1.10 A 60-Hz, three-phase three-wire overhead line has solid cylindrical conductors arranged in the form of an equilateral triangle with 4-ft conductor spacing. The conductor diameter is 0.5 in. Calculate the positive-sequence inductance in H/m and the positive-sequence inductive reactance in /km.
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A: Given: To find determine the inductance in H/m and inductive reactance in Ω/km is shown as :
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A: It is given that: l=300kmf=60HzL=0.36 mHkm per phaseC=0.0115 μFkmVR=500 kVPR=800MWcosϕ=0.9
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- A 60-Hz, three-phase three-wire overhead line has solid cylindrical conductors arranged in the form of an equilateral triangle with 4-ft conductor spacing. The conductor diameter is 0.5 in. Calculate the positive-sequence inductance in Wm and the positive-sequence inductive reactance in /km.For a single-phase, two-wire line consisting of two solid cylindrical conductors of same radius, r, the total circuit inductance, also called loop inductance, is given by (in H/m) 2107ln(Dr) 4107ln(Dr) where r=e14r=0.778rThe capacitance of a single-circuit, three-phase transposed line with the configuration shown in Figure 4.38, including ground effect, and with conductors not equilaterally spaced is given by C20lnDeqrlnHmH8 F/m line-to-neutral where Deq=D12D23D133=GMD r= conductors outside radiusHm=(H12H23H13)1/3HS=(H1H2H3)1/3 Now consider Figure 4.39 in which the configuration of a three-phase, single circuit, 345-kV line with conductors having an outside diameter of 1.065 in. is shown. Determine the capacitance to neutral in F/m, including the ground effect. Next, neglecting the effect of ground, see how the value changes.
- For a three-phase three-wire line consisting of three solid cylindrical conductors each with radius r and with equal phase spacing D between any two conductors, the inductance in H/m per phase is given by 2107ln(Dr)4107ln(Dr)6107ln(Dr) where r=e14r=0.778rA 230-kV, 60-Hz, three-phase completely transposed overhead line has one ACSR 954 kcmil conductor per phase and flat horizontal phase spacing, with 7 m between adjacent conductors Determine the inductance in H/m and the inductive reactance in /km.Figure 4.34 shows double-circuit conductors' relative positions in segment I of transposition of a completely transposed three-phase overhead transmission line. The inductance is given by L=2107lnGMDGMRH/m/phase Where GMD=(DABeqDBCeqDACeq)1/3 With mean distances defined by equivalent spacings DABeq=(D12D12D12D12)1/4DBCeq=(D23D23D23D13)1/4DACeq=(D13D13D13)1/4 And GMR=[ (GMR)A(GMR)B(GMR)C ]1/3 with phase GMRs defined by (GMR)A=[ rD11 ]1/2;(GMR)B=[ rD22 ]1/2;(GMR)C=[ rD33 ]1/2 and r is the GMR of phase conductors. Now consider a 345-kV, three-phase, double-circuit line with phase-conductors GMR of 0.0588 ft and the horizontal conductor configuration shown in Figure 4.35. Determine the inductance per meter per phase in Henries (H). Calculate the inductance of just one circuit and then divide by 2 to obtain the inductance of the double circuit.
- For the case of double-circuit, bundle-conductor lines, the same method indicated in Problem 4.27 applies with r' replaced by the bundles GMR in the calculation of the overall GMR. Now consider a double-circuit configuration shown in Figure 4.36 that belongs to a 500-kV, three-phase line with bundle conductors of three subconductors at 21 in. spacing. The GMR of each subconductor is given to be 0.0485 ft. Determine the inductive reactance of the line in ohms per mile per phase. You may use XL=0.2794logGMDGMR/mi/phaseA stranded conductor is an example of a composite conductor. True FalseQ1: a) Discuss the effect of earth on the capacitance of a line : b) Derive in expression for the capacitance to neutral per phase per Km of a single phase overhead transmission line, taking into account the effect of earth. c) Derive in expression for the capacitance to neutral per phase per Km of a 3- phase overhead transmission line when conductors are of equilateral spacing.
- An 8000 V, 60 Hz, single-phase, transmission line consists of two hard-drawn aluminumconductors with a radius of 2 cm spaced 1.2 m apart. If the transmission line is 30 km longand the temperature of the conductors is 200C,a. What is the series resistance per kilometer of this line?b. What is the series inductance per kilometer of this line?c. What is the shunt capacitance per kilometer of this line?Q2: A single-phase transmission line consisting of two conductors, the radius of each conductor is 0.4 cm, the distance between the conductors is three and half meters and the height above ground is eight meter. (1) The capacitance in µF/km without effect of ground? (2) The capacitance in µF/km with effect of ground?What do you understand by impedance matching? Also write the formula of characteristic impedance for a loss less line? A piece of parallel wire line has a nominal capacitance of 30 Farad/mm, and 9 Henry inductance per meter. Assume the radius of the conductor is 0.005 meter then find the distance between the two parallel wire lines in millimeter.