The intent of this homework is to determine the optimal Economic-Environmental Dispatch using the penalty cost associated with greenhouse gas emission of thermal units. The power system contains one wind farm, one PV plant, and two thermal plants. The day-ahead energy to be dispatched by the four units is 1876 kWh. Wind Farm: 100 turbines from the manufacturer of Whisper and the model of H900 (0.9/2.13) meaning that the rated power of each wind turbine's generator is 0.9 kW and blade diameter of each H900 is 2.13 m. The wind farm array efficiency is 95%. The day-ahead wind speed prediction is 6 m/s at the hub height. The determined kWh should be reduced by the Wind Energy Uncertainty factor of 1.1067. PV Plant: 1000 PV modules from the manufacturer of BP and the model of 2150S. Each module has the dc rated power of 150 W. Assume the dc to dc conversion efficiency of 75%. The day-ahead solar radiation prediction is 6.8 h/day @ 1-sun. The determined kWh should be reduced by the Solar Energy Uncertainty factor of 1.0928. Thermal Unit 1: H₁ = 300+4P₁ +0.02P² Fuel Cost: 0.33 $/lb kBtu/h 5≤ P ≤100 Heat Content: 11,500 Btu/lb 1% of the fuel by weight will be fly ash Thermal Unit 2: H₁ = 500 + 3P2 +0.03P kBtu/h Fuel Cost: 0.5 $/lb 1% of the fuel by weight will be fly ash Precipitator has the efficiency of 85% in removing fly ash 5≤P ≤100 Heat Content: 12,000 Btu/lb Precipitator has the efficiency of 95% in removing fly ash In dispatching the thermal units, consider the penalty cost of $100 per one lb of fly ash emission to the environment. Please make sure to show your entire work. Do not skip any steps. Also, after the last step, please report the calculated day- ahead dispatched energy related to the Wind Farm, PV Plant, Thermal Unit 1, and Thermal Unit 2.