本篇論文中,我們將帕松方程式及電流連續方程式,利用等效電路的方式來設計出二維網格數值元件模擬器,元件的模擬就變成了電路的模擬,不但可以用電路模擬器來做元件模擬,而且可以和一般電路結合,形成混階模擬,接著討論多晶矽閘極和金屬閘極的差異和優缺點,並利用多晶矽閘極模擬的結果和金屬閘極來做比較,最後,我們將討論的主題是用非白努力的電流表示方法,並比較非白努力方程式與傳統白努力方程式上的差異。;In this thesis, we use Poisson’s equation and continuity equations to design an equivalent circuit model for 2-D device simulation. The device simulation will be transformed into the circuit simulation. The simulation will become a mixed-level device and circuit simulation. We discuss the advantages and disadvantages between poly-Si gate and metal gate. And the simulation results of poly-Si gate will be compared with those of metal gate. Finally, the subject to be discussed is the non-Bernoulli equation for current expression. We will compare the Bernoulli method with non-Bernoulli method.