Permanent magnet system and method of forming thereof

A method of forming a permanent magnet system, the method comprising:

• determining one or more types of geometrical parameters for forming an array of magnet ring pairs comprising a first subarray of first magnet rings and a second subarray of second magnet rings spaced apart from the first subarray of the first magnet rings along a longitudinal axis;
• and
• forming the array of magnet ring pairs based on the determined one or more types of geometrical parameters, wherein
• said determining one or more types of geometrical parameters for forming the array of magnet ring pairs is based on a genetic algorithm, and
• the one or more types of geometrical parameters for the array of magnet ring pairs comprises one or more types of geometrical parameters for each magnet ring pair of the array of magnet ring pairs,
• the first magnet rings of the first subarray are arranged in series along the longitudinal axis and immediately adjacent first magnet rings of the first subarray are in contact with each other via planar surfaces thereof facing each other, and
• the second magnet rings of the second subarray are arranged in series along the longitudinal axis and immediately adjacent second magnet rings of the second subarray are in contact with each other via planar surfaces thereof facing each other.