Explain the definitions of three sets of sequence components. Take voltages or currents for example, Draw the three sets of sequence components.
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Explain the definitions of three sets of sequence components. Take voltages or currents for example, Draw the three sets of sequence components.
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- Consider three ideal single-phase transformers (with a voltage gain of ) put together as three-phase bank as shown in Figure 3.35. Assuming positive-sequence voltages for Va,Vb, and Vc find Va,Vb, and VC. in terms of Va,Vb, and Vc, respectively. (a) Would such relationships hold for the line voltages as well? (b) Looking into the current relationships, express IaIb and Ic in terms of IaIb and Ic respectively. (C) Let S and S be the per-phase complex power output and input. respectively. Find S in terms of S.The per-unit equivalent circuit of two transformers Ta and Tb connected in parallel, with the same nominal voltage ratio and the same reactan of 0.1 per unit on the same base, is shown in Figure 3.43. Transformer Tb has a voltage-magnitude step-up toward the load of 1.05 times that of Ta (that is, the tap on the secondary winding of Tb is set to 1.05). The load is represented by 0.8+j0.6 per unit at a voltage V2=1.0/0 per unit. Determine the complex power in per unit transmitted to the load through each transformer, comment on how the transformers share the real and reactive powers.Three single-phase two-winding transformers, each rated 25MVA,54.2/5.42kV, are connected to form a three-phase Y- bank with a balanced Y-connected resistive load of 0.6 per phase on the low-voltage side. By choosing a base of 75 MVA (three phase) and 94 kV (line-to-line) for the high-voltage side of the transformer bank, specify the base quantities for the low-voltage side. Determine the per-unit resistance of the load on the base for the low-voltage side. Then determine the load resistance RL in ohms referred to the high-voltage side and the per-unit value of this load resistance on the chosen base.
- A bank of three single-phase transformers, each rated 30MVA,38.1/3.81kV, are connected in Y- with a balanced load of three 1, Y-connected resistors. Choosing a base of 90MVA,66kV for the high-voltage side of the three-phase transformer. spify the base for the low-voltage side. Compute the per-unit resistance of the load on the base for the low-voltage side. Also, determine the load resistance in ohms referred to the high-voltage side and the per-unit value on the chosen base.HOME WORK: Per-unit circuit: three-zone single-phase network determine the per-unit impedances and the per-unit source voltage. Then cal- culate the load current both in per-unit and in amperes. Transformer winding resistances and shunt admittance branches are neglected. Zone 1 Vs = 220/0° volts i Three zones of a single-phase circuit are identified in Figure 3.10(a). The zones are connected by transformers T₁ and T₂, whose ratings are also shown. Using base values of 30 kVA and 240 volts in zone 1, draw the per-unit circuit and T₁ 30 kVA 240/480 volts Xeq = 0.10 p.u. V sp.u. = 0.9167/0° p.u. Zoase Zone 2 Xune 20 (a) Single-phase circuit I'spu i Xtio.u Zone 1 Vbase1 = 240 volts (240)² 30,000 Spase = 30 kVA = 1.92 T₂ Zload = 0.9 +0.2 20 KVA 460/115 volts Xea = 0.10 p.u. jXunepu j0.10 p.u. j0.2604 p.u. Zone 2 Vbase2 = 480 volts Zbase2 = Zone 3 (480)² 30,000 ¡XT2pu hoadp.u. = 7.68 (b) Per-unit circuit /0.1378 p.u. Zone 3 Vbase3= 120 volts Zbase3 = base3 = Zoadp.u. = 1.875+ 0.4167 p.u.…Three zones of a single-phase circuit are identified in the figure. The zones are connected by transformers T₁ and T2, whose ratings are also shown. Using base values of 100 kVA and 240 volts in zone 1, draw the per-unit circuit and determine the per-unit impedances and the per-unit source voltage. Then calculate the load current both in per-unit and in amperes. Transformer winding resistances and shunt admittance branches are neglected. Zone 1 Zone 2 Vs = 220/0° volts 3---38 T, 30 KVA 240/480 volts M 0.10 p.u. Xoa Xune = 2 fl T T₂ 20 kVA 460/115 volts Xeg = 0.10 p.u. Zone 3 ww Zload = 0.9 - 10.20
- Q2. (a) Explain what is per unit system? What are the advantages of per-unit computations? Prove for the problem given in part (b) that PU impedance of the circuit element connected by the transformers expressed on a proper base will be same if it is referred to either side of a transformer.3.26 A bank of three single-phase transformers, each rated 30 MVA, 38.1/3.81 kV, are connected in Y-A with a balanced load of three 1 N, Y-connected resistors. Choosing a base of 90 MVA, 66 kV for the high-voltage side of the three-phase transformer, specify the base for the low-voltage side. Compute the per-unit resistance of the load on the base for the low-voltage side. Also, determine the load resistance in ohms referred to the high-voltage side and the per-unit value on the chosen base.A single phase transformer has a voltage transformation ratio of 0.4. The resistance and reactance of memory winding are 80 and 180 respectively. While the resistance and reactance of the secondary winding are 1.50 and 2.60 respectively. So Find (1) Resistance and reactance of the secondary referred to the primary, (2) the resistance and reactance of the primary referred to the secondary, (3) the resistance, reactance and impedance referred to the primary of the whole transformer, and (4) the resistance, reactance and impedance referred to the secondary of the whole transformer.
- Three zones of a single-phase circuit are identified in Figure. The zones are connected bytransformers T1 and T2, whose ratings are also shown.Using base values of 30 kVA and 240 volts in zone 1:a. draw the per-unit circuit and determine the per-unit impedances and the per-unitsource voltage.b. calculate the load current both in per-unit and in amperes. Transformer windingresistances and shunt admittance branches are neglected.Explain in detail "phase shift in star delta transform" for positive and negative sequence voltages. How can we represent a transformer in π model and give necessary equationsWhat is the definition of zero sequence impedance in transformer? What is the benefit of zero sequence impedance in transformers?