GENERAL DATA Scenario 1 Fixed consumption Scenario 2 Fixed consumption Scenario 3 Fixed consumption - lighter AP/AV_1 R Line cable XL [mm2] Ohms/km Ohms/km 3 x 40 0.6766 Length ated current [km] V_0 P_O [A] D [KV] [MW] 0.33 22 150 36.75 6.5 1 Scenario 4 Consumption of P depends on V_1 V_0_1 @ 35 k cos Q Scenario 5 Consumption of P depends on V_1 COS Q V_0 P_O [KV] [MW] 36.75 6.5 0.95 Scenario 6 COS Q V_0 [KV] P_O [MW] COS Q 36.75 3.25 0.95 Scenario 7 Scenario 8 Max line current Max line current Max line current V_0 _1 @ 35 kys @ 35 AP / AV_1 [KV] [MW] [%/%] [KV] [MW] [%/%] V_0 [kV] cos Q V_0 [KV] COS Q V_1 COS Q [kv] 36.75 6.5 1 1.4 36.75 6.5 0.95 1.4 36.75 1 36.75 0.95 34 0.95 Full Cable data (for info only) https://www.yifangcable.com/product/aluminium-conductors-steel-reinforced-acsr-bs-215-standard/ Sectional Stranding Strandin Approximate Sectional Sectional Max. DC Nominal Area Breaking Current Area Steel & Wire & Wire overall Diameter Area Area Weight Resistance Aluminiu Load Rating diameter Steel Total at 20°C m mm2 mm mm mm mm2 mm2 mm2 kg/km kN Ohm/km A 25 6/2.36 1/2.36 7.08 26.24 4.38 30.62 106 9.61 1.093 126 30 6/2.59 1/2.59 7.77 31.61 5.27 36.88 128 11.45 0.9077 134 40 6/3.00 1/3.00 42.41 7.07 49.48 172 15.2 0.6766 161 50 6/3.35 1/3.35 10.05 52.88 8.82 61.7 214 18.35 0.5426 185 70 12/2.79 7/2.79 13.95 73.37 42.83 116.2 538 61.2 0.3936 268 100 6/4.72 7/1.57 14.15 105 13.5 118.5 394 32.7 0.2733 278
Analyse several voltage and current situations in different loading scenarios in a simplified radial (transformer to consumption) medium-voltage power system example. There are only 2 nodes in the 35 kV line – node 0 from the 110/35 kV and node 1 with one consumer. The physical characteristics of the line and the loading scenarios are individualized for each student – please see the attached file Excel “WM9P3 Task1 data” for your particular data set.
Briefly reflect on the complexity of the calculations for known input or output voltage, as well as for fixed or voltage-dependent consumption in this simple power system model.
Analyse and discuss the sensitivity of the voltage drop [in % of amplitude and the degrees of phase] with respect to the current level [in %] and to the power factor.
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