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BQ25892EVM-664: VSYS Stability using HP 6063B Electronic Load for Battery

Part Number: BQ25892EVM-664
Other Parts Discussed in Thread: BQ25892
I have a technical question about testing the BQ25892 EVM.  
My test equipment choices are limited.  All I can find to simulate the battery is an HP 6063B load, which does have a Constant Voltage mode.  If I set the load voltage below 3.0V and above 3.55V, it seems to work just fine.  When the load voltage it is set between 3.0V and 3.55V, the output seems to oscillate, both in current and voltage at the battery and VBUS input.  It seems as if the charger is turning on and off.
I think I have figured out what it is related to, but don't know what the correct fix is.  I assume if it was a real battery, this would not happen.  I think the VSYS regulator, which defaults to 3.5V for system voltage, is changing between using the buck to create the system voltage and the battery providing the system voltage.  If I am below 3V, I am typically at a very low charge current.  When I am above 3.55V, I am above the threshold and it seems to work fine.  
I changed the minimum BQ25892 system voltage to be 3.0V and it works fine at all voltages.  This allows me to test, but is not the long term configuration.  Again, if I had a real battery, a battery simulator or a 4-quadrant power supply, I doubt this would be happening.
Are there any suggestions to modify my existing HP 6063B setup to allow for testing of the system at all VSYS voltages (primarily 3.5V to 3.7V)?  
What is recommended battery "simulator" to use?  Specific equipment model numbers are appreciated.