This paper addresses linear magnetohydrodynamic (MHD) generators of th
e Faraday and diagonal types with cryogenic saddle-shaped magnet syste
ms. Procedures are described for the calculation of the characteristic
s of MHD generator on the basis of quasi-one-dimensional analysis of M
HD processes in the generator channel with due regard for the dynamics
of development of the boundary layer on the channel wall and for the
two-dimensional calculation of the stressed-strained state of the wind
ing and structural elements of the magnet system in the approximation
of the theory of composite shells. The choice and partial optimization
of the parameters of MHD channel and magnet system involve the use of
methods of nonlinear programming. The results are given of the calcul
ation of the outlet parameters, mass and dimensions of MHD generators
of the Faraday and diagonal types with cryoconducting magnet system.