### Electrical Power Transmission Analysis**Problem 19: Transmission Line Analysis**A 345 kV transmission line is 230 miles long, utilizing bundled conductors. This line uses two conductors per phase, with a separation of 19 inches between bundles, and a clearance of 23.5 feet between phases in a flat configuration. The derived parameters for this transmission system are provided as follows:| Parameter | Value ||--------------------------|-----------------------------|| Inductance | \(9.726 \times 10^{-7}\) H/m || Capacitance | \(1.170 \times 10^{-11}\) F/m || Resistance | \(4.605 \times 10^{-5}\) Ω/m || Current Carrying Capacity | 1600 A per phase |**Tasks:**a. Determine the medium line length model equivalent π (pi) circuit values for this line. b. Calculate the long line model equivalent π (pi) circuit values for this line.c. Compare the values and implications of the medium and long line models.**Additional Notes:**You can calculate complex hyperbolic functions to assist with these tasks.d. Considering the nominal line voltage and the current carrying capacity of the line in amperes, determine the thermal capacity of this line in volt-amperes (VA). (Refer to the ACSR appendix table in your textbook for guidance.)**Page: 10**

"Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately."Given values for this problem areinductance (L)= H/mCapacitance(C) = F/mResistance (R) = Ohms/mCurrent carrying capacity = 1600 Amps/phaseUsing the following equations for the distributed parameters of the transmission line, we can get the medium line length model equivalent circuit values and the long line model equivalent circuit values for the given transmission line.a) Medium Line model:Inductance Capacitance Resistance Conductance b) Long Line model:Inductance Capacitance Resistance Conductance c) Comparing the resultsbecause it only takes into account half of the real values, the medium line model has less capacitance and inductance than the long line model.In both versions, the resistance is the same.In all models, the conductance (G) values are zero, demonstrating the absence of shunt conductance.The medium line model for the 345 kV transmission line, with inductance yields equivalent π circuit values and, while the long line model has doubled inductance and reduced capacitance.

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A 345kv line is 230 miles long and used bundled conductors. It has two crow conductors/phase, with bundles separation of 19 inches. It is in a flat configuration, with 23.5 feet clearance between phases. From these values, the following parameters were determined: Inductance Capacitance Resistance Current carrying capacity 9.726e-7 henries per meter 1.170e-11 farads per meter 4.605e-5 ohms/meter 1600 amps per phase a. Find the medium line length model equivalent pi circuit values for this line. b. Find the long line model equivalent pi circuit values for this line. c. Compare the values for these two models.

A 345kv line is 230 miles long and used bundled conductors. It has two crow conductors/phase, with bundles separation of 19 inches. It is in a flat configuration, with 23.5 feet clearance between phases. From these values, the following parameters were determined: Inductance Capacitance Resistance Current carrying capacity 9.726e-7 henries per meter 1.170e-11 farads per meter 4.605e-5 ohms/meter 1600 amps per phase a. Find the medium line length model equivalent pi circuit values for this line. b. Find the long line model equivalent pi circuit values for this line. c. Compare the values for these two models.

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Concept explainers

Short Transmission Line

A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.

Power Flow Analysis

Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.

Complex Form

A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.

Question

### Electrical Power Transmission Analysis

**Problem 19: Transmission Line Analysis**

A 345 kV transmission line is 230 miles long, utilizing bundled conductors. This line uses two conductors per phase, with a separation of 19 inches between bundles, and a clearance of 23.5 feet between phases in a flat configuration. The derived parameters for this transmission system are provided as follows:

| Parameter | Value |
|--------------------------|-----------------------------|
| Inductance | \(9.726 \times 10^{-7}\) H/m |
| Capacitance | \(1.170 \times 10^{-11}\) F/m |
| Resistance | \(4.605 \times 10^{-5}\) Ω/m |
| Current Carrying Capacity | 1600 A per phase |

**Tasks:**

a. Determine the medium line length model equivalent π (pi) circuit values for this line.

b. Calculate the long line model equivalent π (pi) circuit values for this line.

c. Compare the values and implications of the medium and long line models.

**Additional Notes:**

You can calculate complex hyperbolic functions to assist with these tasks.

d. Considering the nominal line voltage and the current carrying capacity of the line in amperes, determine the thermal capacity of this line in volt-amperes (VA). (Refer to the ACSR appendix table in your textbook for guidance.)

**Page: 10**

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