QUESTION 3 [20 Marks] a) A solar photovoltaic (PV) farm is connected to a transmission network by using a 100 km a three

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Question 3 20 Marks A A Solar Photovoltaic Pv Farm Is Connected To A Transmission Network By Using A 100 Km A Three 1 (117.41 KiB) Viewed 19 times

QUESTION 3 [20 Marks] a) A solar photovoltaic (PV) farm is connected to a transmission network by using a 100 km a three-phase, balanced, wye-connected transmission line. The line is rated at 115 kV (line- neutral) with r = 0.1 0/km and x = 0.3 0/km. The voltage at the PV farm- end of the line is controlled to be anywhere between +10% and -6% of the nominal voltage while the transmission network-end is maintained at 1 pu. How much reactive power should the loads in the main transmission network draw in order to receive maximum real power from the PV farm, if the voltage phase angle difference between the line ends is maintained at 1809 [3 Marks] b) Draw the receiving-end power circle diagram for question 3(a). Clearly indicate the following on the diagram. [4 Marks] line impedance angle o, voltage phase angle difference 8, receiving-end real power (in kW), receiving-end reactive power (in kVar), receiving-end apparent power (in kVA). radius and its length (in kVA), and centre and the length (in kVA) from the coordinate plane origin to the centre of the circle. c) Two buses with generators and loads are connected via a three-phase, balanced transmission line as shown in Figure 5. The power system operator needs to maintain a constant voltage profile at both ends of the line such that |V₂| = |V₂| = 1 pu. Furthermore, the operator needs to maintain equal real power loads at the two buses by adjusting the power flow across the line. The total demands at the two buses are S₁₁ = (30+20j) pu and S₁₂ = (40 + 15j) pu. Additionally, the generator at bus 1, T₁, can produce 35 pu real power at maximum. Provide an estimate for the voltage phase angle difference 8 = 0₁-0₂, and power factors of the two buses, when the line impedance (Z = 0+ 0.1j) pu. [6 Marks] d) What would be the voltage phase angle difference 8, and power factors of the two buses for question 3(c) if the line impedance Z = (0.008 +0.1j) pu? [7 Marks] Bus 2 Bus 1 T₂ T₁ SR STY Z=R+jX $0 V/₂= √₂/0₂ Figure 5: Transmission line diagram SS V₁-V₁20₁. SLA Sta