University of Michigan
Department of Electrical Engineering and Computer Science
EECS 463 – Power System Design and Operation Fall 2020
Project #2
Distributed: Monday, October 26, 2020
Due: Tuesday, December 8, 2020 (Midnight Ann Arbor time.)
Figure 1 shows the location of three generators and four load buses. The figure is drawn to scale. The aim of this exercise is to design an electrical system where the four loads are supplied by the three generators over an ‘optimal’ transmission network.
The loads are: Load bus 4: Load bus 5: Load bus 6: Load bus 7:
10 MW, 5 MVAr 40 MW, 20 MVAr 20 MW, 10 MVAr 30 MW, 15 MVAr
All generators are capable of producing between 20 MW and 40 MW of active power, and between −5 MVAr and 20 MVAr of reactive power. Their terminal voltages can be set between 1.00 pu and 1.07 pu.
Use a per unit system base of 100 MVA, 132 kV.
All transmission lines are to use the same conductor, with parameters:
R = 0.05pu/100km, X = 0.20pu/100km, B = 0.04pu/100km.
Shunt capacitors and reactors may be installed. Use a unit size of 10 MVAr in both cases. Assume
a shunt device costs the same as 10 km of line.
Do not use any transformers or SVCs in the network.
The transmission network should be designed to minimize the length of line and the number of shunt capacitors/reactors. However the design must ensure that all bus voltages lie in the range 0.95 pu to 1.07 pu, both for the intact system and for the system with any one line or shunt out of service.1 Your report should discuss the consequences of coincident outages, i.e., outages of multiple lines and/or shunts at the same time.
In designing the system, you should also aim to minimize losses. The overriding consideration is, however, to minimize the construction of lines and shunts.
Use PowerWorld to do your design.
You should submit a report that provides the following:
• Your design. Justify your conclusion that it is optimal.
• Justify any assumptions and planning decisions that you make in arriving at your final design.
This is very important. (For this exercise, the process is as important as the outcome.) • A discussion of coincident outages, as mentioned above.
1Contingencies may cause the reactive power output of generators to deviate beyond capability limits. In such situations, it is acceptable to respond by switching capacitors and reactors, and adjusting generator voltage setpoints.
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Figure 1: Geographical arrangement of generator and load buses. (Scale: 1cm ≡ 20km.)
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