Perfect circuit for it! its just what I have been using for years.
On that H bridge you should have some reversing diodes on the switches to conduct voltage backwards for when the source and drain voltage potential reverses on each alternating half of the cycle. Thats why I love IGBT's, most have a reverse diode built right in. Put a small capacitor across DC side of the H-bridge and put a diode in the 12 volt side so the power can go to the H bridge but not back to the power source and you have it!
You just have to switch the H bridge in phase with the lines and you are ready to go.
If you have been reading what I have posted about the phasing you are aware that the switches need to be off just before the wave reaches the crossing point from positive going to negative going. and back again. Basic GTI 101. I posted some basic info on control transformer selection before. It relates to turning on and off the switching cycle of each half of the wave at around 20-30 % of peak volts. Thats the dead band area to keep the switches from trying to carry theoretical infinite current as the sine wave drops to zero and produces no back emf.
Plus you can hide that pesky little phase lag problem in there too if your drive circuit is transformer based.
You dont actualy need to have the input voltage above the line voltage durring the full cycle to get goo grid feedback. If you turn your switches on at say 3 volts in referance to having a 12 volt AC power side transformer you will get a fair amp draw but it drops quickly as the wave voltage rises. As soon as the sine wave reaches your 12v input your amps are at 0. If the transformer is a 12ac its peak volts will be 16.96. That top 4.96 volts put your in that reversed state. thats why the reversing diodes are needed. and the blocking diode too, so the peaks cant dump backwards to your power source.
As the sine wave drops your switches will start conducting and the current will rise again starting from that 12v equilibrium point and keep going up untill you turn them off. hopefully around that 3 volt point. Then repeat this all again for the other half of the wave.
Factor in real life things like the winding resistance, and the counter emf produced from the 12 volts feeding into the transformer and starting the magnetic field sturation climbing faster than the sine wave coming in from the other side of the power line and you have a basic current limiter built right in.
No high speed PWM wave form shaping required. Just move your on/off switching points higher or lower in reference to the 12 vac sine wave!
Put the right size power factor correction capacitor on the line side, feed the power through a basic LC tank filter from a power supply of similar wattage and voltage and you have clean Ac going backwards! no harmonics and line hash!
Before anyone jumps all over me with their Mathamatical Monkey Poo relating to theoretical harmonics and line spiking stuff, build it and run it with a O-scope and a spectrum ANNALizer on the line side.
Then tell me where you see all that stuff! I still cant see it on mine.
Bet that iron core transformer and power factor correction capacitor make a real good LC tank and filter that loves 60 hz and not any other frequency! Plus that small inline filter takes the high frequency stuff and knocks it down if there is any.
Put the O-Scope and spectrum ANNALizer on the switch side, then I will happily agree with all that MMP! Good chance you will see all the stuff you are so worried about. I know its there I can easily see it on my O-scope. The switch side is a messy sort of square wave shape! Line side is a good normal sine wave!
Unless you are really pounding on that transformer with excesive input volts and amps. But then you will pay for it! you will be grossly over driving the VA limit of the transformer and then here comes the smoke!
15 KW factory.
Yea, I could run my house for about a decade for what they cost too.
Home built thats more in the 15-20 cents a watt range. If your good at hunting for those parts from used commercial devices.
My local scrap yard gets transformers from time to time and they sell them at used electric motor price. about 55 cents a pound. my 15 kva 120/240 : 240/480 was about $220. It was a little dirty and roughed up but high potted good and no bad hum when its powered up.
Massive IGBT's, 1200 volt 600 amp are $25 to $100 on eBay for good used or new old stock. but availabliity varies. I paid $160 for 4 plus shipping of course, last summer for that size of toshiba IGBT's.
My control system is a Teco PLC system. New at B&B electronics for under $200. Software is free online at their website.
Check it out you can start writing your own control programs before you ever get the controller or the GTI built!
Now does 15KW sound like its more in a sane persons price range?