Wind turbine capital investment analysis Central Plains Power Company is considering an investment in wind farm technology to reduce natural gas use. Initial installation costs are expected to be $1,200 per kilowatt-hour of capacity. The wind turbine has a capacity of generating 2 megawatts per hour. A kilowatt-hour is 1,000 watts generated per hour, and a megawatt hour is 1,000 kilowatts generated per hour. Annual operating information related to the wind turbine project was developed as follows: Wind capacity factor 25 %* Operating cost per wind turbine megawatt-hour $10 Variable operating, fuel, and maintenance costs per natural gas megawatt-hour $95 Days per year 365 *A factor that measures the reduction from full capacity due to the variability of wind a. Determine the initial investment cost of the wind turbine. b. Determine the annual cost savings from the wind turbine in replacing natural gas generation. Round to nearest whole dollar. c. Determine the net present value of the project assuming a 15-year life and 12% minimum rate of return. (Use the present value tables in Appendix A.)
Wind turbine capital investment analysis
Central Plains Power Company is considering an investment in wind farm technology to reduce natural gas use. Initial installation costs are expected to be $1,200 per kilowatt-hour of capacity. The wind turbine has a capacity of generating 2 megawatts per hour. A kilowatt-hour is 1,000 watts generated per hour, and a megawatt hour is 1,000 kilowatts generated per hour.
Annual operating information related to the wind turbine project was developed as follows:
Wind capacity factor | 25 | %* | |
Operating cost per wind turbine megawatt-hour | $10 | ||
Variable operating, fuel, and maintenance costs per natural gas megawatt-hour | $95 | ||
Days per year | 365 |
*A factor that measures the reduction from full capacity due to the variability of wind
a. Determine the initial investment cost of the wind turbine.
b. Determine the annual cost savings from the wind turbine in replacing natural gas generation. Round to nearest whole dollar.
c. Determine the
![Present Value of Ordinary Annulty of $1 per Perlod
Present Value of Ordinary Annulty of $1 per Perlod
Periods
4.0%
4.5%
5%
5.5%
6%
6.5%
7%
Periods
8%
9%
10%
11%
12%
13%
14%
1
0.96154
0.95694
0.95238
0.94787
0.94340
0.93897
0.93458
1
0.92593
0.91743
0.90909
0.90090
0.89286
0.88496
0.87719
1.85941
2.72325
2
1.88609
1.87267
1.84632
1.83339
1.82063
1.80802
2
1.78326
1.75911
1.73554
1.71252
1.69005
1.66810
1.64666
2.77509
3.62990
2.74896
3.58753
2.57710
3.31213
3.99271
2.32163
2.91371
3.43308
3
2.69793
2.67301
2.64848
2.62432
3
2.53129
2.48685
2.44371
2.40183
2.36115
4
3.54595
3.50515
3.46511
342580
3.38721
4
3.23972
3.16987
3.10245
3.03735
2.97447
5
4.45182
4.38998
4.32948
4.27028
4.21236
4.15568
4.10020
5
3.88965
3.79079
3.69590
3.60478
3.51723
6
5.24214
5.15787
5.07569
4.99553
4.91732
4.84101
4.76654
4.62288
4.48592
4.35526
4.23054
4.11141
3.99755
3.88867
7
6.00205
5.89270
5.78637
5.68297
5.58238
5.48452
5.38929
7
5.20637
5.03295
4.86842
4.71220
4.56376
4.42261
4.28830
6.73274
6.59589
6.46321
6.33457
6.20979
6.08875
5.97130
8
5.74664
5.53482
5.33493
5.14612
4.96764
4.79677
4.63886
7.43533
7.26879
7.10782
6.95220
6.80169
6.65610
6.51523
9
6.24689
5.99525
5.75902
5.53705
5.32825
5.13166
4.94637
10
8.11090
7.91272
7.72173
7.53763
7.36009
7.18883
7.02358
10
6.71008
6.41766
6.14457
5.88923
5.65022
5.42624
5.21612
8.09254
8.61852
9.11708
5.93770
6.19437
5.45273
5.66029
11
8.76048
8.52892
8.30641
7.88687
7.68904
7.49867
11
7.13896
6.80519
6.49506
6.20652
5.68694
8.86325
9.39357
7.94269
8.35765
9.11858
9.68285
10.22283
10.73955
12
9.38507
8.38384
8.15873
12
7.53608
7.16073
6.81369
6.49236
5.91765
7.90378
8.22424
6.42355
6.62817
6.12181
6.30249
6.46238
13
9.98565
8.85268
8.59974
13
7.48690
7.10336
6.74987
5.84236
10.56312
11.11839
8.74547
9.10791
14
9.89864
9.58965
9.29498
9.01384
14
7.78615
7.36669
6.96187
6.00207
15
10.37966
10.03758
9.71225
9.40267
15
8.55948
8.06069
7.60608
7.19087
6.81086
6.14217
11.65230
12.16567
11.23402
11.70719
9.44665
9.76322
10.05909
10.33560
16
10.83777
10.46216
10.10590
9.76776
16
8.85137
8.31256
7.82371
7.37916
6.97399
6.60388
6.26506
17
11.27407
10.86461
10.47726
10.11058
17
9.12164
8.54363
8.02155
7.54879
7.11963
6.72909
6.37286
11.24607
11.60765
18
12.65930
12.15999
11.68959
10.82760
10.43247
18
9.37189
8.75563
8.20141
7.70162
7.24967
6.83991
6.46742
19
13.13394
12.59329
12.08532
11.15812
10.73471
19
9.60360
8.95011
8.36492
7.83929
7.36578
6.93797
6.55037
20
13.59033
13.00794
12.46221
11.95038
11.46992
11.01851
10.59401
20
9.81815
9.12855
8.51356
7.96333
7.46944
7.02475
6.62313
21
14.02916
13.40472
12.82115
12.27524
11.76408
11.28498
10.83553
21
10.01680
9.29224
8.64869
8.07507
7.56200
7.10155
6.68696
22
14.45112
13.78442
13.16300
12.58317
12.04158
11.53520
11.06124
22
10.20074
9.44243
8.77154
8.17574
7.64465
7.16951
6.74294
23
14.85684
14.14777
13.48857
12.87504
12.30338
11.77014
11.27219
23
10.37106
9.58021
8.88322
8.26643
7.71843
7,22966
6.79206
15.24696
15.62208
14.49548
14.82821
13.79864
14.09394
13.15170
13.41393
11.99074
12.19788
11.46933
11.65358
24
12.55036
24
10.52876
9.70661
8.98474
8.34814
7.78432
7.28288
6.83514
25
12.78336
25
10.67478
9.82258
9.07704
8.42174
7.84314
7.32998
6.87293
26
15.98277
15.14661
14.37519
13.66250
13.00317
12.39237
11.82578
26
10.80998
9.92897
9.16095
8.48806
7.89566
7.37167
6.90608
10.93516
11.05108
27
16.32959
15.45130
14.64303
13.89810
13.21053
12.57500
11.98671
27
10.02658
9.23722
8.54780
7.94255
7.40856
6.93515
14.12142
14.33310
14.53375
28
16.66306
15.74287
14.89813
13.40616
12.74648
12.13711
28
10.11613
9.30657
8.60162
7.98442
7.44120
6.96066
29
16.98371
16.02189
15.14107
13.59072
12.90749
12.27767
29
11.15841
10.19828
9.36961
8.65011
8.02181
7.47009
6.98304
30
17.29203
16.28889
15.37245
13.76483
13.05868
12.40904
30
11.25778
10.27365
9.42691
8.055 18
8.69379
7.49565
7.00266
16.54439
16.78889
17.02286
14.72393
14.90420
13.20063
13.33393
1345909
13.57661
13.68696
12.53181
12.64656
17.58849
13.92909
14.08404
14.23023
14.36814
7.51828
7.53830
7.55602
31
15.59281
31
11.34980
10.34280
9.47901
8.73315
8.08499
7.01988
15.80268
16.00255
32
17.87355
32
11.43500
10.40624
9.52638
8.76860
8.11159
7.03498
18.14765
18.41120
18.66461
12.75379
12.85401
10.46444
10.51784
33
15.07507
33
11.51389
9.56043
8.80054
8.13535
7.04823
15.23703
15.39055
8.15656
8.17550
34
17.24676
16.19290
34
11.58693
9.60857
8.82932
7.57170
7.05985
35
17.46101
16.37419
14.49825
12.94767
35
11.65457
10.56682
9.64416
8.85524
7.58557
7.07005
40
19.79277
18.40158
17.15909
16.04612
15.04630
14.14553
13.33171
40
11.92461
10.75736
9.77905
8.95105
8.24378
7.63438
7.10504
45
20.72004
19.15635
17.77407
16.54773
15.45583
14.48023
13.60552
45
12.10840
10.88120
9.86281
9.00791
8.28252
7.66086
7.12322
50
21.48218
19.76201
18.25593
16.93152
15.76186
14.72452
13.80075
50
12.23348
10.96168
9.91481
9.04165
8.30450
7.67524
7.13266](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F730d1c66-8213-41f6-8e2d-c17045ff70f0%2F66735eef-d5f9-4889-96d6-3da53b265ff4%2Fiau0dcd_processed.jpeg&w=3840&q=75)
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