This is the simple explanation (simple and short theory) about DC to AC inverter by Electronic Department, Nothern Alberta Institute of Technology. You will find the information about inverter diagram design, inverter transformer design, transistor selection for inverter and more inverter theory which may be you need for your inverter design reference.

Inverter is the device, scheme, or system that creates alternating current by connecting the DC source. There is another way to define: an inversion – the inverse function of rectification. Rectifiers convert alternating current into a constant, and the inverters on the contrary, make the DC voltage to AC.