Transfer function mapping for a grid connected PV system using reverse synthesis technique

Mathematical modeling of power electronic converters is a historical problem. Numerous efforts have been documented in literature to model different converter topologies and their control schemes since the 1940s. Traditional modeling approaches avoid transfer function derivation due to high degree of nonlinearity involved with the power converter's switched operation. In this paper, a simple transfer functions for a grid connected PV system is derived. First an ideal transfer function is derived from the steady state input and output relationship of ideal converters. Then, it is compared with the non-ideal model of a practical converter. Using this technique, it is possible to find generalized modules to represent a complex power converter, and it is possible to deduce new converter topologies using the reverse mapping.