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 " R₁ = ?" and the outer radius Rout = 80 mm. The second layer of insulation is XLPE with a relative permittivity of &12 = 2.5. With an applied voltage U = 500 kV between conductor and external sheet. Cable sheet is grounded. Length 1 = 1 m. required Rb Rin 30 mm Rout 80 mm Er1 E42 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: U E = r. In(rout/in) C. Calculate the middle radius R₁ for the optimum case of maximum field strengths E1 and E2 in the cable. (R>=50 mm, alternative result) d. Draw the curve of the field graphically. (Diagram is given on next page) e. Show that the capacitance of the cable can be calculated using the following formula: 2π-ε-1 с Tout In Tin f. Calculate the capacity of the sub-sections and the total capacitance. g. Calculate the electric charge of the cable.

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 " R₁ = ?" and the outer radius Rout = 80 mm. The second layer of insulation is XLPE with a relative permittivity of &12 = 2.5. With an applied voltage U = 500 kV between conductor and external sheet. Cable sheet is grounded. Length 1 = 1 m. required Rb Rin 30 mm Rout 80 mm Er1 E42 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: U E = r. In(rout/in) C. Calculate the middle radius R₁ for the optimum case of maximum field strengths E1 and E2 in the cable. (R>=50 mm, alternative result) d. Draw the curve of the field graphically. (Diagram is given on next page) e. Show that the capacitance of the cable can be calculated using the following formula: 2π-ε-1 с Tout In 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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