If the 3PH disc will not penetrate the ground, then the draft control will not be triggered. It takes quite a bit of compression of the top link to cause the draft control to engage even if the operator's lever is set to sensitive and the top link is attached to the tractor at the hole with the greatest leverage.
For both a pull (offset and tandem) and a 3PH disc (tandem) try different angles of the gangs if there is an adjustment. In some soils and conditions one angle works better than another might.
Increased weight on the disc sometimes helps, but it will also increase stresses on the bearings and disc structure.
If it is virgin ground, or this is the first discing of the year, sometimes there is nothing than can be done besides going over the ground again and again in a checkerboard pattern.
A box blade with rippers can be a help. Put the rippers down to engage the ground, tilt the box a bit forward, and go at it. If the rippers won't penetrate then you'll just have to wait for a rain to soften the soil. Using this method will benefit from the use of the draft control if there is a tendency to bog down. Then you can go at the disturbed ground with a disc.
I don't take on any new discing jobs this time of year in the California Central Valley. I'd have better luck discing the freeway. Even rippers just scrape along the surface although my box blade is large and quite heavy.
However, previously plowed or disced ground is pre-loosened and works up well.
What would be a great help is a photo of your disc and set up. Include a photo of the problem ground as well. It is a little difficult to just guess a solution without knowing more specifics.
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