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 an electronic device or circuitry that changes direct current (DC) to alternating current (AC). The input voltage, output voltage and frequency, and overall power handling depend on the design of the specific device or circuitry. The inverter does not produce any power; the power is provided by the DC source.