Wind Performance Characteristics |
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After a description of the range of wind turbine applications, the principal wind turbine and wind system performance characteristics are defined and discussed with illustrative examples. A fundamental descriptor of a wind turbine's performance is its power curve, the relationship between the turbine's electric power output and the wind speed. An equally fundamental descriptor of the wind regime in which the wind turbine operates is the wind speed frequency distribution. The wind speed frequency distribution gives the number of hours per year that the wind speed lies within a narrow wind speed interval. Together, these determine the wind turbine energy production and, with allowance for losses, windfarm energy production. Other important parameters are the measures of wind turbine reliability (availability), wind system energy productivity (capacity factor) and the degree to which a wind system is supplying power to a load compared to that supplied by the conventional generating systems on line (penetration). The significant advances in wind turbine reliability and maintenance costs that have occurred since 1981 are reviewed. Next, the time variability of the electric power generated by wind systems is discussed. The differences between the electrical output of a single wind turbine and a windfarm are pointed out. Finally, a topic of central importance to utilities, the technical characteristics of the electric power provided by wind systems are reviewed. Wind system economic characteristics are touched upon only briefly as they are treated in a companion paper.2 Historical perspective These differing approaches and scales of installations have implications for wind in the United States. In the future, we can expect to see two classes of installations. For some states and regions in the United States, it may be appropriate to emulate the early Danish model. That is, it may be both easier and more appropriate initially to install small clusters of wind turbines and then later to consider larger, windfarm installations. The desirability of this approach depends on many factors. These include the nature of the grid and the load (whether dispersed or concentrated geographically), the demands for additional power (load growth) and the technical characteristics (strength) of the transmission/distribution system. In utility terms, the contrast here is between the appropriateness and advantages of distributed generation vs. central station generation. The range of wind turbine applications Application classes The other two application classes typically utilize a smaller number of wind turbines of smaller unit size. These are wind turbines used as grid-connected, distributed generation, and wind turbines closely integrated with other power sources and capable of operation without the presence of a larger utility grid. These are hybrid power systems. Both classes have historical precedents in this country and in Europe. |
Wind systems consist of electricity- generating wind turbines used in windfarm arrays, for distributed generation or turbines used as a component of hybrid power systems. | ||||||||||||||||||||||||
| Windfarms In this country, we may be most familiar with the large windfarms in California and, more recently, elsewhere in the country. These windfarms are comprised of arrays of wind turbines interconnected electrically so as to deliver their power to the utility grid. From an electrical power flow perspective, the windfarm acts in parallel with the utility's conventional generating capacity to supply the power demands of the connected load. The arrays can consist of hundreds of machines with a combined windfarm power rating of hundreds of megawatts. Usually, however, the power rating of the windfarm is but a small fraction of the conventional generation capacity on the grid, typically no more than 15 percent. The conventional sources almost always supply the larger fraction of the power required by the load. In general the ratio of wind generating capacity to that of the total capacity (wind plus conventional) serving a utility load at any given moment is measured by the wind penetration WP:
For example, suppose at a given time of day, the utility load was 1,100 MW and that this demand was being met by a combination of wind and conventional generating sources. If the wind capacity on line was 100 MW and the conventional capacity was ,1000 MW, then the wind penetration value at this time would be 0.909 or 9.1 percent. With current wind turbine electrical technology, the maximum value of wind penetration with which most U.S. utility systems are comfortable lies in the range of 10 percent to 15 percent. This upper limit on the amount of wind that can be accommodated by a utility system reflects concerns about the technical characteristics of the power supplied by the wind system, that is, the power quality. Specifically, the concern is over the impact of the time-varying, wind-generated electrical power on the short-term voltage and frequency stability of the combined power supplied to the load. As indicated by the breadth of the range, the acceptable penetration value depends on a number of factors. These include the details of the wind technology; the operating characteristics of the conventional generation sources; and the capacity and length of the transmission lines connecting the sources to the load. The upper boundary on the amount of wind power that can be integrated with conventional sources is not a hard and fast limitation. For example, hybrid power systems, typically much smaller in total generating capacity, achieve much higher fractions. In some situations, the wind penetration value can reach 100 percent, that is, the load is supplied entirely by the wind turbine component of the hybrid system. Further, even when integrated with conventional utility generation systems, the value of this wind penetration upper limit will increase as more operating experience is gained, as the technology changes and as the control systems of the wind and conventional sources are more tightly integrated. Currently, the power ratings of wind turbines designed primarily for windfarm use range from approximately 300 kW to 750 kW, with corresponding rotor diameters ranging from 35 meters (m) (115 ft) to 50 m (164 ft). Over the past decade and a half of intensive development of these systems, their unit size has increased, and their reliability and economics have improved dramatically. The economics of large-scale, grid-connected wind systems now approach those of some conventional power generation systems. While there are economic and operational benefits
associated with the aggregation of large numbers of wind turbines into a windfarm,
windfarms do not have to comprise hundreds of wind turbines as in the large California
windfarms. Just as there is a range of wind turbine sizes, there also is a range of
windfarm sizes. The large California installations form one end of the windfarm size
range. The other end can be a small cluster of grid-connected turbines. Regardless of the size, the defining characteristics of a windfarm are 1 ) the wind turbines are connected to a utility grid, 2) the wind generating capacity usually is a small fraction of the conventional capacity supplying the utility system load (low values of wind penetration) and 3) the wind turbines require some level of electrical support from the utility grid. Depending on the details of the generator and other electrical technology employed in the wind turbine, this support can range from a simple frequency reference (for synchronization of the wind-generated electricity to that of the conventional sources) to the consumption of reactive power (required for operation of the wind turbine generators). Regardless of the windfarm size, standard utility techniques and components (e.g., transformers and protective switchgear) are used to connect the wind turbines to the grid. The wind turbine is the only non-standard utility component. Distributed generation When connected to the grid, these systems are called distributed wind generation systems. From both utility and customer perspectives, distributed generation can be useful in providing end-of-line voltage support to an extensive grid. Distributed wind systems also can be used as an alternative to extension of the grid to distant loads. As will be noted, wind system applications form a continuum. Thus in many instances, the distinction between a windfarm and a distributed system may not be clear. The only difference may be one of the size or the number of the wind turbines. When not connected to the grid, but connected directly to a load, the electric power is unregulated. The power quality and delivery characteristics are determined only by the load and the output of the wind turbine. In general, the output of the wind turbine depends on the wind speed. Thus the load must be capable of using such unregulated power without damage to either the load or the wind turbine generator. An example of such a load is electric resistance heating. Development work is under way to improve the regulation of the power from wind turbines not connected to the grid. Of particular interest is work aimed at successfully connecting an induction motor directly to a non-grid-connected wind turbine. Application examples include wind turbines used for water pumping, ice making and refrigeration. |
A windfarm power rating generally represents no more than 15 percent of a grid's conventional generation capacity. | ||||||||||||||||||||||||
| Hybrid power systems Hybrid power systems employ wind turbines and possibly other renewable power sources together with diesel generators to form the equivalent of a miniature grid. While the unit size of wind turbines in these applications typically ranges from 1 kW to 50 kW, much larger machines and hybrid power systems have been fielded. They may be used with diesel generators, energy storage such as is provided by batteries and, where appropriate, other renewable power sources such as photovoltaics or hydropower. Used in this mode, such systems are often called hybrid power systems. They typically are used where there is no utility grid. Because of the close coupling and control of all generation sources and some or all of the connected load, the wind component of hybrid power systems can achieve 100 percent penetration. That is, given suitable wind conditions, the wind system can supply nearly all of the power demanded by the load. A continuum of applications Windfarms are composed of numbers of wind turbines connected to an existing, typically much larger grid system managed by a utility. Wind turbines in grid-connected, distributed applications are but a very small-scale windfarm. Hybrid power systems, while they may be connected to an existing grid system, form their own utility by virtue of the integration and close operational coupling of conventional generation sources. Wind system energy productivity Overview The capacity factor is a measure of the energy production of a wind system or of any energy generation system. However, as a simple ratio of energies, this parameter says nothing about the physical processes associated with the conversion of power carried by the wind into electric power. Required is a description of the relationship between the power output of a wind turbine as a function of wind speed (the power curve) and the variation of wind speeds throughout a given period (the wind speed frequency distribution). Together, these functions describe the matching of the wind turbine power generation characteristics to those of the wind regime in which the wind turbine is situated. Together, these functions can be used to predict or estimate the wind turbine energy production. After accounting for losses in the electric power collection system, interactions between wind turbines in a windfarm and other losses, the individual wind turbine outputs can be summed to form an estimate of the windfarm energy production. These estimates or projections are most often cast in terms of a calendar year and are referred to as the annual energy production of the wind turbine or windfarm. How descriptions of the wind resource and the wind
turbine yield estimates of annual energy production
Wind speed frequency distribution. Graphed in figure
1 is the discrete version of a hypothetical wind speed distribution at the wind turbine
site. The wind speed distribution function F(v)* Wind Turbine Power Curve. Plotted in figure 2 is the power curve for a hypothetical 380 kW wind turbine. The power curve P(v) is the continuous function that specifies the wind turbine's electric power output as a function of wind speed. The discrete version, indicated by the small square symbols, is denoted by Pk where the integer index k is the same as that used for the wind speed distribution.
As indicated by the annotation in figure 2, a wind turbine power curve usually is described in terms of four distinct wind speed regions. These are described in table 1 with illustrative values referenced to figure 2. Of the four regions, note that the wind turbine generates and delivers power only in the wind speed ranges defined by regions 2 and 3. In region 1, there is not enough energy in the wind to produce useable power. In region 4, the winds are too energetic to justify the added structural strength and cost relative to the small number of hours per year that wind speeds occur within region 4.
Estimates of annual energy production. These functions, the wind speed frequency distribution and the wind turbine power curve, when multiplied together and summed over all wind speeds (all values of the index k), provide an estimate of the annual energy production:
Given a measured or an assumed wind speed frequency distribution and a wind turbine power curve, the relationship of equation 2 can be used to estimate the annual energy production to be expected from that wind turbine operating in the wind regime described by the wind speed distribution. Capacity factor as a measure of energy production
Thus by definition, the range of capacity factor values is from 0 to 1, or from 0 percent to 100 percent. Capacity factor values in the range 24 percent to 30 percent have been achieved by the better performing windfarm installations in California, with 28 percent being a value achieved by a good installation. For example, if a 100 MW wind system generated and delivered 245 million kWh during a given year, the corresponding capacity factor would be 28 percent:
As a further example, we can use equation 3 to calculate the annual energy production of a hypothetical 500 kW wind turbine operating at a capacity factor of 0.28. The result is 1.226 million kWh/yr. In reviewing wind system capacity factor values, one should ascertain the period of interest. While it is usually one year, capacity factors also can be defined for one month. If that month is one of very high, sustained wind speeds, then the corresponding capacity factor value can be misleading if interpreted as an annual average value. Capacity factor of conventional sources. In passing, we note that conventional sources also are intermittent but in a different way. They are subject to various types of outages, for example, due to maintenance and malfunctions. Capacity factors for conventional power generation systems are significantly higher but not 100 percent. Representative values might be in the range 60 percent to 70 percent, depending on the type of plant, its age and other factors. Wind system reliability |
Hybrid power systems can use wind turbines with diesel generators to form a miniature grid. | ||||||||||||||||||||||||
| The impact of design and
manufacturing Advances The first large-scale windfarms in California were installed in the early eighties, from 1981 through about 1983. These first-generation wind turbines experienced many failures, some quite spectacular. These early failures were the result, in part, of inadequate understanding of the wind gust forces on the flexural or fatigue failure modes of structural components. With vastly improved knowledge about the actual gust structure of the wind, the development and widespread use of improved modeling and design tools, improved manufacturing techniques, and millions of hours of operating experience, the reliability of current wind turbine designs has improved dramatically. The reliability improvements encompass not only the major structural components but also the supporting subsystems of the wind turbine. These include, for example, the wind turbine computer controller, yaw system and pitch control system. In addition, there have been improvements in the quality assurance and inspection programs of manufacturers. Designers have given significant attention to the repairability and maintainability of the wind turbine subsystems. Finally, the interval between major overhauls has been extended, for example, from five years to 10 years or more. There are several measures of these improvements and of the current reliability. These measures include the mean-time-between-failures (MTBF) for major components and subsystems, the mean-time-to-repair (MTTR) and the cost to correct a failure. An often-encountered, system- wide measure of reliability is the availability. Availability
Another, more difficult-to-determine and possibly more ambiguous definition is the ratio of actual hours of operation to the number of hours that the wind speeds were in the operational range:
No matter how defined, a perfect availability value would be 100 percent. That is, the system would have no outages or malfunctions that prevented the system from generating power. Modern windfarms now routinely achieve availability values of 98 percent or greater, up from 60 percent or (much) less in the early eighties.
Time variability of the powerThe most significant technical characteristic of the electric power produced by wind systems is its variation with time. This reflects the time-variability of the wind resource. In this section we examine the range of time scales and their implications for wind system performance. The range of time scales
Forecasting the wind For time scales extending from a month to a year, the ability to forecast wind speeds and the corresponding energy production has been developed to a significant degree. The detailed energy production projections made by wind meteorology specialists form the basis for the financing, wind turbine siting and construction of all windfarms. Correlation with the load Thus to the extent that there exists a correlation between the time profiles of the wind-generated electricity and the load demand, the wind system may be given a capacity value in addition to the energy value. The more correlated these profiles are, the more the wind-generated electricity can reliably supply part of the load. Depending on the capacity and cost structure of the conventional sources and the degree of wind penetration, the wind-generated electricity can be more useful and valuable than otherwise. Output of a single wind turbine The wind turbine control system can contribute to smoothing of the electric power output. Typically this occurs when the wind speeds are high enough that, in the face of changing input wind speeds, the control system modulates the efficiency of the wind turbine aerodynamic blades so as to maintain the electrical output at a constant value equal to the wind turbine power rating. |
Wind turbine reliability has improved dramatically since the early 1980s. | ||||||||||||||||||||||||
| Output of a windfarm In contrast, however, the electrical power output of a windfarm typically is considerably smoothed relative to that of a single turbine. The degree of smoothing depends on the geographical extent of the windfarm, the average wind speed, the control characteristics of the wind turbines and, finally, details of the terrain and how they influence the distribution of wind speeds across the windfarm. The fundamental reason for the smoothing is that the wind gust structure, both in space and time, typically becomes increasingly uncorrelated over distances greater than several rotor diameters. Relative to the fluctuations of a single wind turbine, a complete lack of correlation would imply that the fluctuations in the windfarm electrical power output are reduced by the square root of the number of uncorrelated machines in the windfarm contributing to the power output. As windfarms continue to be installed across large geographical areas, the same principle of areal smoothing of the aggregated output of the windfarms may apply. As with the wind turbines in an individual windfarm, such smoothing could occur as a result of the lack of correlation of the fluctuations in the wind fields incident upon the distributed windfarms.
Notes1. American Wind Energy Association news release, April 12, 1996. 2. "Wind Energy Costs." For further informationFurther information about the performance characteristics of wind energy systems may be obtained from published articles and reports, laboratories maintained by the U.S. Department of Energy, the American Wind Energy Association and from wind turbine manufacturers and developers. Organization addresses and reference sources are listed below. U.S. Department of Energy Wind Energy Technology: Generating Power from the Wind (WET), published bimonthly by the U.S. Department of Energy, Office of Scientific and Technical Information, P.O. Box 62, Oak Ridge, TN 37831. The March-April 1995 issue bears the publication numbers DOE/ WET-95/2 (PB95-933102) and ISSN:0896-5102 CODEN:WETWET. The publications are available from the National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161, telephone (703) 487-4650. Wind Energy Bibliography (Report NREL/SP-440-6642), May 1995, published by the National Renewable Energy Laboratory, 1617 Cole Boulevard, Golden, CO 80401-3393. Available from the National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161, telephone (703) 487-4650. Wind Project Performance, 1994 Summary (Report P500-95-003), by Juanita Loyola, California Energy Commission, Sacramento, CA 95814, August 1995. Collected Papers on Wind Turbine Technology (Report DOE/NASA/5776-2 and NASA CR-195432), David Spera, ea., U.S. Department of Energy, Conservation and Renewable Energy Technology, Office of Management and Administration, Washington, DC, May 1995. The Integration of Renewable Energy Sources into Electric Power Distribution Systems, Vol. 1, National Assessment (ORNL-6775/V1), by P.R. Barnes, J.W. Van Dyke, F.M. Tesche and H.W. Zaininger, Oak Ridge National Laboratory, June 1994. The Integration of Renewable Energy Sources into Electric Power Distribution Systems, Vol. 2, Utility Case Assessments (ORNL-6775/V2), by H.W. Zaininger, P.R. Ellis and J.C. Schaefer, Oak Ridge National Laboratory, June 1994. |
The electrical power output of a windfarm typically is smoother than that of a single wind turbine. | ||||||||||||||||||||||||
The Wind Energy Series is a product of the National Wind Coordinating Committee (NWCC). The NWCC is a collaborative endeavor that includes representatives from electric utilities and support organizations, state legislatures, state utility commissions, consumer advocacy offices, wind equipment suppliers and developers, green power marketers, environmental organizations, and state and federal agencies. |
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