1000 watts inverter, if done with simple bipolar power transistors is difficult, and requires large energy storage in inductors and capacitors. Switched-Mode Power inverter technology is now very developed, and used for AC motor control in place of DC servo-motors. It includes includes power factor correction when driving inductive loads (like motors). It is unlikely to be able to deliver 1000W good sine wave, and efficiently with a simple push-pull drive using 2N3055s.
Modern switch-mode inverters work at higher frequency, tens or hundreds of KHz, using power FETs or IGBT switching semiconductors. I have used 12.5kHz on 70kW motor-generator drives, and returned excess energy to the supply.
There are many such circuits, and now, it is possible to regulate the inverter to synthesise a psuedo-sine wave which will become a clean sine-wave when the high frequency switching components are filtered out. This is how wind-turbines can synchronously deliver energy to the power supply grid. I have a portable generator where the machine no longer has to run with a heavy flywheel, at a fixed speed, to make a sine-wave. The electronics delivers the sine-wave, and the motor alters its speed to suit the load.
There are lots of example circuits, and free designs from makers of these power semiconductors, and especially from manufacturers of integrated SMPSU controllers. Google or DuckDuckGo is your friend here.
Especially, visit the Linear Technology website, and download LTSpice IV. This is an excellent (free) general purpose SPICE simulator, with example designs based on that company's products, but it is not restricted to that. You can use it to design and simulate even a 2N3055 push-pull inverter, or something using another supplier's power semiconductors. Let the blow-ups happen in software
Hope this helps