磁流体发电机的最佳端磁场位形的确定

本文首先建立了电效率与端磁场位形的泛函关系，尔后，通过变分法导出了电效率取最大值 的必要条件──无限元二次代数方程组．通过数量级分析和代数变换，把此二次方程组的求解问 题化为有限元的线性方程组问题．这样，可在任意精确要求下，确定磁流体发电机的最佳负载因 子与最佳端磁场位形．其方法对液态金属磁流体发电机和电磁泵同样适用．本文采用二维模型．

THE DETERMINATION OF THE OPTIMUM END MAGNETIC FIELD CONFIGURATION IN MAGNETO-HYDRODYNAMIC GENERATOR

We first estabilish the functional relation between the electric efficiency and the end magnetic field configuration in maguetohydrodynamic generator. Then, by calculus of variation, the necessary conditions for the electric eff- iciency taking- maximum value are derived, which are second order algebraic equations having infinite elements, Neglecting high order small terms and making suitable algebraic transform, we can turn these equations into linear algebraic equations having finite elements, which are easy to solve as we usually know. By solving these linear algebraic, we can determine the opti- mum end magnetic field configuration and optimum load factor to any exact- ness. This method can also be used to determine the optimum magnetic field configuration in liquid-metal magnetohydrodynamic generator and electroma- gnetic pump. A two-demension model has been adopted.