4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P)...

    

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4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P+0.0025P² (MJ/h) This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Assuming that this unit is optimally dispatched, is initially on-line, and cannot be shut down, calculate its operational profit or loss for this period. 4.3 Repeat the calculation of Problem 4.2 assuming that the cost curve is replaced by a three-segment piecewise linear approximation whose values correspond with those given by the quadratic function for 200, 300, 400, and 500 MW. The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P +0.0025P² (MJ/h) hadgo lembu This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Table 4.15 Data for Problem 4.2. Period Price ($/MWh) 1 12.5 2 10 3 13 4 13.5 5 15 11 4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P+0.0025P² (MJ/h) This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Assuming that this unit is optimally dispatched, is initially on-line, and cannot be shut down, calculate its operational profit or loss for this period. 4.3 Repeat the calculation of Problem 4.2 assuming that the cost curve is replaced by a three-segment piecewise linear approximation whose values correspond with those given by the quadratic function for 200, 300, 400, and 500 MW. The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P +0.0025P² (MJ/h) hadgo lembu This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Table 4.15 Data for Problem 4.2. Period Price ($/MWh) 1 12.5 2 10 3 13 4 13.5 5 15 11 4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P+0.0025P² (MJ/h) This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Assuming that this unit is optimally dispatched, is initially on-line, and cannot be shut down, calculate its operational profit or loss for this period. 4.3 Repeat the calculation of Problem 4.2 assuming that the cost curve is replaced by a three-segment piecewise linear approximation whose values correspond with those given by the quadratic function for 200, 300, 400, and 500 MW. The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P +0.0025P² (MJ/h) hadgo lembu This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Table 4.15 Data for Problem 4.2. Period Price ($/MWh) 1 12.5 2 10 3 13 4 13.5 5 15 11 4.2 The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P+0.0025P² (MJ/h) This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Assuming that this unit is optimally dispatched, is initially on-line, and cannot be shut down, calculate its operational profit or loss for this period. 4.3 Repeat the calculation of Problem 4.2 assuming that the cost curve is replaced by a three-segment piecewise linear approximation whose values correspond with those given by the quadratic function for 200, 300, 400, and 500 MW. The input-output curve of a gas-fired generating unit is approximated by the following function: H(P) = 120 +9.3P +0.0025P² (MJ/h) hadgo lembu This unit has a minimum stable generation of 200 MW and a maximum output of 500 MW. The cost of gas is 1.20 $/MJ. Over a 6-h period, the output of this unit is sold on a market for electrical energy at the prices shown in Table 4.15. Table 4.15 Data for Problem 4.2. Period Price ($/MWh) 1 12.5 2 10 3 13 4 13.5 5 15 11