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Fundamentals of High Voltage Engineering . In an experiment for determining the

ID: 2294179 • Letter: F

Question

Fundamentals of High Voltage Engineering . In an experiment for determining the breakdown strength of transformer oil with standard electrodes, the following observations were obtained with two different types of oils. Determine the power law for breakdown and hence estimate the breakdown strength for a 1 cm gap Gap spacing (mm) BD voltage (kV) Gap spacing (mm) BD voltage (kV) 6 148 6 143 10 219 12 214 A oil 86 3 84 169 9 192 B oil (Answers: A oil: V-32.6d4, BDS 210 kV/cm; B oi: Vb 31.4d0.82, BDS- 204 kV/em) 2. An insulator is composed of two parallel connected plane insulators with their plates area of 0.2 dm2 The two materials have relative permittivity as 4 and 2.7 and with loss angles (dissipation angles) ?? 4.6° and 62-5.7°. Electrode distance is 3 mm. If the insulator operates at VRMs 20 kV at 50 Hz, which of the two materials will suffer from thermal breakdown earlier

Explanation / Answer

x1=[3 6 9 10]; % oil 1
y1=[86 148 169 219];
p1 = polyfit(log(x1),log(y1),1); % y=b*x^m'

m1= p1(1)
b1= exp(p1(2))
y1_1cm_oil_1=b1*(10)^m1 %1cm BDS

x2=[3 6 9 12]; %oil 2
y2=[84 143 192 214];
p2 = polyfit(log(x2),log(y2),1);
m2 = p2(1)
b2 = exp(p2(2))
y2_1cm_oil_1=b2*(10)^m2 % 1cm BDS


Solution from matlab

>> HVwork

m1 =

    0.7066


b1 =

   39.9280


y1_1cm_oil_1 =

   39.9280


m2 =

    0.6926


b2 =

   40.1729


y2_1cm_oil_1 =

   40.1729

>> HVwork

m1 =

    0.7066


b1 =

   39.9280


y1_1cm_oil_1 =

203.1984


m2 =

    0.6926


b2 =

   40.1729


y2_1cm_oil_1 =

197.9186

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second part electrode type is not mentioned