ELoyRD,
The B&G Technical Manual TEH-910A discusses many issue and or concerns associated with automatic operation of a Variable Primary Flow (VPF) system.
Are you concerned that the primary pump will continue to run when the chiller shuts down and the chiller automatic control isolation valve closes?
If this is the case, the sequence of controls need to be programed to prevent this from happening.
B&G Technical Manual TEH-910A indicates that:
"Minimum Chiller Flow"
"At very low loads, the pumps have slowed and de-staged.
It's possible that only one of the pumps in parallel may be able to provide the required part load flow.
But if all the evaporators are open to the reduced below its minimum.
Therefore, a decrease in demand for chilled water must also be accompanied by a reduction in the number of operating chillers. Turning off, or “de-staging” a chiller compressor is not as simple as opening a set of contacts.
Careful analysis is required in order to determine the part-load flow rate at which to de-stage a chiller, since isolating one chiller will increase the flow to the remaining chillers.
A rapid increase in flow during this transition must be avoided by using slow closing valves on the de-staging chiller.
Chiller plant operators should be involved in order to reduce the possibility and consequences of a failure in the automatic process.
"System Complexity"
"...the VPF system depends on accurate, timely, automatic sensor inputs at several points in normal operation. The selection, installation, periodic calibration and servicing of those sensors might be complex..."
VPF system control is extremely complex.
Your doubts are well founded.
If this is a new system, you may want to consider a Variable Primary Flow-Variable Secondary Flow (VPF-VSF) system.
See ASHRAE Journal October 2014 Article " Simplified Chiller Sequencing" for an alternate approach to a VPF System.