Power Systems Analysis Assignment
Q1. For the following radial system, assuming that the complex power consumed by the load is 1 + j0:5 pu, z = j0.2 pu. Find V2 and θ2.
Q2. A five-bus system is shown in Fig. 2. Its admittance matrix in per unit values Y is given. Please fill in the blanks in the following table. An example is shown for Bus 1. Identify the unknown voltage phasors and setup power injection equations in terms of these voltage phasors.
Table 1: Input data and unknowns
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Bus
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Known (Power Injection and/or Voltage)
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Unknowns (Power Injection and/or Voltage)
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1
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V1 = 1.0, θ1 = 0
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P1, Q1
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2
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3
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4
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5
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3. Choose one of the methods: Newton-Raphson method or fast decouple method to solve the power flow problem. Please copy paste your codes in your HW report. Put a box for the iteration procedure.
Q4. Please present the following:
- Plot the error versus iteration (use semilogy function).
- Present a table of voltage phasors at each bus.
- Compute the total power loss in the system.
Q5. Please adjust the generator dispatch pattern and re-compute the system power loss. Show that the power loss can be reduced. Present a table to compare the original case and your constructed case in terms of generator dispatch pattern and power loss.
Table 2: Case study comparison
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case1
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case2
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PG1
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PG2
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PG3
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PG4
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PG5
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Ploss
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Attachment:- Assignment.rar