I fear it's not so easy to derive a "typical" impedance characteristic of a grid connected power converter. I presume, you're referring to a grid connected inverter or a bidirectional converter with "active front end" (AFE), in other words a PWM bridge connected through an inductor or LC low-pass filter to the grid. Its impedance is determined by the filter as well as the control loop.
Without the control loop effect, the impedance can be modelled in a first order as voltage switching PWM bridge (acting as a short) in series with the grid inductor/filter. Within the control loop bandwidth, the PWM output voltage is steered to follow the grid voltage, raising the port impedance. The impedance at the fundamental grid frequency will be finally determined by the control algorithm and actual converter operation point. Instead of constant R, as suggested in post #2, constant P or constant I are more likely modes.