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The four-bus power system in Figure 2 has following equipment parameters: G1: 500 MVA 13.8 KV, xd"=x1=x2=0.20, x0=0.10pu G2: 750 MVA, 18 kv, xd"=x1=x2=0.18, x0=0.09pu G3: 1000 MVA, 20 kv, xd"=x1=0.17, x2=0.20, x0=0.09pu T1: 500 MVA, 13.8/500 kv, delta-wye, x=0.12pu T2: 750 MVA, 18/500 kv, delta-wye, x=0.10pu T3: 1000 MVA, 20/500 kv, delta-wye, x=0.10pu Each Line: X1 = 50 Ω; X0 = 150 Ω All per-unit reactance values are given on the respective equipment rating (voltage and power) as the base. The inductor connected to generator G3 neutral has a reactance of 0.028 Ω. (c) Determine the subtransient fault current in per-unit and in kA during a bolted three-phase fault at bus 1 in part b.

The four-bus power system in Figure 2 has following equipment parameters: G1: 500 MVA 13.8 KV, xd"=x1=x2=0.20, x0=0.10pu G2: 750 MVA, 18 kv, xd"=x1=x2=0.18, x0=0.09pu G3: 1000 MVA, 20 kv, xd"=x1=0.17, x2=0.20, x0=0.09pu T1: 500 MVA, 13.8/500 kv, delta-wye, x=0.12pu T2: 750 MVA, 18/500 kv, delta-wye, x=0.10pu T3: 1000 MVA, 20/500 kv, delta-wye, x=0.10pu Each Line: X1 = 50 Ω; X0 = 150 Ω All per-unit reactance values are given on the respective equipment rating (voltage and power) as the base. The inductor connected to generator G3 neutral has a reactance of 0.028 Ω. (c) Determine the subtransient fault current in per-unit and in kA during a bolted three-phase fault at bus 1 in part b.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The four-bus power system in Figure 2 has following equipment parameters:

G1: 500 MVA 13.8 KV, xd"=x1=x2=0.20, x0=0.10pu

G2: 750 MVA, 18 kv, xd"=x1=x2=0.18, x0=0.09pu

G3: 1000 MVA, 20 kv, xd"=x1=0.17, x2=0.20, x0=0.09pu

T1: 500 MVA, 13.8/500 kv, delta-wye, x=0.12pu

T2: 750 MVA, 18/500 kv, delta-wye, x=0.10pu

T3: 1000 MVA, 20/500 kv, delta-wye, x=0.10pu

Each Line: X1 = 50 Ω; X0 = 150 Ω

All per-unit reactance values are given on the respective equipment rating (voltage and power) as the base. The inductor connected to generator G3 neutral has a reactance of 0.028 Ω.

 

(c) Determine the subtransient fault current in per-unit and in kA during a bolted three-phase fault at bus 1 in part b.

The image is a schematic diagram of an electrical network comprising three generators and several components, annotated with numbered points and labeled reactances. Below is a detailed description of the components and their layout: 1. **Generators and Transformers:** - **\( G_1 \), \( G_2 \), and \( G_3 \):** Represented as AC voltage source symbols. These are the input power sources for the network. - **\( T_1 \) and \( T_3 \):** Represented as transformer symbols. These are used for stepping up or down the voltage levels between the generators and the network nodes. - **\( T_2 \):** A transformer that is connected to \( G_2 \) and provides a link to the main line. 2. **Network Components:** - **Capacitors and Inductors:** - Three inductors with reactance \( j50.0 \, \Omega \) are placed in series between the numbered nodes and transformers. These inductors are important for managing reactive power in the system. - Capacitors are indicated at several points in the network to manage reactive power flow. 3. **Nodes:** - **Labeled Nodes:** - **①, ②, ③, ④:** These indicate key connection points in the circuit, potentially used for measurement or control. 4. **Grounding and Symbols:** - Ground symbols are shown connected to the generators \( G_1 \), \( G_2 \), and \( G_3 \), establishing a common return path for the current. - Delta (∆) symbols may indicate three-phase connections or imply certain contact specifics for transformers. 5. **Load and Connections:** - **\( X_n \):** This is a grounded element connected to \( G_3 \), likely representing the load impedance or other terminating network element. This schematic shows a complex network system involving multi-stage energy transformation and reactive power management, typical in power distribution systems.
Transcribed Image Text:The image is a schematic diagram of an electrical network comprising three generators and several components, annotated with numbered points and labeled reactances. Below is a detailed description of the components and their layout: 1. **Generators and Transformers:** - **\( G_1 \), \( G_2 \), and \( G_3 \):** Represented as AC voltage source symbols. These are the input power sources for the network. - **\( T_1 \) and \( T_3 \):** Represented as transformer symbols. These are used for stepping up or down the voltage levels between the generators and the network nodes. - **\( T_2 \):** A transformer that is connected to \( G_2 \) and provides a link to the main line. 2. **Network Components:** - **Capacitors and Inductors:** - Three inductors with reactance \( j50.0 \, \Omega \) are placed in series between the numbered nodes and transformers. These inductors are important for managing reactive power in the system. - Capacitors are indicated at several points in the network to manage reactive power flow. 3. **Nodes:** - **Labeled Nodes:** - **①, ②, ③, ④:** These indicate key connection points in the circuit, potentially used for measurement or control. 4. **Grounding and Symbols:** - Ground symbols are shown connected to the generators \( G_1 \), \( G_2 \), and \( G_3 \), establishing a common return path for the current. - Delta (∆) symbols may indicate three-phase connections or imply certain contact specifics for transformers. 5. **Load and Connections:** - **\( X_n \):** This is a grounded element connected to \( G_3 \), likely representing the load impedance or other terminating network element. This schematic shows a complex network system involving multi-stage energy transformation and reactive power management, typical in power distribution systems.
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