In a 3 phase, star connected system, the phase to phase voltage and phase to neutral voltage is calculated using root 3. That is, phase to phase voltage is root 3 times phase to neutral voltage. Also to calculate three phase power the voltage and current is multiplied by root 3 to obtain 3 phase power with unity power factor.
AnswerIf you vectorially-add two quantities that are displaced from each other by 120 degrees, then the resulting quantity will be 1.732 (i.e. the square-root of 3) longer. Try it for yourself.
So, for a wye (star) connected system, the phasor (vector) sum of two phase voltages will result in a line voltage that is 1.732 times larger than a phase voltage. For a balanced wye (star) connected load, the phasor sum of two phase voltages will result in a line current that is 1.732 larger than a phase current.
5000 volt
1.73 is the square root of the whole number 3, (rounded off to two decimals), and is used in virtually all 3 phase calculations.
The figure 1.73 is the results of the square root of 3. 1.73 is used in three phase calculations. The number is also used on three phase four wire systems. To find the coil voltages of a wye system 1.73 is divided by the phase voltage. An example, three phase 480 wye system. 480/1.73 = 277 volts
A delta connected appliance can be connected to a 3-phase system by leaving the neutral unconnected. The appliance must be properly earthed.
It is in some places, but not generally because it requires at least 3 wires, and can only transmit 2/3 of the power of an equivalent 3 wire, 3 phase system.
6350.8 volts AC rms. The phase to earth voltage is ( square root(3) ) x lower than the phase-phase voltage on a 3 phase system.
5000 volt
The star point or wye voltage of a 480 volt three phase four wire system is 277 volts. The 480 voltage is divided by the sq root of 3 (for 3 phases). The sq root of 3 is 1.73. 480 volts/1.73 = 277 volts. The same formula is used on all three phase four wire systems. 208 volts /1.73 = 120 volts, 416 volts /1.73 = 240 volts, 600 volts / 1.73 = 347 volts.
It is the square root of 3. Multiply 1.732 to 120v. and you get 208. which, on a three phase system, is the voltage from line to ground.
A 3 phase system needs only to use 3 or 4 conductors, as against 6 conductors if it were 3, single phase conductors The amount of copper used in a 3 phase is much less than what would be needed in a single phase system carrying the same current, this reduction in copper allows for weight reduction and cost savings. The power losses in a 3 phase system are much less than in a single phase system.
A 3-phase 3-wire system provides a single-phase supply between any two wires. On a 3-phase 4-wire system with one line out but the neutral intact, the system is described as a faulty 3-phase system but it would allow a 3-phase motor to start, but not run properly. True 2-phase systems with the voltages in quadrature (90 degrees or one quarter cycle apart) were used in the 19th century but not since then because 3-phase was found to be better.
1.73 is the square root of the whole number 3, (rounded off to two decimals), and is used in virtually all 3 phase calculations.
3 phase system has more power than a single phase system
The figure 1.73 is the results of the square root of 3. 1.73 is used in three phase calculations. The number is also used on three phase four wire systems. To find the coil voltages of a wye system 1.73 is divided by the phase voltage. An example, three phase 480 wye system. 480/1.73 = 277 volts
A three phase four wire system allows for two voltages from a single three phase transformer. The transformer configuration is a wye or star connection. It is used in commercial and industrial applications. Apartment buildings are now starting to use a three phase four wire service distribution system. Some wye connection voltages are 120/208 volts, 480/277, and 600/347. The lower voltage is derived from the sq root of 3 divided into the three phase voltage.
A delta connected appliance can be connected to a 3-phase system by leaving the neutral unconnected. The appliance must be properly earthed.
The phase voltages in a balanced 3-phase system are equal to the line voltages divided by the square root of 3. Therefore, if the line voltage is 100 volts, the phase voltage would be approximately 57.7 volts.