Okay, let me give this a try. The structural ego state model
refers to the structural source of that ego state as an established
pattern of thought, affect, and behavior. This model shows where
ego states come from: the Parent ego state is structured from
introjects of our parental / authority figures, the Adult ego state
is our integrated self in the here and now, and the Child ego state
is the first ego state to form and represents the patterns of
thought, affect, and behavior we used as children.
The functional ego state model refers to the function of each
ego states, what each one of them does. This is the model that
distinguishes between the double functions of the Parent (Critical
for protection, management, system of values, and Nurturing for
permission, encouragement, assistance) and of the Child (Adapted -
with a role in socialization and relation to the rules and Free -
for emotional expression, creativity, etc.) In this model, we see
the Adult ego state as the integration of all ego states,
realistically adapted to the here and now, focused on thought and
problem-solving.
Basically, in my understanding, the difference is that each
model explains a different aspect of the ego states (structure and
function respectively - hence the name of the models.)
Some resources on the subject:
http://www.functionalfluency.com/articles_resources/The_Graphics_of_Ego_States_by_Servaas_van_Beekum_1.pdf
and
http://www.ta-psychotherapy.co.uk/ego_states.htm