Appendix 5.2 provides a detailed discussion of the exogenous variation of wind and solar power capacities assumed in the numerical example (see also Table 3).
 
15
The benefits of regional diversification with respect to the smoothing out of fluctuations in wind power generation are, for example, discussed in Liu et al. (2010), Grothe and Schnieders (2010) Katzenstein et al. (2008) and Roques et al. (2008).
 
16
We note that the correlation between the wind/solar power production factor profile and the wholesale price profile (illustrated in Fig. 4) corresponds to the correlation between the wind/ solar power production factor profile and the residual load profile in the numerical analysis.
 
17
The level of decrease in the \(MV^{el}\) of wind/ solar power units differs between the single regions due to differences in the correlation of the regional production factor profiles and the load profile, as illustrated in Table 4 of the Appendix.
 
18
Equally, the \(MV^{el}\) of a solar power unit with the average production factor profile is more than 14 % higher than the \(MV^{el}\) of a solar power unit in central Germany at a penetration level of 58 TWh (32.6 thousand €/MW vs. 28.5 thousand €/MW), although the solar power unit with the average wind production factor profile has only 2 % higher FLH than the solar power unit in central Germany (1,072 h vs. 1,055 h).
 
19
The CO\(_2\;\) emission constraint reflects a cap- and trade-system for CO\(_2\;\) emission allowances.
 
20
The renewable energy constraint reflects a (technology- and region-neutral) quota system for fluctuating rewewable energy generation in combination with tradable green certificates (TGC).
 
21
Alternatively, it may be interpreted as the optimal level of a bonus payment given the analogy of quantity- and price-based mechanisms under the assumption of perfect information. However, for reasons of completeness, note that in markets with uncertainties, price-based and quantity-based instruments are no longer equivalent (Weitzman (1974)).
 
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Metadaten
Titel
An Illustrative Note on the System Price Effect of Wind and Solar Power: The German Case
verfasst von
Cosima Jägemann
Publikationsdatum
01.03.2015
Verlag
Springer Fachmedien Wiesbaden
Erschienen in
Zeitschrift für Energiewirtschaft / Ausgabe 1/2015
Print ISSN: 0343-5377
Elektronische ISSN: 1866-2765
DOI
https://doi.org/10.1007/s12398-014-0140-1

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