A power retailer serves a group of customers and conducts load forecasting for hourly energy consumption. It purchases power based on the forecasting results. Any discrepancies between forecasted and actual loads will be balanced in spot market. Table 1 shows the forecasts and the average purchasing costs for a 3-hour period. Table 2 shows the actual loads and market prices for the three hours. The flat rate for the customers is 35 $/MWh. 1) Calculate the profit/loss that this retailer makes in this period. 2) Note that hour 3 forecast is an overestimate of the actual load. What if the forecasting result for hour 3 is 200MW which under-estimates the actual load? Compare the profit in two cases and explain your finding. Table 1: Load forecasts and purchase costs Hour 1 Hour 2 Hour 3 Forecast (MW) 150 200 250 Average Cost ($/MWh) 20 22 24 Table 2: Actual loads and market prices Hour 1 Hour 2 Hour 3 Actual Load (MW) Market Price ($/MWh) 132 215 227 10 12 40

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A power retailer serves a group of customers and conducts load forecasting for hourly energy
consumption. It purchases power based on the forecasting results. Any discrepancies between
forecasted and actual loads will be balanced in spot market. Table 1 shows the forecasts and the
average purchasing costs for a 3-hour period. Table 2 shows the actual loads and market prices for the
three hours. The flat rate for the customers is 35 $/MWh.
1) Calculate the profit/loss that this retailer makes in this period.
2) Note that hour 3 forecast is an overestimate of the actual load. What if the forecasting result for
hour 3 is 200MW which under-estimates the actual load? Compare the profit in two cases and
explain your finding.
Table 1: Load forecasts and purchase costs
Hour 1
Hour 2
Hour 3
Forecast (MW)
150
200
250
Average Cost ($/MWh)
22
24
Table 2: Actual loads and market prices
Hour 1
Hour 2
Hour 3
Actual Load (MW)
Market Price ($/MWh)
132
215
227
10
12
40
Transcribed Image Text:A power retailer serves a group of customers and conducts load forecasting for hourly energy consumption. It purchases power based on the forecasting results. Any discrepancies between forecasted and actual loads will be balanced in spot market. Table 1 shows the forecasts and the average purchasing costs for a 3-hour period. Table 2 shows the actual loads and market prices for the three hours. The flat rate for the customers is 35 $/MWh. 1) Calculate the profit/loss that this retailer makes in this period. 2) Note that hour 3 forecast is an overestimate of the actual load. What if the forecasting result for hour 3 is 200MW which under-estimates the actual load? Compare the profit in two cases and explain your finding. Table 1: Load forecasts and purchase costs Hour 1 Hour 2 Hour 3 Forecast (MW) 150 200 250 Average Cost ($/MWh) 22 24 Table 2: Actual loads and market prices Hour 1 Hour 2 Hour 3 Actual Load (MW) Market Price ($/MWh) 132 215 227 10 12 40
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