Yes it would work pretty well but it might not meet its accuracy specification.
If, by 'unit price', you mean the cost per kilowatt hour, then there is normally no difference between the cost of energy supplied whether by single-phase or three-phase supplies.
'Balanced loads' apply to three-phase a.c. loads. A three-phase kilowatt hour meter will measure both balanced and unbalanced loads, when correctly connected.
Some commercial grills have the ability to be wired up single or three phase. Find the grille's nameplate and see if it can be done. This job is best done by an electrician as resistance coil ends have to be found and series or paralleled together depending on what the voltage is. I have done this once on an electric kiln and it took about an hour. To save you electrician costs have the manual of the grill ready so that the connection can be determined right away.
Single phase power from a L-L voltage of 208 volts is calc'd: P = V(phase to phase) * I (individual phase current) / sqrt(3) Total power from all three legs is the above P * 3. P is in watts; continuous sampling will result in watt hour measurements; 1000 x this is kWh's.
Three phase electricity is generally used when you have a high power device, such as a motor, that benefits from the three phase design. Since this involves high power, there will be no "portable and small" device to convert from single phase to three phase. Certainly, you could have a small electronic inverter, or a motor generator set, but to make sense, you are not talking "portable and small".
Two single phase meters are not needed. A three phase meter is manufactured and is used when installing a three phase electrical distribution.
If, by 'unit price', you mean the cost per kilowatt hour, then there is normally no difference between the cost of energy supplied whether by single-phase or three-phase supplies.
'Balanced loads' apply to three-phase a.c. loads. A three-phase kilowatt hour meter will measure both balanced and unbalanced loads, when correctly connected.
Your idea is quite impractical.
At 50Hz it's 50x60x60 = 180000
Only watts (power) can produce work (energy) because of the phase relationship of the voltage and current in an alternating current, electric power system. With watts, the portion of the current and voltage that are in-phase with each other can do work. Vars, on the other hand are volt-amps reactive, which are out-of-phase with each other. Since Vars cannot do work, their existence in the electric power system is parasitic. The reactive current which flows in a power line, for instance uses a portion of line capacity, and also causes heating (I^2 * R power loss) due to the inherent resistance of the conductors. So, in the construction of a simple electromechanical meter, measuring Watt-hours or Var-hours, the respective current and voltage coils used to drive the rotating disk are situated to produce torque. For a Var Hr meter, the coils are rotated 90 degrees relative to each other to counter the lagging or leading phase shift and thus produce torque.
The meter constant represents the number of pulses will generated per hour nothing but after n number of pulses the meter reading is incremented by one.Read more: What_is_the_meter_constant_of_energy_meterAnswerAn energy meter measures the quantity of energy used by an installation. It does this, by monitoring the supply voltage and the in-phase component of the installation's load current.
convert 1bar to meter cube per hour
0.0002777 meter per second
You divide by 3600 - since an hour has 3600 seconds.
Some commercial grills have the ability to be wired up single or three phase. Find the grille's nameplate and see if it can be done. This job is best done by an electrician as resistance coil ends have to be found and series or paralleled together depending on what the voltage is. I have done this once on an electric kiln and it took about an hour. To save you electrician costs have the manual of the grill ready so that the connection can be determined right away.
1 meter per second = 3.6 kilometers per hour