Integration of renewable energy in interconnected transmission grids Østergaard, Poul Alberg



Similar documents
Grid requirements with scattered load balancing and an open electricity market Poul Alberg Østergaard * Aalborg University

Impacts of large-scale solar and wind power production on the balance of the Swedish power system

Wind Power and District Heating

Preparatory Paper on Focal Areas to Support a Sustainable Energy System in the Electricity Sector

From today s systems to the future renewable energy systems. Iva Ridjan US-DK summer school AAU Copenhagen 17 August 2015

Context: significant penetration of DG = increased risks for system security

Why wind power works for Denmark

Energy storage in the UK and Korea: Innovation, Investment and Co-operation Appendix 4.1: Stakeholder interviews from Korea

Modern Power Systems for Smart Energy Society

Integration of Distributed Generation in the Power System. IEEE Press Series on Power Engineering

Fact Sheet on China s energy sector and Danish solutions

NEW NUCLEAR POWER PLANT UNIT IN FINLAND ACCEPTED BY THE FINNISH PARLIAMENT

Grid codes for renewable energy integration

Smart solutions for fleets of all types & sizes of power generation. Marcus König, E F IE SGS / September 2013

Aalborg Universitet. EnergyPlan: computer model for energy system analysis Lund, Henrik; Münster, E.; Tambjerg, Leif H. Publication date: 2004

Value of storage in providing balancing services for electricity generation systems with high wind penetration

Energy Storage for Renewable Integration

Energinet.dk and the Danish Energy System

Analysis of the EU Renewable Directive by a TIMES-Norway

A vision of sustainable energy future: A multi-energy concept of smart energy systems Central European Student and Young Professionals Congress

Totally Integrated Power SIESTORAGE. The modular energy storage system for a reliable power supply.

Renewable Energy on Regional Power Grids Can Help States Meet Federal Carbon Standards

System-friendly wind power

Design and Operation of Power Systems with Large Amounts of Wind Power, first results of IEA collaboration

ALL ISLAND GRID STUDY WORK STREAM 4 ANALYSIS OF IMPACTS AND BENEFITS

Aalborg Universitet. Energy upgrading measures improve also indoor climate Foldbjerg, Peter; Knudsen, Henrik Nellemose. Published in: REHVA Journal

Syddansk Universitet. Publication date: Document Version Publisher final version (usually the publisher pdf) Link to publication

NATURAL GAS DEMAND AND SUPPLY Long Term Outlook to 2030

Electricity Rates Forecasting:

Short-term solar energy forecasting for network stability

Residential heat pumps in the future Danish energy system

De energievoorziening in 2040;

Investing in renewable energies at local level: successful example from the municipality of Bragança

Simulating the electricity spot market from a Danish perspective

ACCELERATING GREEN ENERGY TOWARDS The Danish Energy Agreement of March 2012

Introduction Anders Plejdrup Houmøller, CEO Houmoller Consulting ApS

Development and Operation of a Wind Power Based Energy System : Experiences and Research Efforts

Enhanced Heating and Cooling Plans to Quantify the Impact of Increased Energy Efficiency in EU Member States

Summary technical description of the SUNSTORE 4 plant in Marstal

A Cheaper Renewable Alternative for Belarus

Wind-Diesel Hybrid System Options for Alaska. Steve Drouilhet National Renewable Energy Laboratory Golden, CO

Wind Power Overview - with offshore focus. Jörgen Svensson Industrial Electrical Engineering and Automation

Summary of the Impact assessment for a 2030 climate and energy policy framework

CHAPTER 1 INTRODUCTION

Recent Advances in Compressed Air Energy Storage and Thermo-Mechanical Electricity Storage Technologies

Electric Power Systems An Overview. Y. Baghzouz Professor of Electrical Engineering University of Nevada, Las Vegas

CSP. Feranova Reflect Technology. klimaneutral natureoffice.com DE gedruckt

Power System Models. Deliverable 3.2. A Description of Power Markets and Outline of Market Modelling in Wilmar

THE GREEN ELECTRCITY MARKET IN DENMARK: QUOTAS, CERTIFICATES AND INTERNATIONAL TRADE. Ole Odgaard Denmark

RENEWABLE ENERGY MIX FOR EGYPT

Simulation of parabolic trough concentrating solar power plants in North Africa

Samsø Energy Vision 2030 Mathiesen, Brian Vad; Hansen, Kenneth; Ridjan, Iva; Lund, Henrik; Nielsen, Steffen

Main variations of business models for Flexible Industrial Demand combined with Variable Renewable Energy

Infrastructure in a low-carbon energy system to 2030: Transmission and distribution. Final report. for. The Committee on Climate Change

FRCC Standards Handbook. FRCC Automatic Underfrequency Load Shedding Program. Revision Date: July 2003

EFFICIENT ENERGY SUPPLY (ELECTRICITY AND DISTRICT HEAT) FOR THE CITY OF LINZ

7: The electricity market

Medium voltage products. Technical guide Smart grids

Macro-economic impact of Renewable Energy Production in Belgium. 21 October 2014

Modelling of wind power fluctuations and forecast errors. Prof. Poul Sørensen Wind Power Integration and Control Wind Energy Systems

Deep Dive on Microgrid Technologies

Your Power. Traction energy

The Cost of Producing Electricity in Denmark

Enlarged Wind Power Statistics 2010 including Denmark, Germany, Ireland and Great Britain

Glossary of Terms Avoided Cost - Backfeed - Backup Generator - Backup Power - Base Rate or Fixed Charge Baseload Generation (Baseload Plant) -

Bornholm Test Island. Jacob Østergaard Professor, Head of Center Center for Electric Power and Energy, DTU Electrical Engineering

The Impact of Wind Power on Day-ahead Electricity Prices in the Netherlands

THE EUROPEAN GREEN BUILDING PROGRAMME. Technical Module on Combined Heat and Power

Karnataka Electricity Regulatory Commission. Discussion note on

Loviisa 3 unique possibility for large scale CHP generation and CO 2 reductions. Nici Bergroth, Fortum Oyj FORS-seminar

THE COSTS OF DECARBONISING ELECTRICITY GENERATION

wind power and the UK wind resource

Press Release. During the third quarter of 2013/14

Integrating Renewable Electricity on the Grid. A Report by the APS Panel on Public Affairs

Renewable Electricity and Liberalised Markets REALM. JOULE-III Project JOR3-CT GREECE ACTION PLAN. By ICCS / NTUA K. Delkis

Modelling framework for power systems. Juha Kiviluoma Erkka Rinne Niina Helistö Miguel Azevedo

How To Make Money From Energy Storage

SmartGrid aktiviteterne på Bornholm

Understanding the Balancing Challenge. For the Department of Energy and Climate Change

Green or black windpower? Salzburg 30 August 2011

SOLAR PV-WIND HYBRID POWER GENERATION SYSTEM

The function of a power station is to deliver

Study on flexibility in the Dutch and NW European power market in 2020

CHAPTER 3. The sun and the seasons. Locating the position of the sun

Anita Rønne. Análisis del marco normativo de las redes inteligentes en Europa The European legal framework for smart grids

COMPARISON OF ELECTRICITY GENERATION COSTS

HVDC Technology for Large Scale Offshore Wind Connections

State of Renewables. US and state-level renewable energy adoption rates:

DANISH DISTRICT ENERGY PLANNING EXPERIENCE

CHINA 2050 HIGH RENEWABLE ENERGY PENETRATION SCENARIO AND RODAMAP STUDY

Office of Energy Research, Policy and Campus Sustainability

Danish Energy Model RE Policy Tools MAIN Asian Dialog, Bali January Mr. Henrik Breum Special Advisor

Sustainable water heating solutions through solar systems

The Impact of Climate Change on the Renewable Energy Production in Norway

Brochure Introducing HVDC

Applicability of Trigeneration Systems in the Hotel Buildings: The North Cyprus Case

Integrating 300 GW wind power in European power systems: challenges and recommendations. Frans Van Hulle Technical Advisor

Big Data and Energy Systems Integration

WP1 Task 1 The Drivers of Electricity Demand and Supply

Levelized Cost and Levelized Avoided Cost of New Generation Resources in the Annual Energy Outlook 2015

Transcription:

Aalborg Universitet Integration of renewable energy in interconnected transmission grids Østergaard, Poul Alberg Published in: ISP Skriftserie Publication date: 2008 Document Version Publisher's PDF, also known as Version of record Link to publication from Aalborg University Citation for published version (APA): Østergaard, P. A. (2008). Integration of renewable energy in interconnected transmission grids. ISP Skriftserie, (2008-1), 29. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.? Users may download and print one copy of any publication from the public portal for the purpose of private study or research.? You may not further distribute the material or use it for any profit-making activity or commercial gain? You may freely distribute the URL identifying the publication in the public portal? Take down policy If you believe that this document breaches copyright please contact us at vbn@aub.aau.dk providing details, and we will remove access to the work immediately and investigate your claim. Downloaded from vbn.aau.dk on: February 07, 2016

Poul A. Østergaard Integration of renewable energy in interconnected transmission grids No. 2008-1 ISSN 1397-3169-pdf PUBLICATIONSERIES DEPARTMENT OF DEVELOPMENT AND PLANNING

Integration of renewable energy in interconnected transmission grids Aalborg University and Poul A. Østergaard 2008 Publication series 2008-1 ISSN 1397-3169-pdf Department of Development and Planning Aalborg University Fibigerstraede 11-13 DK-9220 Aalborg

Integration of renewable energy in interconnected transmission grids Poul A. Østergaard * Department of Development and Planning Aalborg University Fibigerstræde 13 9220 Aalborg SØ Denmark Abstract At modest penetration wind power merely substitutes electricity generated typically at thermal power plants and thereby only giving economic benefits comparable to the saved marginal fuel and operation and maintenance costs. At higher penetrations, it becomes increasingly important for the energy system to be able to operate without costly reserve capacity awaiting fluctuations in demand or wind power generation that need be countered. Existing interconnections of transmission systems are mainly in order to assist in reducing reserve capacity in thermal power generation systems. While indeed relevant in thermal systems, this is typically even more so in renewable energy based systems, where fluctuations * e-mail poul@plan.aau.dk Fax +45 98153788 1

to a large extent are uncontrollable making interconnected systems an interesting option for integration of electricity produced on such energy sources. Using a Danish example this article demonstrates how different demand and production patterns in different geographical areas assist in evening out fluctuations and imbalances between demands and productions in systems with high penetrations of renewable energy thereby reducing needs for reserve capacity. Prospects that will be relevant also in other places if renewables are to play a large role worldwide. However, the article also demonstrates that there are limits to what can be gained on this account. Key words Grid integration, wind power, interconnected transmission grids Introduction The transition from fossil fuel-based power generation to power generation based on fluctuating energy sources such as wind, sun, and wave power introduces challenging demands on the operation of electricity systems. Even without such constraints, other constraints in the form of cogeneration of power and heat, the cogeneration of power and cooling or the cogeneration of power and desalinated water impose problems on the systems load-following capabilities. Development in the way electricity is being consumed adds another dimension to the issue. Traditional electric engines decrease their power up-take if generators are overloaded thus causing the frequency to drop and thereby relieving the generators of some load. With many electric engines operated through frequency-converters, loads are not relieved but rather kept constant. 2

The world has many trans-national grid interconnections but also a number of systems disconnected from other systems or only connected via direct current (DC) lines and thus not synchronised and without the direct frequency controlled load balancing of interconnected alternating current (AC) systems. Scandinavia has one system (Nordel), most of continental Europe another (UCTE; after having been split up into two for a number of years following the wars in Balkan), North America has several. There are tendencies in the direction of larger interconnections, as exemplified with the Arab world. With the ongoing interconnection project The Gulf Electricity Interconnection Grid, a shift has been set in motion regarding changing electricity from being national or even local affairs to being a regional affair. Through the Gulf Electricity Interconnection Grid, the members of the Cooperation Council for the Arab States of the Gulf will eventually connect to the Mediterranean Middle East and Europe through Turkey as well as through the Arab-Maghreb line to North Africa and Spain. Though such distances are beyond what is readily technically feasible in terms of power exchange it does emphasize the interconnection trend of the larger area. While the Gulf Electricity Interconnection Grid primarily is in order to reduce reserve capacity requirements as discussed by e.g. [1] and illustrated by the interconnection costs being distributed proportionally to the individual countries reserve capacity savings, it will also have a positive effect on the possibility of exploiting renewable energy sources. Apart from most notably electricity production based on solid renewable fuels and hydropower, most renewable energy sources are characterised by intermittent natures and therefore an inherent need of either reserve capacity or other means of dealing with the fluctuations. In general, the smaller the system, the fewer the plants, the smaller the variation in energy sources and the smaller the geographic extension of the area in question, the larger the need 3

for reserve capacity. Interconnection schemes are therefore seen as measures required for integration of fluctuating renewable energy sources, see e.g. [2] In line with the European Union s adoption of a stringent Kyoto-derived carbon dioxide emission reduction target, Denmark has pursued an ambitious energy policy. This has resulted in a complex energy system with many sources of energy being tapped and many interdependencies between sources, demands and conversion systems. In addition, however, Western Denmark has 1200 MW AC capacity to Germany, 1100 MW high voltage DC (HVDC) capacity to Norway and 600 MW HVDC capacity to Sweden while Eastern Denmark has a total capacity of 1900 MW to Sweden and 600 MW to Germany. Though not mutually connected (see figure 1), the two non-synchronised areas of Denmark thus each have strong ties abroad aiding in power balancing and reducing needs for reserve capacity. The Danish international connections are summarized in table 1. In addition to the issue of mere generating capacity, an added issue is that of ancillary services (basically grid stability) which is getting increasing attention within utilities and the research community addressing the integration of fluctuating electricity sources. This is increasingly important as these services traditionally have been supplied by the large power plants and with stronger reliance on distributed generation technologies, the systems must maintain resilience against grid disturbances without needing these ancillary service providers of the past. Scope of article The scope of this article is to analyse how reserve capacity is required in the Western Danish electricity system. The analyses are made under different assumptions regarding the variation 4

curves of supply and demand as a consequence of areas being interconnected or not and under different assumptions of developments in installed wind power capacity; wind power being he most notable fluctuating power source in Denmark. Time variations of demands and productions Both production and consumption varies in a diurnal cycle, a weekly cycle and a seasonal cycle. The diurnal cycle of the demand is due to the timing of meal preparation, industrial activity, need for illumination etc. The weekly demand cycle is due to the reduced needs of weekend-closed companies, institutions and organisations and the seasonal demand cycle due to changing needs for illumination, heating and cooling at high latitudes. The production system has to follow the demand variations, so neglecting international trade, the production should equal the demand curve. In addition however, in systems exploiting renewable energy sources, cogeneration of heat power (CHP) or cogeneration of cooling and power, additional time variations are introduced. The CHP plant will e.g. have a production which is determined by temperature variations which vary in a daily and a seasonal cycle as well as with a stochastic element. The same applies to photo voltaic-based electricity generation where the altitude of the sun varies with the yearly cycle on top of which comes local climatic conditions influencing cloud coverage. The last to be mentioned here is wind power, which probably has the widest addressed fluctuations in power output of any generating technology. Depending on geographical setting, wind power may have a diurnal variation with a tendency of lower production at night than during the day as is the case in Denmark and a seasonal variation with generally higher wind velocities during the winter at the same time as the density of the air is higher thus adding to the power. 5

All these are factors contributing to the difficulty of designing energy systems with load following capabilities. One factor works against these fluctuations of which some are longterm foreseeable, some are short-term foreseeable and some are not foreseeable: geographic distribution of the production and the demand. In figures 2 and 3 for instance, hourly wind power inputs for the two non-connected areas of Denmark are shown for a winter and a summer week respectively. The two individual areas variations are higher than for the two areas combined. For the entire year 2004 for instance, wind input in Western Denmark averaged 555 MW and in Eastern Denmark 195 MW. The average deviation from these averages were 411 and 148 MW respectively indicating the fluctuating nature of wind power. Scaling Eastern Denmark to the Western Danish average the 148 MW would correspond to 411 MW. However, adjoining the two areas and again scaling to the Western Danish average, the average deviation would fall to 400 MW. This is of course not sufficient to render a flat production curve but is does demonstrate how enclosing a larger geographic area adds stability to the production. Particularly when taking into account the relatively modest size of Denmark and the fact that due to its size, the two areas of the country are usually subjected to the same depressions and high pressures. Demands in the two parts of Denmark are relatively similar though with a tendency of a lower demand in the Eastern part during the summer as indicated in figures 4 and 5. In order to gain a more even diurnal demand curve, larger geographic areas would need to be covered. Encompassing areas or countries with diverse industrial bases with different mixtures of 6

primary, secondary and tertiary economic sectors would even out demand peaks caused by large single users or clusters of similar and often partly synchronized industries. If it is habitual that certain types of industries work the same shifts in a country, then this aggravates the peaks. Covering more time zones in a demand area will also generate a natural alleviation of large power surges. This is of course from an overall system perspective. Technical, economic or organizational bottlenecks may influence the extent to which the effects of geographic dispersion may be utilised. Energy system scenario The analyses in this article take their point of departure in an energy system scenario for the year 2020 used in analyses by the Danish Energy Authority ([5] and [6]). Demands are thus the expected with a continuation of present trends and policies. However, the amount of onshore and off-shore wind capacity corresponds to the present level in spite of expected future increases in especially off-shore wind. Going even beyond the current level of approximately 20% wind share in Western Denmark, however would limit the extent to which the analyses and results would be relevant and valid in other countries. Thermal power plants are modelled as three types; 1) locally controlled CHP plants supplying electricity to the grid as well as heat to district heating areas. 2) Centrally dispatched CHP plants and 3) centrally dispatched power plants operating in condensing mode i.e. only with electricity generation. These condensing mode plants are merely modelled present in adequate quantities. 7

Finally, a certain degree of heat humps are included to assist integration of the fluctuating wind resource. The main parameters of the energy systems scenario are listed in Table 2. The core point of the analyses is of course to model the impact of adjoining areas and benefiting from the equalization of diurnal, weekly and seasonal variation curves. As noted regarding figures 4 and 5 however, demand variations are not so large, so mainly the impact of the wind variations are modelled here. This is done by comparing the energy system response to A. applying the actual wind generation of a year on an hourly basis (Denoted Reference) with B. applying an artificial wind generation of a year on an hourly basis averaging the actual data from the two areas where the smaller Eastern Area is weighed to match the Western level (denoted Artificial) In one analysis, however, demand is modelled applying an artificial demand curve averaging the actual demand curve and the same curve shifted six hours as an indication of the response of the system to a drastic geographic equalisation and a large interconnection of grids. The main analyses are furthermore conducted with two different regulation strategies in which the local CHP plants are operated A. according to a heat demand (Regulation Strategy 1) and B. in order to best help keep overall electricity load balance while also furnishing the required heat (Regulations Strategy 2) 8

In order to model the response of systems without the Danish heat-tied production and thus in order to obtain results valid for other climates, the system is then modelled in A. a situation with the CHP-tied heat demand that is applicable mainly in temperate and cold climates. B. a situation without the CHP-tied heat demand Finally, the system is modelled with higher quantities of wind power corresponding to levels twice and triple the present level. The energy system is modelled using the input-output model EnergyPLAN model developed by Henrik Lund (see e.g. [7] & [8]) which is a model designed to make analyses of energy systems with high degrees of fluctuating power and heat sources and many interdependencies of the energy systems. The parameter used for assessing the energy system performance is the required level of electricity generation in condensing mode operation as this has the lowest overall thermodynamic efficiency and therefore should be avoided. Results of energy systems analyses Modelling the energy system reveals that average production on condensation based power plants is decreasing slightly using the artificial wind distribution compared to using the actual wind distribution of the Reference situation. This applies to Regulation Strategy 1 and 2 as well as for the situation without any heat demand and CHP generation as indicated in figure 6 showing the changing needs for condensing mode power generation. In fact, however, as it also evident from the results in figure 6, differences are small and change over the year. 9

In some months notably spring months with negative values in the graphs - the reference wind distribution curve proves better than artificial wind distribution curve indicating that the actual wind distribution in fact matched demand better. For the entire year, average condensation-based power generation does nonetheless decrease by 7-8 MW by adopting the more levelled wind power distribution curve. Although limited, it does indicate some prospects particularly taking into consideration that the marginal electricity production typically is at older and less fuel-efficient plants. Showing the results in the form of a duration curve for condensation-based power generation as in figure 7 demonstrates the same marginal shift to the left from applying the artificial wind distribution curve for a larger geographic area. It also shows the duration curve in case wind power gave a fixed input for comparison. This corresponds to evening out wind variation over a very large area. Even in this case, condensation-based power generation would increase at points as was also evident from figure 6. The reason of course being that with fluctuating wind power, wind variations will follow demand at times. Modelling a system with a demand curve whish has been smoothened corresponding to an equalization over six time zones, renders a duration curve shifted slightly left (not included in article). Without heat demand tying CHP heat production and thus CHP electricity generation, condensing mode electricity generation naturally increases as shown in figure 8, and with the artificial variation curve of wind power applied, demands are marginally lower. 10

These results are expected as CHP has a much larger share of power generation than wind turbines and the influence of omitting heat generation and thus CHP generation is therefore larger than the influence of going between two different sets of annual wind power variation curves. Assuming a higher penetration of wind power, results with the actual reference wind distribution and with the constructed artificial wind distribution diverge more as illustrated in figure 9 showing results for the energy system assuming double and triple the amount of wind power presently available. Here applying the more level artificial distribution curve for wind reduces correspondingly higher shares of electricity generation in condensing mode operation. One apparent element in figure 9 deserving a comment is the fact that high wind (as illustrated by the triple curve) may require a higher level of electricity in condensing mode operation. This is due the present circumstance that wind turbines do no actively assist in maintaining grid stability i.e. frequency stability, voltage stability and in supplying adequate short-circuit power available. At high levels of instantaneous wind production, other power plants typically large CHP plants or condensing mode plants using synchronous generators - need to generate a correspondingly higher output to supply the required ancillary services. If ancillary services were supplied from wind turbines, the duration curves in figure 9 would shift to the left and have a steeper inclination. This is shown in Figure 10 where the wind turbines are modelled being able to supply ancillary services. 11

Error analysis and validation of results The analyses have been made using the EnergyPLAN model. Having been applied to a number of energy systems analyses published in peer-reviewed journals, the model itself is well-published and also well-documented in literature. The model determines the optimal functioning of the energy system based on a number of exogenous characteristics. These include electricity and heat demand patterns and production on weather and climate given production units e.g. wind power. Based on these user-given variations and other systems characteristics such as storages and regulations strategies, the model determines what other productions must be scheduled to assure power balance in the system. As the model is deterministic rather than probabilistic, the time variation play an important role in the modelling. s potential source of error in the analyses is hence the fact that the analyses are carried out with wind production data for a specific year. In order to asses the influence on this, a second set of data for 2005 have been used in the key analysis of the immediate influence of interconnection i.e. a comparison of required condensing mode generation with a) actual wind variation of the year and with b) artificially levelled wind variation. Here the results show also a marginal decline in average condensing mode power generation. While it is 8 MW with 2004 data, the decline is only 2 MW with 2005 data. There is thus still a positive albeit marginal positive influence. Conclusions The results of this article demonstrate that increasing the geographical extension of the area in which renewable fluctuating energy sources are being exploited reduces the average need for reserve capacity in the form of power plants operating in condensing mode operation. While the analyses have focused on one single source of renewable energy i.e. wind power, 12

the analyses indicate that analyses of energy systems encompassing more unrelated energy sources or areas with larger geographic distributions would lower the demand for reserve capacity further. This is thus also the result of interconnecting transmission areas with distinct production or consumption patterns. However, the results also show that the while there is something to be gained in terms of improving the integration of wind power by expanding the geographic area of grid interconnection, grid interconnection cannot stand alone. While average condensing mode capacity requirement does drop, the same is not generally the case with the maximum required condensing mode capacity. Other measures are hence required to facilitate the integration of fluctuating renewable energy. Such other measures have not been addressed in this article though. In terms of integrating renewable energy sources, the result also demonstrate that concern for ancillary services must be a priority as this can otherwise impede transition to renewable energy sources if conventional thermal power plants need to supply these. Acknowledgements This article is substantially revised version of a paper presented at the PowerGEN Middle East, Abu Dhabi 2006. References 13

[1] Bowen BH, Sparrow FT, Yu Z, Al-Salamah M. Policy analysis in the development of integrated Middle East regional energy markets In Proceedings of 8th International Power Generation Conference, Dubai, October 7-9, 2002 [2] Matthews J. Seven steps to curb global warming. Energy Policy 2007; 35(8): 4247-4259 [3] Energinet.dk. Foreign connections (Udlandsforbindelser). Fredericia 2007 (In Danish). See also http://www.energinet.dk/da/menu/transmission/udlandsforbindelser/udlandsforbindelser.ht m [4] Energinet.dk. Extraction of market data (Udtræk af markedsdata). Fredericia 2007. (In Danish). See also http://www.energinet.dk/da/menu/marked/udtræk+af+markedsdata/udtræk+af+markedsdata. htm [5] Danish Energy Agency. Report from the workgroup on electricity production form CHP and RES. (Rapport fra arbejdsgruppen om kraftvarme og VE-elektricitet). Copenhagen 2001 (In Danish). See also http://www.ens.dk/graphics/publikationer/forsyning/eloverlobsrapport_11-10-01.pdf [6] Danish Energy Agency. Attachments to report from the workgroup on electricity production form CHP and RES, Attachment 6 (Rapport fra arbejdsgruppen om kraftvarme og 14

VE-elektricitet. Bilagsrapport). Copenhagen 2001 (In Danish). See also http://www.ens.dk/graphics/publikationer/forsyning/bilag_eloverlob_16-10-01.pdf [7] Lund H. Münster E. Tambjerg LH. EnergyPlan Computer model for energy system analyses Version 6.0. Aalborg University 2004. See also [8] Lund H. Duić N. Krajac ić G. da Graça Carvalhoc M. Two energy system analysis models: A comparison of methodologies and results. Energy 2007; 32 (6): 948-954 15

Figure captions Figure 1: The 400 kv transmission grid in Denmark and connections abroad. Western Denmark is AC connected to Germany while Eastern Denmark is AC connected to Sweden and the two areas are thus not synchronized. Figure 2: Wind power generation in Eastern and Western Denmark a winter week in 2005. The abscissa is in absolute hours of the year. Values for Eastern Denmark have been scaled so the half-year average matches that of Western Denmark. Data source: [4] Figure 3: Wind power generation in Eastern and Western Denmark a summer week in 2005. The abscissa is in absolute hours of the year. Values for Eastern Denmark have been scaled so the half-year average matches that of Western Denmark. Data source: [4] Figure 4: Electricity demand in Eastern and Western Denmark a winter week in 2005. The abscissa is in absolute hours of the year. Values for Eastern Denmark have been scaled so the half-year average matches that of Western Denmark. Data source: [4] Figure 5: Electricity demand in Eastern and Western Denmark a summer week in 2005. The abscissa is in absolute hours of the year. Values for Eastern Denmark have been scaled so the half-year average matches that of Western Denmark. Data source: [4] Figure 6: Change in average monthly condensation-based power generation with the artificial yearly wind distribution curve with Regulation Strategies 1 and 2 and in a situation without any heat demand covered by CHP. Positive values indicate reduced condensation-based power generation compared to the reference scenario with the actual wind distribution. 16

Figure 7: Duration curve for the reference system and for system with artificial annual variation curve for wind power and a system with constant wind power of 550 MW throughout the year. Figure 8: Duration curve for the reference system, for a system without heat-tied CHP generation with the same reference wind variation curve and the same with the artificial annual variation curve for wind power. Figure 9: Duration curve for the reference system and for system with double and triple the amount of wind power with 2004 and artificial annual wind variation curves for wind power. Figure 10: Duration curve for a) the reference system b) for a system with triple the amount of wind power using reference wind distribution and c) for a system with triple the amount of wind power using reference wind distribution and where wind turbines are enabled to supply ancillary services 17

Tables Connection Capacity Type of connection W Denmark Germany W Denmark Sweden 1200 MW Aerial AC lines (400, 220 & 150 kv) 600 MW Underwater HVDC lines (250kV) KontiSkan W Denmark Norway 1100 MW Underwater HVDC lines (250 & 350 kv) Skagerrak E Denmark Sweden E Denmark Germany 1900 MW Underwater AC lines (400 & 132 kv) 600 MW Underwater HVDC line (400 kv) - Kontek Table 1: Foreign electric connections from Denmark. Source: [3] 18

Consumption [TWh] Generating capacity [MW] 24.87 Electricity 20.00 District heat 1450 1300 5000 2400 350 Locally controlled CHP Centrally dispatched CHP Central stations Condensing operation Wind (inland and off-shore) Heat pumps Table 2: Energy system scenario parameters. 19

Figure 1 Norway Sweden West Denmark East Denmark Sweden Germany Germany 20

Figure 2 2500 2000 Wind power [MW] 1500 1000 500 West East 0 0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 Hour 21

Figure 3 2500 2000 Wind power [MW] 1500 1000 500 West East 0 4032 4056 4080 4104 4128 4152 4176 4200 Hour 22

Figure 4 4000 3500 3000 Demand [MW] 2500 2000 1500 1000 500 West East 0 0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 Hour 23

Figure 5 4000 3500 3000 Demand [MW] 2500 2000 1500 1000 West East 500 0 4032 4056 4080 4104 4128 4152 4176 4200 Hour 24

Figure 6 25 20 Monthly averages [MW] 15 10 5 0-5 -10-15 January February March April May June July August September October November December RegStrat1 RegSTrat2 RS1-No heat 25

Figure 7 3000 Required condensing mode capacity [MW] 2500 2000 1500 1000 500 0 0 20 40 60 80 100 Duration [% of year] Reference Artificial Constant wind 26

Figure 8 3000 Required condensing mode capacity [MW] 2500 2000 1500 1000 500 Reference Ref w.o heat Artificial w.o heat 0 0 20 40 60 80 100 Duration [% of year] 27

Figure 9 Required condensing mode capacity [Hours/year] 3000 2500 2000 1500 1000 500 0 0 20 40 60 80 100 Duration of year [%] Reference Double wind Double wind Art Triple wind Triple wind art 28

Figure 10 3000 Required condensing mode capacity [Hours/year] 2500 2000 1500 1000 500 Reference Triple wind Triple Wind Ancil 0 0 20 40 60 80 100 Duration of year [%] 29