Systems and methods for controlling head tension

A wireline system, the wireline system comprising:

• a winch;
• a tool string;
• a tool driving equipment operatively connected to the tool string;
• a cable operatively connected to the winch and the tractor;
• and
• a head tension control system including:
• a memory storage including a non-transitory, computer-readable medium comprising instructions, and
• a computing device including a hardware-based processor;
• wherein the hardware-based processor is configured to execute the instructions to carry out stages comprising:
• determining a head tension based on a speed of the tractor and a cable speed of the cable as a function of an operation of the winch,
• determining a head tension regulation error based on a comparison of the head tension and a target head tension, and
• operating one of the winch and the tractor according to an operating zone including the head tension regulation error,
• wherein the operating zone is defined by:
• a first range of values for a difference between the speed of the tractor and the cable speed, and
• a first range of values for a difference between the head tension and the target head tension.