7. A two-layer high-voltage cable is given, insulated with the plastic PA 1-4 with the inner radius Rin = 30 mm, the required middle radius" Rb = ?" and the outer radius Rout = 80 mm. The second layer of insulation is XLPE with a With an applied voltage U = 500 kV between conductor and external sheet. Cable sheet is grounded. Length 1 = 1 m. relative permittivity of &2 = 2.5. required Rb Rin 30 mm Rout 80 mm Er E12 500 kv Figure 1. schematic of the insulation system of the cable in the electrostatic field a. Draw the electric field in the cable. Fig. 1. b. Show that the electric field strength in the cable can be calculated using the following equation: E U r. In(rout/rin) C. Calculate the middle radius Rb for the optimum case of maximum field strengths E1 and E2 in the cable. (Rb>=50 mm, alternative result) d. Draw the curve of the field graphically. (Diagram is given on next page) c. Show that the capacitance of the cable can be calculated using the following formula: C Tout Tin f. Calculate the capacity of the sub-sections and the total capacitance. g. Calculate the electric charge of the cable.

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
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.1P: The Aluminum Electrical Conductor Handbook lists a dc resistance of 0.01558 ohm per 1000 ft at 20C...
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Please solve questions c f and g in detail step by step and show calculations preferably handwritten solution thank you very much

7. A two-layer high-voltage cable is given, insulated with the plastic PA 1-4 with the inner radius Rin = 30 mm, the
required middle radius" Rb = ?" and the outer radius Rout = 80 mm. The second layer of insulation is XLPE with a
With an applied voltage U = 500 kV between conductor and external sheet. Cable sheet is grounded. Length 1 = 1 m.
relative permittivity of &2 = 2.5.
required Rb
Rin 30 mm
Rout 80 mm
Er
E12
500 kv
Figure 1. schematic of the insulation system of the cable in the electrostatic field
a.
Draw the electric field in the cable. Fig. 1.
b. Show that the electric field strength in the cable can be calculated using the following
equation:
E
U
r. In(rout/rin)
C. Calculate the middle radius Rb for the optimum case of maximum field strengths E1 and E2 in the cable.
(Rb>=50 mm, alternative result)
d.
Draw the curve of the field graphically. (Diagram is given on next page)
c.
Show that the capacitance of the cable can be calculated using the following formula:
C
Tout
Tin
f.
Calculate the capacity of the sub-sections and the total capacitance.
g. Calculate the electric charge of the cable.
Transcribed Image Text:7. A two-layer high-voltage cable is given, insulated with the plastic PA 1-4 with the inner radius Rin = 30 mm, the required middle radius" Rb = ?" and the outer radius Rout = 80 mm. The second layer of insulation is XLPE with a With an applied voltage U = 500 kV between conductor and external sheet. Cable sheet is grounded. Length 1 = 1 m. relative permittivity of &2 = 2.5. required Rb Rin 30 mm Rout 80 mm Er E12 500 kv Figure 1. schematic of the insulation system of the cable in the electrostatic field a. Draw the electric field in the cable. Fig. 1. b. Show that the electric field strength in the cable can be calculated using the following equation: E U r. In(rout/rin) C. Calculate the middle radius Rb for the optimum case of maximum field strengths E1 and E2 in the cable. (Rb>=50 mm, alternative result) d. Draw the curve of the field graphically. (Diagram is given on next page) c. Show that the capacitance of the cable can be calculated using the following formula: C Tout Tin f. Calculate the capacity of the sub-sections and the total capacitance. g. Calculate the electric charge of the cable.
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