lfg2007
I agree with imok2 and ozmosis in that I don't believe that your description of the fault is correct. The condenser (heat sink) water would normally be warmer than the chilled water. The VFD temperature wouldn't have much to do with the condenser temperature except if the VFD was in an overheated space normally cooled by your centrifugal chiller.
Carrier doesn't put too much information on their centrifugal chiller line on their website (I have looked recently) but if their centrifugal chiller line is similar to the ComfortLink 30HXC (screw compressor series) then there is an interlock for the condenser water pump (see page 58 of form 30HX-8PD). I interpret this drawing to mean that if the chiller shuts down it will stop the cooling water flow. Also the fan on the cooling tower is usually either controlled by an AquaStat (on/off control) or a wet-bulb sensor which controls the degree of approach of the cooling tower water to the wet-bulb (which is a better control scheme). According to page 21 of the same form the unit will not start if the condenser water is 55 deg. F or below and once operating should be maintained above 70 deg. F. I believe that this is what caused the failure to start, low condensing water temperature. The 30HXC controller can control a tower pump VFD (don't go below minimum flow for the cooling tower), a bypass valve, flow regulating valve (don't go below minimum condenser water flow). I would actually recommend controlling the cooling tower fan speed with the same VFD that controls the degree of approach mentioned above. Just back off the fan speed if the cooling tower water gets too cold.