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本文采用阶跃电流模型研究了非圆截面环电流器等离子体的MHD不稳定性,使札哈洛夫(Zakharov)的工作推广到非圆截面,得到了新的稳定性判据。它指出了椭圆形变,三角形变,电流梯度以及q值(所谓的安全因子)对等离子体的β值的影响。为了得到最大的β值,本文给出了最佳q值公式。对等离子体的不同参数计算了临界β值,并与由局部模判据和气球模的数值计算所得到的结果进行了比较。文中指出,电流梯度的存在是对等离子体β值影响的重要因素;非圆截面等离子体比圆截面等离子体可能得到更高的β值。MHD instability of the noncircular cross-section plasma is investigated by using a step current profile model. A new criterion for the instability is obtained. It is a generalization of Zakharov's criterion for circular cross-section plasma. The effects of elliptical and triangular distortion, current gradient and the value of safety factor q on β value are indicated. The optimistic value of q for achieving the largest β value is also given.The critical β value for various plasma parameters is calculated and compared with the numerical results from the local instability and ballooning modes criteria. It is noted here that the current gradient affects the β value seriously. The noncircular cross-section plasma has advantage for obtaining higher β value.
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