It depends on the type of three-phase system. If it's a three-wire system, then the phase voltage is numerically equal to the line voltage. If it's a four-wire system, then the phase voltage is numerically equal to the line voltage divided by 1.732 -in your example, this works out to be 5.77 V.
Phase to Phase voltageCorrection to the above answer:There is no such thing as a 'phase-to-phase' or 'phase-to-ground' voltage. The correct terms are 'line-to-line' (or 'line voltage') and 'line-to-ground' (or 'phase voltage'). Transmission-line voltages are line-to-line (or 'line') voltages.
Nominal transmission and distribution voltages are line voltages. So '66 kV' is a line-to-line voltage. Note that there is no such thing as a 'phase-to-phase' voltage -the correct term is 'line-to-line'. Using the term, 'phase-to-phase', indicates a lack of understanding of a.c., which is not uncommon! Incidentally, the symbol is 'kV', not 'KV'.
For a transformer, the turns ratio always applies between its primary and secondary windings. So the turns ratio for a three-phase transformer is the ratio of primary to secondary phase voltages, not between line voltages.
The conductors that connect a three-phase supply to its load are called 'line conductors' or, more simply, 'lines'. The individual generator stator windings, transformer winding, or loads are called 'phases'. Lines and line terminals are identified by colours, letters, numbers, or combinations of letters and numbers. For example, A-B-C. Phases are identified by using the letters assigned to the line terminals between which the phases are connected, e.g A-B, B-C, and C-A. Voltages measured between lines ('line-to-line') are termed 'line voltages', and currents that pass through the lines are called 'line currents'. Voltages measured across a generator's windings, transformer windings, or individual loads, are called 'phase voltages', and the currents that pass through these are called 'phase currents'. For a three-phase, three-wire, system, the phase- and line-voltages are numerically-equal to each other. For a three-phase, four-wire, system, the line voltage is 1.732 times larger than the phase voltage.
The Voltage produced by the generator will be like 3 sets of your home's voltage (assuming we're looking at an outlet and not the 220V at the brkr box).Each phase (sinusoidal wave) will be separated by 120 degrees, so when the 1st phase starts the 2nd phase will start 1/20th of a second later. The 3rd phase then starts 1/40th of a second later, and the 1st phase starts again 1/60th of a second later which is the beginning of the second set of sin waves. This of course is based on the N. American Frequency of 60 hertz which is 60 cycles (waves) per second.AnswerFor a three-phase, three-wire, system the line voltages will be identical to the phase voltages.For a three-phase, four-wire, system the line voltages will be 1.732 times the value of the phase voltages.
Phase to Phase voltageCorrection to the above answer:There is no such thing as a 'phase-to-phase' or 'phase-to-ground' voltage. The correct terms are 'line-to-line' (or 'line voltage') and 'line-to-ground' (or 'phase voltage'). Transmission-line voltages are line-to-line (or 'line') voltages.
The conductors between a three-phase supply and a three-phase load are called line conductors not phase conductors, and the voltage measured between them are line voltages, not phase voltages. In the case of a delta supply, the line voltages are numerically equal to phase voltages, but the name remains the same!I have to admit that many people call line conductors 'phase conductors', but many people also say 'irregardless' -that doesn't make it a real word!!
There is no 'total voltage' in a three-phase system. There are three line voltages and three phase voltages.
Nominal transmission and distribution voltages are line voltages. So '66 kV' is a line-to-line voltage. Note that there is no such thing as a 'phase-to-phase' voltage -the correct term is 'line-to-line'. Using the term, 'phase-to-phase', indicates a lack of understanding of a.c., which is not uncommon! Incidentally, the symbol is 'kV', not 'KV'.
Your question is not clear.There is no such thing as a 'resultant' three-phase voltage. There are three, separate, line voltages (i.e. voltages measured between line conductors) for a delta-connected supply, which are equal in magnitude to the corresponding phase voltages. For a balanced wye-connected system, there are three line-voltages (again, measured between line conductors) which are 1.732 larger than the three phase-voltages (measured between each line conductor and the neutral conductor). For an unearthed unbalanced three-phase wye-connected load (unusual, but possible), the figure of 1.732 doesn't apply; instead the relationship must be determined by vector addition.If your question means to ask how do you determine the line voltages of a wye-connected system, given a set of unbalanced phase voltages, then you must vectorially add the relevant phase voltages to determine the relevant line voltage, taking into account the sense, or direction, of each phase voltage.
For a three-phase, three-wire, system there are three conductors called 'line conductors', and there is a voltage between any pair of line conductors, so there are three voltages.For a three-phase, four-wire, system there are four conductors: three 'line conductors' and a 'neutral' conductor. So there are three line voltages (voltages between lines) and three phase voltages (voltages between any line conductor and a neutral conductor).
A two-phase system is archaic and you are unlikely to find it in use anywhere these days, so it is mainly of historical interest. A two-phase, three-wire system, consists of two phase voltages, displaced from each other by 90 electrical degrees, and a phase voltage which is 1.414 x phase voltage.A three-phase system consists of three phase voltages which are displaced from each other by 120 electrical degrees. In the case of a three-phase, three-wire, system, the line voltages are numerically equal to the phase voltages; in the case of a three-phase, four-wire, system, the line voltages are 1.732 x phase voltage.
For a transformer, the turns ratio always applies between its primary and secondary windings. So the turns ratio for a three-phase transformer is the ratio of primary to secondary phase voltages, not between line voltages.
A three-phase, four-wire, system consists of three 'hot' conductors which are called line conductors, and a neutral conductor, sourced from a wye (or 'star') connected alternator or transformer. For this type of system, line voltages exist between line conductors, and phase voltages exist between any line conductor and the neutral conductor.A three-phase, three-wire, system consists of three 'hot' conductors which are called line conductors, sourced from a delta (or 'mesh') connected alternator or transformer. For this type of system, the phases are connected between lines. Line voltages exist between line conductors, and these are numerically equal to the phase voltages.
If you can imagine a machine's three phase windings with a common point of connection, thus forming a 'star' shape, with each phase winding displaced from each by 120 degrees. The 'free' ends of the three phase windings are then connected, externally, by wires called 'line conductors', while the common point of connection (the 'star point') is (in the case of generators and transformer secondaries) earthed (grounded) and connected, externally, by a wire called the 'neutral conductor'.The voltages measured between any pair of line conductors are called 'line voltages', and the voltages measured between any single line conductor and the neutral conductor (i.e. across individual phase windings) are called 'phase voltages'. A line voltage is the vector sum of its phase voltages, making in 1.732 times the value of a phase voltage.
It depends how they are connected. If they are connected between line conductors then they are measuring line voltages. If they are connected across phases then they are measuring phase voltages.
There is no such thing as a 'phase-to-phase' voltage; the correct term is 'line-to-line' voltage. Whenever you mention a value of voltage for a three phase system, it is considered to be a line-to-line voltage unless it is stated clearly that this is phase voltage (line to neutral) voltage.(The reason that there is no such thing as a 'phase-to-phase' voltage is because phases exist between, or 'across', line conductors or between a line conductor and a neutral.) That is a world wide practice for electrical power engineers.