I WANT TO KNOW THAT IN AN IRON CORE TRANSOFRMER INVERTER DESINE WHAT FREQUEENCY OF TRIANGULAR WAVE WILL BE MODULETED WITH THE 50HZ SIGN WAVE REFERENCE?
"THANKS YOU BUT I DO NOT THINK YOU UNDERSTEND MY PERBLEM"
Wanna bet?
But it is time for you to stop shouting, and start to talk about sinus waves and not SignWave or singsign.
You also have to present more information about exactly what transformation you want to do.
There are a large number of possibilities.
It is possible to do low-frequency transformation using 50Hz (or 60Hz) low-voltage square-wave, sinus-wave or modified square-wave input to the secondary winding a normal iron-core mains transformer, and then pick up 110V or 230V semi-sinus waveform on what is normally the primary winding. The quality of the output waveform very much depends on the input waveform, and how much losses you will accept in the transformer and transistors, for example if you will saturate the iron core or not.
It is also possible to use a smaller transformer built for high-frequency use (for example with a ferrite core), by supplying a constant-frequency (varying pulse width) or varying freqnecy (constant pulse-length) square wave signal to one winding of the transformer. This solution normally also requires a feedback loop, to let the driver side adjust frequency or pulse length depending on the load on the secondary side.
If this makes sense to you, then you would probably not need to ask the question you did ask, but would instead be asking about how to compute the required size of the transformer core, required filters to block the high-frequency noise on the output or how to best drive the power transistors to make sure that they have very short on/off times.
If this doesn't make sense to you, then I don't think it will matter what answers you get, since you will probably not be able to build a working, reliable and safe power inverter. You did realize that the answer to any "what frequency" question relies on a number of parameters that you have not supplied, and may possibly not know well enough to be able to supply. Why do I say that? If you did understand the parameters, then you would also understand how to read the datasheets for the transformer, and the material of the transformer core, and deduce the answer yourself.
Or even Sine Wave?
"Sine" and "Sinus" both being short for "Sinusoid" (or "Sinusoidal")
en.wikipedia.org/.../Sinusoidal
Of course, nobody can understand your problem if you can't (or won't) explain it clearly...