QUESTION 4 [20 Marks] a) Figure 6 shows a 15 kV radial feeder, and feeder parameters are given in Tables I and 2. i) Wha

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Question 4 20 Marks A Figure 6 Shows A 15 Kv Radial Feeder And Feeder Parameters Are Given In Tables I And 2 I Wha 1 (96.07 KiB) Viewed 23 times

Question 4 20 Marks A Figure 6 Shows A 15 Kv Radial Feeder And Feeder Parameters Are Given In Tables I And 2 I Wha 2 (110.55 KiB) Viewed 23 times

QUESTION 4 [20 Marks] a) Figure 6 shows a 15 kV radial feeder, and feeder parameters are given in Tables I and 2. i) What is the renewable hosting capacity of the feeder so that thermal limits anywhere in the feeder are not violated? What about the hosting capacity downstream of the feeder section 2-3? [3 Marks] ii) Distribution network service provider (DNSP) is planning to install renewable energy plants at buses 2, 4 and 5 only. By considering the thermal limits of the feeder, estimate the maximum renewable hosting capacity that the DNSP can install at bus 2, if buses 4 and 5 have their maximum renewable energy capacities installed? [3 Marks] You may assume that loads and generation are operating at unity power factor, otherwise clearly state any assumptions you make. 7 2 3 @t Figure 6: 15 kV radial feeder Table 1: Conductor data for the feeder in Figure 6. Feeder section 1-2 2-3 3-4 2-7 Rated current (A) 300 150 80 20 Impedance (N) 1.5+2j 2+6j 4+2j 6+2j Conductor size (mm²) 190 100 95 35 Table 2: Consumption data for the feeder in Figure 6. Bus 2 3 4 Minimum real power (kW) 200 0 100 Maximum real power (kW) 350 0 150 3-5 50 4.4+3.1j 40 5 140 200 5-6 20 6+2j 35 6 50 190 7 120 180
b) If we must limit the voltage rise caused by any new generation to be less than 5% anywhere in the feeder in Figure 6, calculate the hosting capacity at bus 5 (assuming unity power factor) corresponding to this network voltage rise constraint? What would be the voltage rise at bus 4 owing to this generation capacity added at bus 5 under the 5% voltage rise constraint? [5 Marks] c) If we connect a 1600 kW solar PV system to bus 5 in the feeder in Figure 6, what size inverter, capable of reactive power control, would we need to keep within 5% voltage rise limit while outputting 1600 kW? [3 Marks] d) Power at the receiving end of a three-phase transmission line with losses is given by S₂ |V₂||V₂|2(0-8) |ZI |V₂|²20 |Z| where 8 is the voltage phase angle difference, o is the line impedance angle, V₁] and [V₂] are the sending-end and receiving-end voltage magnitudes, respectively, and Z is the line impedance. Using this equation, show how the voltage at the receiving bus might have more than one solution for a fixed receiving bus power and sending bus voltage by deriving an appropriate system of non-linear equations (no need to attempt to solve them). What implications does this have for power system operation? [6 Marks] =