WIND ENERGY SYSTEMS - Cd3wd
WIND ENERGY SYSTEMS - Cd3wd WIND ENERGY SYSTEMS - Cd3wd
Chapter 8—Economics 8–19 Plant cost, C kW $900/kW Levelized fixed charge rate, r f 0.18 Levelized capacity factor 0.68 Fuel cost $0.95/10 6 Btu Heat rate 10,000 Btu/kWh Fixed OM costs (year 0) $3.00/kW/year Variable OM costs (year 0) 1.10 mills/kWh Inflation 0.06/year Cost of capital 0.10 Startup date End-of-year 1978 Plant Life 30 years 1. Find the levelized annual fixed costs per kWh. 2. Find the levelized annual variable costs per kWh. 3. Find the present worth of the fuel per kW of plant rating. 4. Find the levelized annual busbar cost of electricity. The fixed cost per kW of rating is just The energy produced per year per kW of rating is L f = C kW r f = 900(0.18) = $162.00/kW The levelized fixed cost per kWh is then W = (8760)(0.68) = 5957 kWh L ′ f = L f W = 162 =$0.0272/kWh = 27.2 mills/kWh 5957 The fuel cost in Year 0 dollars is C fuel =($0.95/10 6 Btu)(0.01 × 10 6 Btu/kWh) = 9.5 mills/kWh The levelizing factor is, from Eq. 18, The levelized annual fuel cost is ( ) 30 1.06 1.10 − 1 0.1(1.1) 30 LF = (1.06) 0.06 − 0.1 (1.1) 30 − 1 =1.886 Expressed in mills per kWh, this is L fuel =(0.0095)(5957)(1.886) = $106.73/kW/yr Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001
Chapter 8—Economics 8–20 L ′ fuel =(9.5)(1.886) = 17.92 mills/kWh The present value of the fuel consumed for each kW of rating is, from Eq. 17, The OM costs are P v = 106.73 0.1(1.1) 30 (1.1) 30 − 1 = $1006.13/kW L ′ fom = $3.00 (1.886) = 0.95 mill/kWh 5957 The total levelized cost per kWh is then L ′ vom =(1.10)(1.886) = 2.07 mills/kWh L ′ =27.2+17.92 + 0.95 + 2.07 = 48.14 mills/kWh The present worth of the coal is actually greater than the present worth of the plant. However, the revenue requirements necessary for the coal are less than for the plant because expenses such as profit and taxes are not allocated to the fuel. 4 VALUE OF WIND GENERATED ELECTRICITY We have shown that wind generated electricity has value both from capacity displacement of conventional generation and from saving fuel. A capacity credit can only be given if the construction of the wind turbine actually prevented some conventional generation from being built. The fuel savings mode can always be applied, even when conventional generation is not affected. Utility companies are faced with many options when planning new generation. Two of the more common options would be to use wind generation to displace new coal generation or to save oil at existing oil fired units. New oil fired units are not being built because of fuel costs, so wind generation cannot displace these. If wind generation is displacing coal generation, then it cannot save oil at the same time. Both options need to be examined by the utility. We shall now illustrate the use of the various economic tools which have been developed by two lengthy examples. We basically want to know if wind generation is economically competitive with either new coal construction or existing oil generation. Example Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001
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Chapter 8—Economics 8–20<br />
L ′ fuel =(9.5)(1.886) = 17.92 mills/kWh<br />
The present value of the fuel consumed for each kW of rating is, from Eq. 17,<br />
The OM costs are<br />
P v = 106.73<br />
0.1(1.1) 30<br />
(1.1) 30 − 1<br />
= $1006.13/kW<br />
L ′ fom = $3.00 (1.886) = 0.95 mill/kWh<br />
5957<br />
The total levelized cost per kWh is then<br />
L ′ vom =(1.10)(1.886) = 2.07 mills/kWh<br />
L ′ =27.2+17.92 + 0.95 + 2.07 = 48.14 mills/kWh<br />
The present worth of the coal is actually greater than the present worth of the plant. However,<br />
the revenue requirements necessary for the coal are less than for the plant because expenses such as<br />
profit and taxes are not allocated to the fuel.<br />
4 VALUE OF <strong>WIND</strong> GENERATED ELECTRICITY<br />
We have shown that wind generated electricity has value both from capacity displacement<br />
of conventional generation and from saving fuel. A capacity credit can only be given if the<br />
construction of the wind turbine actually prevented some conventional generation from being<br />
built. The fuel savings mode can always be applied, even when conventional generation is not<br />
affected.<br />
Utility companies are faced with many options when planning new generation. Two of the<br />
more common options would be to use wind generation to displace new coal generation or to<br />
save oil at existing oil fired units. New oil fired units are not being built because of fuel costs,<br />
so wind generation cannot displace these. If wind generation is displacing coal generation,<br />
then it cannot save oil at the same time. Both options need to be examined by the utility.<br />
We shall now illustrate the use of the various economic tools which have been developed<br />
by two lengthy examples. We basically want to know if wind generation is economically<br />
competitive with either new coal construction or existing oil generation.<br />
Example<br />
Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001