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Tiêu đề Calculated power curve and thrust coefficient
Tác giả GE Renewable Energy
Thể loại Technical documentation
Năm xuất bản 2019
Định dạng
Số trang 18
Dung lượng 682,84 KB

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Đường đặc tính công suất của tuabin gió hãng GE, mô tả về tương quan giữa các thông số đầu vào và đường đặc tính công suất phát điện của loại tuabin gió ( Technical Documentation Wind Turbine Generator Systems 5.3158 50 Hz )

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Attachments to this pdf can be found by clicking the paper clip icon ( ) commonly found on the left-hand side when using Adobe Acrobat

Technical Documentation

Wind Turbine Generator Systems 5.3-158 - 50 Hz

Calculated Power Curve and Thrust Coefficient

Normal Operation (NO)

Leading Edge Protection(LEP): Without

Hub Heights: At or above 120 m

Apparent Sound Power Level: 106 dB

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GE Renewable Energy - Original Document -

imagination at work

Power_Curve-NO_5.3-158-50Hz_106dB_Thrust665_Eng-Rev03_EN_r01

Visit us at

www.gerenewableenergy.com

Copyright and patent rights

All documents are copyrighted within the meaning of the Copyright Act We reserve all rights for the exercise of commercial patent rights

© 2019 General Electric Company All rights reserved

This document is public GE and the GE Monogram are trademarks and service marks of

General Electric Company

Other company or product names mentioned in this document may be trademarks or registered trademarks of their respective companies

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Table of Contents

Document Revision Table Error! Bookmark not defined.

1 Calculated Power Curves 5

2 Power Curves for different Air Densities and Turbulence Intensities 7

3 Applicability 13

4 Cut-Out and Re-Cut-In Wind Speeds 15

5 Calculated Thrust Coefficient 16

6 Guidelines for Pre-construction Energy Assessment 17

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1 Calculated Power Curves

Wind turbine type: 5.3-158 (106 dB normal operation apparent sound power level)1

The calculated power curves at an average air density of 1.225 kg/m3 are listed in Table 1 These power curves are consistent with the power curve definition in the IEC 61400-12-1 for hub height wind speed

Turbulence intensity (TI) ranges are defined in section 3 The method for selecting the appropriate turbulence intensity is provided in section 6

Wind Speed at Hub

Height [m/s]

Electrical Power [kW] with

C p,e Medium TI

1 The listed sound power level is for reference only For more information on sound power level as a function of hub height wind speed, please refer to the corresponding product acoustic specifications

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Wind Speed at Hub

Height [m/s]

Electrical Power [kW] with

C p,e Medium TI

Table 1: Calculated power curve table as a function of hub height wind speed for standard air density

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2 Power Curves for different Air Densities and Turbulence Intensities

Following tables show the calculated power curves for different air density values and turbulence intensity classes The Excel file embedded with this document contains power curves for a larger range of air densities than in the tables below

Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density density Air density Air density Air density Air density Air density Air density Air density Air density Air density Air

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

6.0 970 991 1012 1032 1053 1074 1094 1115 1135 1156 1182

6.5 1245 1271 1298 1324 1350 1376 1402 1429 1455 1481 1513

7.0 1565 1598 1630 1663 1695 1727 1759 1792 1824 1856 1896

7.5 1935 1975 2014 2054 2093 2131 2170 2208 2247 2285 2332

8.0 2352 2398 2444 2490 2536 2579 2622 2664 2707 2750 2801

8.5 2811 2861 2912 2962 3012 3055 3098 3140 3183 3226 3273

9.0 3289 3338 3388 3437 3487 3526 3565 3603 3642 3681 3721

9.5 3762 3806 3851 3895 3940 3973 4006 4039 4072 4105 4140

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

Table 2: Calculated power curve for different values of the air density for medium turbulence intensity

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Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

6.0 944 965 985 1005 1025 1045 1065 1086 1106 1126 1151

6.5 1216 1241 1267 1292 1318 1343 1369 1394 1420 1445 1477

7.0 1531 1563 1594 1626 1658 1690 1721 1753 1784 1816 1856

7.5 1895 1934 1973 2012 2051 2089 2128 2166 2205 2243 2291

8.0 2310 2357 2403 2450 2496 2541 2585 2630 2674 2719 2772

8.5 2773 2826 2878 2931 2983 3028 3073 3118 3163 3208 3258

9.0 3267 3319 3370 3422 3474 3514 3554 3593 3633 3673 3713

9.5 3753 3799 3844 3890 3935 3968 4001 4035 4068 4101 4135

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

Table 3: Calculated power curve for different values of the air density for low turbulence intensity

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Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

6.0 1045 1067 1089 1111 1133 1155 1177 1199 1221 1243 1270

6.5 1331 1358 1386 1413 1441 1468 1495 1523 1550 1577 1610

7.0 1662 1696 1730 1764 1798 1831 1865 1898 1932 1965 2006

7.5 2040 2079 2118 2157 2196 2233 2270 2307 2344 2381 2426

8.0 2454 2498 2542 2586 2630 2670 2709 2749 2788 2828 2874

8.5 2898 2944 2991 3037 3083 3121 3159 3198 3236 3274 3317

9.0 3341 3386 3430 3475 3520 3555 3591 3626 3662 3697 3734

9.5 3779 3820 3860 3901 3941 3972 4003 4035 4066 4097 4129

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Wind

Speed at

Hub Height

[m/s]

Electrical Power [kW]

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

Air density

ρ = 1.02 ρ = 1.04 ρ = 1.06 ρ = 1.08 ρ = 1.1 ρ = 1.12 ρ = 1.14 ρ = 1.16 ρ = 1.18 ρ = 1.2 ρ = 1.225 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3 kg/m 3

Table 4: Calculated power curve for different values of the air density for high turbulence intensity

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3 Applicability

The power curve information provided in this document applies under the following conditions:

 Hub heights at or above 120 m

 The mean air density falls inside the range of air densities specified in section 2, including the wider range of air densities in the embedded Excel spreadsheet

 The measured power curve data shall be density corrected to the nearest 0.01 kg/m³ of the

average test period air density The calculated power curve reference at the same nearest

0.01 kg/m³ density shall be used either directly from the reference power curve tables provided here or interpolated linearly between the provided densities If the measured average air density during a power performance test falls out of the range of provided densities, data shall be density-corrected to the nearest density provided in Table 2 through 4 (including the embedded files) by employing air density correction specified by the IEC standard 61400-12-1

 The site is characterized by one of the following turbulence intensity categories

Low 2.5 (0.75Vhub + 5.6)/Vhub 12.5 (0.75Vhub + 5.6)/Vhub Medium 5 (0.75Vhub + 5.6)/Vhub 15 (0.75Vhub + 5.6)/Vhub High 10 (0.75Vhub + 5.6)/Vhub 20 (0.75Vhub + 5.6)/Vhub

Measured power curve data points for 10-minute average mean turbulence intensities that fall outside the applicable TI band would be filtered out for the purpose of power curve applicability, see Figure 1

The reference power curve is to be selected from the power curves of the TI class having the

largest number of post-filtering data points (upmost coverage) Section 6 of this document gives

an example outlining how to determine the TI class with the upmost coverage The reference power curve is referred to as the calculated power curve in GE’s Technical Documentation

Machine Power Performance Test This document also outlines the data filtering requirements, which have to be met prior to determining the TI class

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Figure 1: Applicable Turbulence Intensity Range

0 10 20 30 40 50

HH wind speed [m/s]

Low TI Band

TImax= 12.5*(0.75*vhub+5.6)/vhub [%]

0 10 20 30 40 50

HH wind speed [m/s]

Medium TI Band

TImax= 15*(0.75*vhub+5.6)/vhub [%]

TImin= 5*(0.75*vhub+5.6)/vhub [%]

0 10 20 30 40 50

HH wind speed [m/s]

High TI Band

TImax= 20*(0.75*vhub+5.6)/vhub [%]

TImin= 10*(0.75*vhub+5.6)/vhub [%]

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 Non-degraded and uncontaminated blade surfaces with no icing

 Power shall be measured on the generator side of the transformer unless the net electric power output is referenced otherwise in this document

 Wind-speed labels are mid-bin values; for example, the 5.0 m/s bin extends from 4.75 to 5.25 m/s

 Measured wind shear (10-minute average data) such that -0.1 <= shear <= 0.5

 The wind turbine generator system whose power output is not being actively regulated or

curtailed for any reason

 Information on the cold or hot weather and high altitude operation capabilities for specific

operation modes is provided in the documents “Technical Description – Cold Weather

Adaptations” and "General Description High Temperature, High Altitude Operation"

 Information on the reactive power capabilities for specific operation modes is provided in the ‘Grid Interconnection Document

4 Cut-Out and Re-Cut-In Wind Speeds

The wind turbine generator system will shut down when the average wind speed exceeds

 25 m/s average in a 600-second time interval,

 30 m/s average in a 30-second time interval, or

 34 m/s average in a 3-second time interval

After the turbine has been shut-down, it will restart when the 4-minute rolling average wind speed drops below 22 m/s

A site-specific Mechanical Loads Analysis (MLA) is required to determine the turbine suitability and whether the above-listed cut-out and re-cut-in wind speeds require adjustment to mitigate site-specific loads If, for

example, the MLA concludes that curtailment is needed to reduce loads, the MLA report will state the reduced 600-second cut-out wind speeds and the applicable wind direction sector(s) The remaining cut-out and

re-cut-in wre-cut-ind speeds will be reduced by the same amount that the 600-second wre-cut-ind speed is reduced Any reduction

of the wind speeds listed in this section may be turbine location-specific Refer to the site-specific MLA report for details

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

5 Calculated Thrust Coefficient

Wind Speed at

Hub Height [m/s]

Thrust Coefficient [ct]

Wind Speed at Hub Height [m/s]

Thrust Coefficient [ct]

Table 5: Calculated thrust coefficient table; as a function of hub height wind speed

Calculated using Standard Atmospheric Conditions according to ISO 2533 for geometric altitude of 0

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6 Guidelines for Pre-construction Energy Assessment

The following guidelines are offered for selecting power curves from this document for measurement purposes

or assessment of the energy production of a new wind plant

The air density should be the annual average air density expected at the site of the new wind plant over the life

of the wind turbine

The reference power curve for warranty purposes shall be chosen for the turbulence intensity range covering the largest fraction of data points from the measured data set of the power curve test Figure 2 depicts one example to illustrate this guideline The mean turbulence intensity distribution for the site is plotted over the low, medium, and high turbulence intensity ranges As shown in Figure 2, the site has a mean turbulence

intensity distribution that is most common to the low turbulence intensity range Accordingly, the low

turbulence PCs from Table 3 should be used for this example site

For site energy assessment purposes the turbulence intensity range between low, medium, and high may also

be selected based on comparing the measured 10 min averaged scatter plot in each wind speed bin expected individually to represent the conditions at the site of the new wind plant over the life of the wind turbine

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GE Renewable Energy - Original Document - Calculated Power Curve

and Thrust Coefficient

PUBLIC – May be distributed external to GE on an as need basis

UNCONTROLLED when printed or transmitted electronically

© 2019 General Electric Company and/or its affiliates All rights reserved

Figure 2: Example of site specific turbulence distribution with mean turbulence data and standard deviation relative to high TI (9%), medium TI (71%) and low TI (98%) band (figures in parenthesis represent the coverage rate)

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