You cannot obtain a three-phase supply from a single-phase system without using some sort of rotary converter.
There is no equivalent they are two different things.
Multiplying single-phase power by 1.732 (which is the square root of 3) gives you the equivalent three-phase power because in three-phase systems, the power is not simply additive. The phases are 120 degrees apart, so to accurately calculate total power, you need to account for the phase shift between them. The square root of 3 helps adjust for this phase relationship.
A rotary phase converter is commonly used to convert a single phase electrical power source to three phases. This allows you to use three phases instead of one.
A three-phase motor will not start if one or two phases aren't connected. If while running one or two phases "drop out", it will continue to run for awhile, but will eventually burn out, unless connected to a motor saver.
If you have three adjacent houses each with a single-phase supply taken from different phases in a three-phase cable in the street, the total power is equal to the sum of the powers in each of the three phases.
Bcoz in single phase if supply is interrupt or any trouble there is no power .but in 3 phase if 1phase supply gone we can manage it by other 2 phases
A three phase motor will not operate on single phase. The motor will run on two phases but will not start. Motors running on just two phases is called single phasing. The line current of the two legs will go high and it is this factor that the motor controller uses to trip the contactor to open the circuit and isolate the motor from the power source.
One common method to convert single phase to three phase power is by using a rotary phase converter. The rotary phase converter works by using a single-phase power source to generate a third phase, creating a balanced three-phase output. It typically involves using capacitors and an electric motor to create the additional phase needed for three-phase equipment.
A 3-phase motor will not run on single-phase power or if one of the three phases is disconnected. If the motor is not running, there is no back-EMF generated in the coils, and they draw excessive current, thus overheating.
The capacitor is used to create a second phase from the single phase power source and it is the interaction between these two phases that causes the motor to turn.
A 3-phase meter measures the sum of the power in the three phases, so if power is drawn on one phase only it will still be correctly measured.
To use a single/one phase motor instead of a three phase motor is possible if you have a three phase power supply as you will only need to tap one of the three phases together with neutral and an earthwire, however to use a three phase motor instead of a single phase will require the provision of three phase power supply.