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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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Problem 3.22 A 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. ### Objective Calculate 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.
Transcribed Image Text:### Problem 3.22 A 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. ### Objective Calculate 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.
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