In a way it turns the star system you're on to a delta. Vl (line voltage) on a star is 230V and Vp (phase voltage) is 400. On a delta however Vl and Vp are the same.
A star winding has a neutral at star point. The point of the neutral is to provide earth potential (0V) to eliminate an unbalancing between phases, this gives a potential difference between line and neutral of 230V and a potential difference between line - line of 400V. A delta system has no neutral hence why line - line is the only potential difference you can measure (discounting of course line - earth).
Not enough time to go into a huge amount of detail but if you understand the fundamental difference between star and delta windings this should make sense.
Edit: Just realised you don't know much 3P theory. Go on wikipedia and look at the difference between star and delta windings. You don't really have to know the maths to understand it a little, all you need to know is that without a neutral connection on the suppliers side you only have the potential difference between phases, which of course we all know is 400V. All loads on any other phase, after the break but before you essentially turn their neutral into a phase. As do you for them. One thing to bear in mind is that the voltage will only rise according to the unbalancing of each phase.
In short, if this sitution occurs, it is a disaster! It is rare but extremely dangerous.
Edit 2: Just re-read that and realised I'd make a crap teacher
Sorry to the OP if I've only confused you more!