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Macro-Hydropower. A dam has a height of 220 meters. Total generating capacity for the power plant at...

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Electrical Engineering

Macro-Hydropower. Adam has a height of 220 meters. Total generating capacity for thepower plant at the dam is about 1 GW (1 million kW). Assume aneffective head of 215 meters and generating efficiency of 90%.

  1. At maximum capacity, what flow is required through the dam’sturbines to generate its power?
  2. If the dam operates at 60% of capacity on average, how muchenergy does it produce in a year? Express your answer in watts(e.g., W, kW, MW, GW, etc.).
  3. How many people should this energy support, assuming averagecommunity consumption of 1000 kWh per year per person?
  4. How much coal would be required in a coal-burning power plantto generate the equivalent amount of energy as the Dam generates ina year? Assume that the dam generates 5 billion kWh hours(5×109 kWh or 5 terra-watt hours) of energy annually.How many coal cars would be required to carry this coal? How longwould a train of these cars be?
    • The energy content of coal is 8,142 kWh/ton
    • The energy efficiency of a typical coal-burning power plant isabout 38%
    • A railroad coal car carries about 100 tons of coal and is about22.86 m in length

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