If a motor is rated to operate in star connection at it's rated voltage, then you must not connect in delta at that same voltage. Changing the conection between star and delta effectively changes the voltage rating of the motor. When connected in star, the voltage accros one winding is the voltage between phase and neutral, or in other words, the line voltage divided by the square root of 3. (1.732) When connected in delta, the voltage across a winding is the full line voltage.
The motor is designed to operate a a particular flux in the iron and this is a function of the voltage acroos a winding. The voltage rating of a delta connected motor increases by root 3 (1.732) when connected in star, and the voltage rating of a star connected motor reduces by the same proportion when connected in delta.
If a motor is operated above it's design voltage, the iron becomes overfluxed, the current rises dramatically and the motor is damaged.
If a motor is operated below its design voltage, the effective power rating of the motor is reduced.
A Delta designed motor, started in star connection will draw one third of the Delta current and produce one third of the delta torque while starting.
Do not operate a motor connected in delta at the star rated voltage!! Mark Empson