ECE488 Homework
Welcome! Notes for Spring 2022 Electronic Machines & Transformers course. Will make this more pretty as things evolve.
My goal is to make Electronic Circuits so easily digestible, you could teach a middle schooler. We'll see if this works.
Homework 1
Average hourly load data for Southwest Power Pool (SPP) on April 8 is given in this document.
- Calculate the total energy supplied by SPP on this date.
- Calculate the peak load for SPP on this date.
- Why is the peak load significantly lower than in the class example (posted above)?
The numbers have been extrapolated from the
Average hourly load data for Southwest Power Pool (SPP) on April 8:
26739 || 27247 || 28610 || 28654 || 28039 || 27333 26849 || 26637 || 26505 || 26512 || 26652 || 27157 27950 || 28499 || 29186 || 29395 || 29096 || 28768 28376 || 28005 || 27617 || 27528 || 27642 || 27831Breakdown
- 1. In finding the total energy supplied by SPP on April 8, simply take the below listed values and multiply them by 1 hour, and then sum them together. The total energy supplied by SPP on this date is 666827 MWh.
- 2. The peak load listed on the chart is 29395 MW listed at hour 15 or so.
- 3. Peak load for the SPP is significantly lower in April 8 as opposed to August 8 example because it is typically colder during the April month throughout the region. It is known that heating/cooling is an electrically expensive process, and most midwestern homes are heated using natural gas burners (https://www.ncdc.noaa.gov/temp-and-precip/us-maps/1/202004#us-maps-select).
Homework 2 - Eduardo Santillan
Assume the total electric generation for a region in 2025 will be 11,000 GWh/day. Hydroelectric generation will provide 1,000 GWh/day. Nuclear will provide 2,000 GWh/day. Use the costs of generation for generators that start service in 2025 (table of data is below), calculate the total daily cost to generate if the rest of the energy is provided by:
a. 50% onshore wind, 50% solar PV || b. 50% ultra-supercritical coal, 50% combined cycle || c. 25% onshore wind, 25% solar PV, 25% ultra-supercritical coal, 25% combined cycle
Total System Levelized Cost of Energy (2019 $/MWh)
- Solar photovoltaic 35.74
- Geothermal 37.47
- Combined cycle 38.07
- Wind, onshore 39.95
- Hydroelectric 52.79
- Combustion turbine 66.62
- Ultra-supercritical coal 76.44
- Advanced nuclear 81.65
- Biomass 94.83
- Wind, offshore 122.25
Breakdown
We know that the total electric generation for a region in 2025 will be 11,000 GWh/day, and Hydroelectric/Nuclear will always provide a set amount (1,000/2,000 GWh/day respectively).
This means we only need to split the remaining sources evenly factoring the guaranteed sources. Also convert GWh to MWh for consistency of calculations.
a. 50% onshore wind, 50% solar PV
- Hydroelectric: 1000 GWh x $52.79/MWh = $52790000
- Nuclear: 2000 GWh x $81.65/MWh = $163300000
- Onshore Wind: 4000 GWh x $39.95/MWh = $159800000
- Solar PV: 4000 GWh x $35.74/MWh = $142960000
- Total cost per day: $518,850,000
b. 50% ultra-supercritical coal, 50% combined cycle
- Hydroelectric: 1000 GWh x $52.79/MWh = $52790000
- Nuclear: 2000 GWh x $81.65/MWh = $163300000
- Ultra-supercritical Coal: 4000 GWh x $76.44/MWh = $305760000
- Combined Cycle: 4000 GWh x $38.07/MWh = $152280000
- Total cost per day: $674,130,000
c. 25% onshore wind, 25% solar PV, 25% ultra-supercritical coal, 25% combined cycle
- Hydroelectric: 1000 GWh x $52.79/MWh = $52790000
- Nuclear: 2000 GWh x $81.65/MWh = $163300000
- Onshore Wind: 2000 GWh x $39.95/MWh = $79900000
- Solar PV: 2000 GWh x $35.74/MWh = $71480000
- Ultra-supercritical Coal: 2000 GWh x $76.44/MWh = $152880000
- Combined Cycle: 2000 GWh x $38.07/MWh = $76140000
- Total cost per day: $596,490,000