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This design project involves the use of layers of dielectrics in a high voltage cable. These layers have different permittivities €. Since the dielectric must withstand the maximum potential gradient of (q/2лe ex), a homogeneous dielectric is used uneconomically at all radii greater than r. Therefore, a compromise can be effected by using two or three dielectrics with different values of €. Suppose, for example, there are three layers of dielectric of outer radii r₁ r₂ and R and of dielectric constants €₁ and € as shown in the following Figure. TEI €2 €3 R Figure 1: High voltage cable layers o different permittivities 1. Let r = 10mm, R = 25mm, Emax 4kV/mm, , -5, €₂ =4 and €=3 2. Find the potential across the cable 3. Now consider the case of a cable having the same value of r and R but with a homogenous dielectric whose maximum allowable field is E, then what is the maximum permissible potential gradient between core and sheath. max' 4. What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable. 5. Illustrate through a diagram the potential difference between layers and the capacitance gradient distribution. 6. Find the voltage across the various layers of cable dielectrics.

This design project involves the use of layers of dielectrics in a high voltage cable. These layers have different permittivities €. Since the dielectric must withstand the maximum potential gradient of (q/2лe ex), a homogeneous dielectric is used uneconomically at all radii greater than r. Therefore, a compromise can be effected by using two or three dielectrics with different values of €. Suppose, for example, there are three layers of dielectric of outer radii r₁ r₂ and R and of dielectric constants €₁ and € as shown in the following Figure. TEI €2 €3 R Figure 1: High voltage cable layers o different permittivities 1. Let r = 10mm, R = 25mm, Emax 4kV/mm, , -5, €₂ =4 and €=3 2. Find the potential across the cable 3. Now consider the case of a cable having the same value of r and R but with a homogenous dielectric whose maximum allowable field is E, then what is the maximum permissible potential gradient between core and sheath. max' 4. What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable. 5. Illustrate through a diagram the potential difference between layers and the capacitance gradient distribution. 6. Find the voltage across the various layers of cable dielectrics.

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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Project Problem This design project involves the use of layers of dielectrics in a high voltage cable. These layers have different permittivities €. Since the dielectric must withstand the maximum potential gradient of (q/2π€ ex), a homogeneous dielectric is used uneconomically at all radii greater than r. Therefore, a compromise can be effected by using two or three dielectrics with different values of €. Suppose, for example, there are three layers of dielectric of outer radii r₁ r₂ and R and of dielectric constants €₁, €₂ and €3 as shown in the following Figure. r₂ VEI €2 €3 R Figure 1: High voltage cable layers o different permittivities 1. Let r= 10mm, R = 25mm, Emax 4kV/mm, c, =5, €₂ =4 and €=3 2. Find the potential across the cable 3. Now consider the case of a cable having the same value of r and R but with a homogenous dielectric whose maximum allowable field is Emax, then what is the maximum permissible potential gradient between core and sheath. 4. What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable. 5. Illustrate through a diagram the potential difference between layers and the capacitance gradient distribution. 6. Find the voltage across the various layers of cable dielectrics.
Transcribed Image Text:Project Problem This design project involves the use of layers of dielectrics in a high voltage cable. These layers have different permittivities €. Since the dielectric must withstand the maximum potential gradient of (q/2π€ ex), a homogeneous dielectric is used uneconomically at all radii greater than r. Therefore, a compromise can be effected by using two or three dielectrics with different values of €. Suppose, for example, there are three layers of dielectric of outer radii r₁ r₂ and R and of dielectric constants €₁, €₂ and €3 as shown in the following Figure. r₂ VEI €2 €3 R Figure 1: High voltage cable layers o different permittivities 1. Let r= 10mm, R = 25mm, Emax 4kV/mm, c, =5, €₂ =4 and €=3 2. Find the potential across the cable 3. Now consider the case of a cable having the same value of r and R but with a homogenous dielectric whose maximum allowable field is Emax, then what is the maximum permissible potential gradient between core and sheath. 4. What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable. 5. Illustrate through a diagram the potential difference between layers and the capacitance gradient distribution. 6. Find the voltage across the various layers of cable dielectrics.
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