Hi Ton:


>   The product is supplied with a DC power adapter 
>   which is current limited, provides overload and 
>   short circuit protection and is specified to accept 
>   an overload or short circuit condition continuously.

This description indicates the DC power adapter is
adequately protected against any load condition.

>   Assuming that the rated current for a product is 
>   1.0A, and assuming that the fuse rating is 
>   determined at 1.5A, then a rating of the power 
>   adapter of anything over 1.0A would seem to be 
>   sufficient for operation and protection.

Yes, although the rating of the power adapter is not
related to the rating of the product fuse.

>   However if the rating of the power adapter does not 
>   exceed 1.5A, the fuse would probably never blow. 

There is no way to determine this from the data you
provided.  

As a rule-of-thumb, low-power power adapters will 
output about twice rated current into a fault before
the adapter folds back or shuts down.  If this rule-
of-thumb applies to your 1-amp power adapter, then 
the adapter output into a fault will be about 2 amps 
continuous.

Indeed, according to the Littlefuse data sheet for 
a 3AG 312-series 1.5 amp fuse, a 1.5-amp fuse will 
never operate at 2 amps (at room temperature).

See http://www.littlefuse.com/PDFs/Products/312-318.tc.pdf

However, the fuse must operate in less than 1 minute
at 3 amps (200% of rated current).

If your adapter is rated 1.5 amps, then it would
output 3 amps into a fault, and the fuse would 
operate. 

>   Is this acceptable? Is there a rule of thumb for
>   the rating of a fuse and for a power adapter? 

There is NO RELATIONSHIP between rated current of a
product (whether an adapter or the product itself) 
and rated current of a fuse.

The rated current of a fuse is based on FAULT current,
not based on rated current of an adapter or of the
product itself.

Think of it this way:  The fuse rating sets the maximum
CONTINUOUS FAULT CURRENT.  At this current, the product
should be safe, i.e., meet all of the safety requirements
applicable to the product.  

For currents exceeding the fuse rating, the fuse sets
the MAXIMUM DURATION of the fault current.  The product
must meet all safety requirements until the fuse 
operates.


Best wishes for the New Year,
Rich





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