You know, I used to make a lot of money working on engine generator controls when the engine was "good".
A few more specifics would help. Are you using 2301A load sharing governors? Or 3201A speed controls with another load share module? If so, what type?
Are the governor settings for Gain, Reset and Compensation about the same?
Is someone there knowledgable on how to adjust load gain on the load share portion of the governors?
Ideally the load gain voltage should be 6 VDC at full rated engine load. This is proportional so if you put 50% load the signal should be 3 VDC.
When the engines indicate equally sharing electrical load, do they have the same actuator position, manifold pressure and throttle angle? If not they are not properly tuned.
How are you determining "engines OK"? How long has problem been occuring? How long since major maintenance, like top end or overhaul.
Are these older 3412's with the magneto in the vee of the engine? This was a typical failure mode of the magneto due to excessive heat, at higher loads the engine would start to miss, when it got bad it would backfire and may blow the carburator apart.
Other possible causes of higher load instability,
Carburator diaphragm guide wear
Throttle shaft binding in bearings (worse with needle bearings)
Gas fuel regulator internal linkage worn (lever and post interface, or valve stem binding in housing)
Wastegate shaft binding
Intermittant ignition component failure, such as magneto, coil, spark lead or extender and spark plug.
Improper valve and bridge adjustment
Improper air/fuel ratio setting
If these are 60Hz machines they are likely rated at 325 or 375 ekW. What is your engines ratings? Do they have catalytic convertors?
Any otehr details you have can help provide better answers.
Hope that helps,
Mike L.