In California in 2001, the wholesale price of natural gas jumped from about $4 per thousand cubic feet to $11 . The former price translates into a cost of $0.04 per kWh for the utility, while the latter translates into $0.11 per kWh
California utilities can only charge around $0.08 per kWh. Given this price and assuming the other costs are the same as those in 1991, determine about where the fossil-fuel steam generation will be the same in cost as gas.
fossil-fuel steam generation costs about $180/kW and
$0.0223/kWh and a turbine's capital cost is $28/kW. Let the time at which the costs are the
same be called T. Then we equate the costs of fossil-fuel steam generation and turbine
generation for the time T:
$180/kW + $0.0223/kWh x T = $28/kW + $0.11/kWh x T.
This is solved by gathering terms, and so
$180/kW - $28/kW = $0.11/kWh x T - $0.0223/kWh x T.
or, $152/kW = $0.0877/kWh x T, or
T = $152/kW/($0.0877/kWh) = 1732 h.
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