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Theory Section 15: Load Characteristic of Transmission Line

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FieldValue
SourceTheoretical Elements of Electrical Engineering
Year1915
Section IDtheoretical-elements-electrical-engineering-section-15
Locationlines 5832-6221
Statuscandidate
Word Count833
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15. LOAD CHARACTERISTIC OF TRANSMISSION LINE 70. The load characteristic of a transmission line is the curve of volts and watts at the receiving end of the line as function of the amperes, and at constant e.m.f . impressed upon the generator end of the line. Let r = resistance, x = reactance of the line. Its impedance z = -y/r2 + x2 can be denoted symbolically by Z = r + jx. Let EQ = e.m.f. impressed upon the line. Choosing the e.m.f. at the end of the line as horizontal com- ponent in the vector diagram, it can be denoted by E = e. 86 ELEMENTS OF ELECTRICAL ENGINEERING At non-inductive load the line current is in phase with the e.m.f. e, thus denoted by 7 = i. The e.m.f. consumed by the
... The load characteristic of a transmission line is the curve of volts and watts at the receiving end of the line as function of the amperes, and at constant e.m.f . impressed upon the generator end of the line. Let r = resistance, x = reactance of the line. Its impedance z = -y/r2 + x2 can be denoted symbolically by Z = r + jx. Let EQ = e.m.f. impressed upon the line. Choosing the e.m.f. at the end of the line as horizontal com- ponent in the vector diagram, it can be d ...
... and watts at the receiving end of the line as function of the amperes, and at constant e.m.f . impressed upon the generator end of the line. Let r = resistance, x = reactance of the line. Its impedance z = -y/r2 + x2 can be denoted symbolically by Z = r + jx. Let EQ = e.m.f. impressed upon the line. Choosing the e.m.f. at the end of the line as horizontal com- ponent in the vector diagram, it can be denoted by E = e. 86 ELEMENTS OF ELECTRICAL ENGINEERING At non ...
... E0 and P = 0, as is to be expected. At short circuit, e = 0, 0 = \/#o2 — xzi2 — ri, and ° ; (6) X' that is, the maximum line current which can be established with a non-inductive receiver circuit and negligible line capacity. 71. The condition of maximum 'power delivered over the line '• i| f-* on that is, substituting (3): '! V#o2 - x*i* = e + ri, and expanding, gives e* = (r2 + x2) i2 (8) = z2i2; hence, e — zi, and - = z. (9) ...
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  • Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
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