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In textbooks, while explaining how the inverter functions, they specifically mention the type of load on the inverter (R, RL, RC or RLC). The switching duty of the transistors changes according to the type of load and values of load components.

e.g. To get square wave ac output in a full bridge VSI feeding a purely inductive load, the transistors conduct for half the time period and freewheeling diodes (transistor body diodes) conduct for the other half.

If the load is RL type, diodes conduct for a time corresponding to the RL power factor angle and transistors conduct for the remaining time (out of 360 degrees). If the load is purely resistive, the diodes don't conduct at all. Basically, what I understood from their analysis is that the switching duty of the transistors depends directly on the load power factor.

I get the mathematical analysis and why the switching duty should change with the type of load.

But is that what happens in practice? Does a practical inverter (can consider simplest and cheapest home inverter) have any smart arrangement to "know" the power factor of load as soon as it gets connected?

If no, how is transistor-switching managed in the inverter when the load pf keeps changing?Thanks in advance.