From Handbook of Electric Power Calculations, Third Edition
INDUCTIVE REACTANCE OF BUNDLED TRANSMISSION LINE
Calculate the inductive reactance per phase at 377 rad/s for the bundled transmission line whose conductors are arranged in a plane shown in Fig. 9.6. Assume conductors are ACSR Crow.
Figure 9.6: A bundled transmission line.
1. Determine GMD
Assume distances are between bundle centers and transposition of phases. Then, GMD=[(9 2)(18)] 1/3=11.07 m. From Table 9.2, GMR c=0.034 ft (0.01 m). The GMR should include all conductor spacings from each other in the usual product form with, in this case, three values of GMR c. Because of redundancy, GMR=(0.01 0.45 2) 1/3=0.127 m.
2. Calculate Inductive Reactance per Phase
X L=377 2 10 7 ln(11.07/0.127)=0.337 10 3 ?/m (0.544 ?/mi).
Related Calculations. For a two-conductor bundle, GMR=(GMR c D) 1/2 and for a four-conductor bundle, GMR=(GMR c D 32 1/2) 1/4. In each case, D is the distance between adjacent conductors.
For a two-conductor bundle, GMR=(GMR c D) 1/2, and for a four-conductor bundle, GMR=(GMR c D 32 1/2) 1/4. In each case, D is the distance between adjacent conductors. For an n-conductor bundle as depicted in Fig. 9.7, GMR=( n GMR c A n 1) 1/ n, where A is the radius of the bundle. Similarly, for an n-conductor bundle, r equiv=( n r A n 1)
Products & Services
Topics of Interest
Lawrence J.Hollander, P.E. Dean of Engineering Emeritus Union College POWER SYSTEM REPRESENTATION: GENERATORS, MOTORS, TRANSFORMERS, AND LINES The following components comprise a simplified version...
INDUCTANCE OF SIX-CONDUCTOR LINE Calculate the per-phase inductance of the transmission line of Fig. 9.5 where the conductors are arranged in a double-circuit configuration. Figure 9.5: Line...
PER-PHASE INDUCTIVE REACTANCE Calculate the per-phase inductive reactance per mile (1600 m) for a three-phase line at 377 rad/s. The conductors are aluminum conductors, steel-reinforced (ACSR)...
INDUCTIVE REACTANCE OF TWO-WIRE TRANSMISSION LINE Calculate the inductive reactance of 10 mi (16.1 km) of a two-conductor transmission line (Fig. 9.1), where D=8 ft (2.44 m) and a=0.1 in. (2.54 mm)...
INDUCTANCE OF TWO-WIRE TRANSMISSION LINE Consider a transmission line consisting of two straight, round conductors (radius a meters), uniformly spaced D meters apart, where (Fig. 9.1). Calculate the...