The one line Diagram of a power system is shown in figure the Three phase power and Line-Line rating are given below G. 80MVA, 22 kV, X = 24% G2: 68.85MVA, 21 kv, x = 22.5%. T: 90 MVA, 24/220kv, X = 1% T2: 80 M VA, 20/220 kV, x=6% Line! 121 J Line: 49 r Line ! 50 π Load: 10M var, Capacitor. Draw an impedance diag veu in Per unit and Find matrix. choose 2 oku, loo MVA, base. Tz G 0438 LI LET G2 T load

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Problem 1- Series en Parallel AC networks [19] Look at the circuit in Figure 1 and determine the following: A. B Zs (d) Current (I1) through impedance Z2. (e) Current (12) through impedance Z3. (f) Current (13) through impedance Z4. 220V;50HZ Figure 1 Z1 = 3 + j5 ohm Z2 = 10 + jo ohm Z3 = 5 + j15 ohm Z4 = 10 – j30 ohm Zs = 20 – j30 ohm Admittance and Impedance in rectangular notation. All currents and voltage in polar Take voltage as reference. notation.

Figure below shows the one line diagram of a 3-o system. By selecting a common base of 100 MVA and 22 KV on the generator side, draw an impedance diagram showing all impedances including the load impedance in per unit. The data are given as follows: G: 100 MVA, 22 KV, X= 0.18 pu 22/220 KV, X= 0.1 pu TR1: 50 MVA, TR2: 40 MVA, 220/11 KV, X=0.06 pu Load 1: 50 MVA, 0.8 pf lag Load 2: 50 MVA, 0.8 pf lead If volt at bus 4 equal 11 KV constant value : calculate i) volt at bus 1 ii) EMF (Eg) of generator ii) Transmission line current TR1 TR2 ZTL=j80 2 G1 3. 4 Load 1 Load 2

The one-line diagram of a three-phase power system is as shown in the figure attached. Impedances are marked in per unit on a 100-MVA, 400-kv base. The load at bus 2 is S(sub 2) = 15.93 MW - j33.4 Mvar, and bus 3 is S(sub 3) = 77MW + j14 Mvar. I tis required to hold the voltage at bus 3 at 400 angle 0 degrees kV. Working in per unit, determine the voltage at buses 2 and 1.

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Three single-phase distribution transformers, each rated for 18 kVA, 20000/220 volts, are connected in a Dy three-phase bank. For convenience, at the factory, the OCT and the SCT were per- formed as per standards with the whole three-phase bank already connected and the measured values were as follows: Vline 381.051V, line 1.78436A, P30 = 372.414 W. Vline = 5656.85 V, Iline = 1.55885 A, P30 = 2160 W. Three phase bank of single phase transformer on a utility pole. 37.5 K (a) Find the single phase equivalent circuit referred to the low volt- age side. (b) Find the transformer regulation at the rated load and voltage and a power factor of 0.45 lagging (Neglect the excitation current). (c) Using the "load" model, what is the approximate transformer- bank's efficiency, n, under these conditions of load? (a) R2 X=2 Rsc=mXsc = mS (b) Vreg= (c) n = %

The three-phase power and line-line ratings of the electric power system shown in Figure 30 are given below. Vg OBH G T2 2 Vm Line M FIGURE 30 One-line diagram for Problem 3.15 G₁: 60 MVA 20 kV X = 9% T₁: 50 MVA 20/200 kV X = 10% T2: 50 MVA 200/20 kV X = 10% M: 43.2 MVA 18 kV X = 8% Line: 200 kV Z 120+j200 $2 (a) Draw an impedance diagram showing all impedances in per unit on a 100-MVA base. Choose 20 kV as the voltage base for generator. (b) The motor is drawing 45 MVA, 0.80 power factor lagging at a line-to-line ter- minal voltage of 18 kV. Determine the terminal voltage and the internal emf of the generator in per unit and in kV.

Figure 1 shows a three-phase power system network comprises of synchronous generator, transformers, transmission lines and loads while Table 1 shows the ratings of the components. Using per unit analysis, 100 MVA base and 20 kV as the voltage base at the generator, answer the following questions: Ig T2 TLine Load C Load A Load B Figure 1: A simple power system network. Table 1: The power system component ratings G 90 MVA, 20 kV, XG = 120% T1 80 MVA, 20/132 kV, XTI = 16% T2 80 MVA, 132/11 kV, XT2 = 10% TLine 132 kV, XLine = 18 2 Load A 7 MW +j 3 Mvar Load B 30 MW +j 15 Mvar Load C 22 MVA, 0.89 power factor leading (a) Calculate the impedance per-unit values of all independent components based on given conditions.