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The goal of this contribution is to show the capabilities of relatively fast computation techniques which can be advantageously used in design optimization procedures of electrical machines. The computation of cogging torque, for rotating machines, and force, for linear machines, being very sensitive to the accuracy of used models, its estimation is then used as an indicator for the efficacy and correctness of these techniques. A finite-element (FE) model will be used as a reference model. The first technique is based on a reluctance network (RN) generated from a mesh of studied structure. The second technique consists of coupling RNs obtained from a mesh of some parts of studied structure and an analytical model of magnetic field in other parts. These techniques are used for the modeling of a linear tubular flux-switching permanent magnet (LTFSPM) machine. LTFSPM machines are relatively complicated to model, and their modeling using these two techniques has never been reported yet in the scientific literature. The two models are both validated by comparisons with FE analyses. [ABSTRACT FROM AUTHOR]