### Problem 3.22A balanced Y-connected voltage source with $ E_{ag} = 277 \angle 0^\circ $ volts is applied to a balanced-Y load in parallel with a balanced-Δ load where $ Z_Y = 20 + j10 $ and $ Z_Δ = 30 - j15 $ ohms. The Y load is solidly grounded. Using base values of $ S_{\text{base}1ϕ} = 10 $ kVA and $ V_{\text{base},LN} = 277 $ volts, calculate the source current $ I_a $ in per-unit and in amperes.#### Explanation:- **Y-connected voltage source:** This means that the power source and loads are connected in a star configuration.- **Balanced-Y and Δ Load:** These are specific configurations of electrical loads, where $ Z_Y $ and $ Z_Δ $ are their impedances given in complex form.- **Solidly Grounded Y Load:** Indicates that the Y load has a direct connection to the ground, eliminating potential unbalances.- **Base Values:** Used for per-unit system calculations where the apparent power base is $ 10 $ kVA and the line-to-neutral voltage base is $ 277 $ volts.### ObjectiveCalculate the source current $ I_a $ in two formats:1. **Per-unit system:** A normalized value of electrical quantities.2. **Amperes:** The standard unit of electric current.

Answered: Image /qna-images/answer/67811914-a959-4664-9ec7-de1ec68b7e7a.jpg

A balanced Y-connected voltage source with E = 277/0° volts is applied to a balanced-Y load in parallel with a balanced-A load where Zy = 20 + j10 and ZA = 30 – j15 ohms. The Y load is solidly grounded. Using base values of Spasels = 10 kVA and V naseLN = 277 volts, calculate the source current I, in per-unit and in amperes.

A balanced Y-connected voltage source with E = 277/0° volts is applied to a balanced-Y load in parallel with a balanced-A load where Zy = 20 + j10 and ZA = 30 – j15 ohms. The Y load is solidly grounded. Using base values of Spasels = 10 kVA and V naseLN = 277 volts, calculate the source current I, in per-unit and in amperes.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.25P: Consider a single-phase electric system shown in Figure 3.33. Transformers are rated as follows:...

See similar textbooks

Similar questions

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.
() State TWO (2) advantages of three-phase system over single-phase system. (ii) For a three-phase system with delta load connection, derive line and phase current relationship as stated in equation (2.1). line = V3lpnase 4 – 30 A (2.1)
D = 0.9 1.5° and B = 150 65° has at the load end a The load voltage and current are V₁ and I₁ A' B' VL B][Y and evaluate these constants. C' D' IL A long line with A transformer having series impedance Zr Obtain expression for Vs and Is in the form 10067°. [$]-[ =
Problem 5 Consider a three winding transformer with the following particulars: = Z₁ Z2 Z3 =0.02 + j0.08 £, V₂ = 400 V, 12 = 60/30° A, and I3 = 50/-40° A. Assume that V₂ is the reference phasor, calculate: The intermediate voltage Vo. a. b. The primary current I₁ and the primary voltage V₁. c. The tertiary voltage V3 referred to the primary side. d. The apparent powers and the power factors at the primary, secondary and tertiary terminals. e. The transformer efficiency.
Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR
EXAMPLE 3.5 Per-unit and actual currents in balanced three-phase networks As in Example 2.5, a balanced-Y-connected voltage source with Egb = 480/0° volts is applied to a balanced-A load with ZA = 30/40° 2. The line impedance between the source and load is ZL = 1/85° 2 for each phase. Calculate the per-unit and actual current in phase a of the line using Stase3s = 10 kVA and VbaseLL = 480 volts. Z. a Eon N. Eun /40° Z = 1/85° N
1. A single-phase power system as shown in Figure 1 consists of a 240 V, 60 Hz generator supplying a load, Zod = 8 + j6 Q through a transmission line of impedance, Zne = 0.08 + j0.14 Q. Answer the following questions: (1) transformer, T; and T2. Determine the voltage at the load and transmission line losses without the (ii) Determine the voltage at the load and transmission line losses with the transformer, T, and T2. T1 T2 1:10 10:1 IG Zaine Zioad source Figure 1
2.35 For the circuit shown in Figure 2.29, convert the voltage sources to equiv- alent current sources and write nodal equations in matrix format using bus 0 as the reference bus. Do not solve the equations. 0.02 0 2 0.10 0.10 j.5N j.5N ーi19 Esi = 1.0 /30° V Es2 = 1.0 /0° V HI
Problem 1 - Series en Parallel AC networks [19] Look at the circuit in Figure 1 and determine the following: (a) Total Admittance. (b) Total Impedance. (c) Total Current (l:). (d) Current (I1) through impedance Z2. (e) Current (12) through impedance Z3. (f) Current (I3) through impedance Z4. (g) Is this an inductive or capacitive circuit? A. B Zs 220V;50HZ Figure 1 (h) Voltage across Z1. (i) Voltage across A and B. G) Voltage across Zs. 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 notation. Take voltage as reference.
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.
Please help me
3.17. The one-line diagram of a three-phase power system is as shown in Figure 3.36. The transformer reactance is 20 percent on a base of 100 MVA, 23/115 kV and the line impedance is Z = j66.1252. The load at bus 2 is S₂ = 184.8 MW+j6.6 Mvar, and at bus 3 is S3 = 0 MW +220 Mvar. It is required to hold the voltage at bus 3 at 115/0° kV. Working in per-unit, determine the voltage at buses 2 and 1. V₁ "J₁vv 23 VV V₂. S₂ VV j66.125 FIGURE 3.36 One-line diagram for Problem 3.17 V3 S3