An improved linear-motor-operated conveying system is distinguished, inter alia, by the following features: the conveyed web can be fixed to the nipper part, as a result of which a conveyed web plane is defined, said film plane being arranged at a height with respect to the motor working side of the single linear motor drive or of the more powerful linear motor drive in the case of two linear motor drives, and said height being less than or equal to the length of the secondary parts on the conveying parts; the conveying system comprises either a) only one linear motor drive provided beneath the conveying part, or b) only one linear motor drive provided above the conveying part, or c) one linear motor drive arranged beneath and one arranged above the conveying part, the upper linear motor drive and/or the associated control system being configured in such a manner that the upper linear motor drive can only be operated with a maximum power of 75% in relation to the maximum power of the lower linear motor drive.