论文标题
3D史密斯图恒定质量因子半圆形轮廓，用于正电阻电路和负电阻
3D Smith chart constant quality factor semi-circles contours for positive and negative resistance circuits
论文作者
论文摘要
本文首先证明了被动电路的恒定质量因子（q）轮廓，而在2D史密斯图中表示，在同轴电注圆形上形成圆形弧。此外，这些圆形弧表示北半球的半圆家庭，同时代表3D史密斯图表。相反，我们表明，在2D Smith图表外部同一同轴圆圈上，具有负电阻形式的活性电路的恒定Q轮廓。另外，我们发现这些恒定的Q轮廓代表了南半球的互补半圆，而在3D史密斯图表上表示负电阻电路。然后，在3D史密斯图上的Q半圆形实现恒定的Q-计算机辅助设计（CAD），然后成功地用于评估新制造的二氧化钒电感器的质量因子变化，直接从其反射系数直接从其反射系数中，因为温度从室温从室温升高到50摄氏度（°C）。因此，提出了直接的多参数频率依赖性分析，包括Q，电感和电感器的反射系数。然后，质量因子直接分析用于两个隧道二极管小信号等效电路分析，这首先允许在电路的史密斯图表上进行Q和输入阻抗直接分析，包括负电阻
The article proves first that the constant quality factor (Q) contours for passive circuits, while represented on a 2D Smith chart, form circle arcs on a coaxal circle family. Furthermore, these circle arcs represent semi-circles families in the north hemisphere while represented on a 3D Smith chart. On the contrary we show that the constant Q contours for active circuits with negative resistance form complementary circle arcs on the same family of coaxal circles in the exterior of the 2D Smith chart. Also, we find out that these constant Q contours represent complementary semi-circles in the south hemisphere while represented on the 3D Smith chart for negative resistance circuits. The constant Q - computer aided design (CAD) implementation of the Q semi-circles on the 3D Smith chart is then successfully used to evaluate the quality factor variations of newly fabricated Vanadium dioxide inductors first, directly from their reflection coefficient, as the temperature is increased from room temperature to 50 degrees Celsius (°C). Thus, a direct multi-parameter frequency dependent analysis is proposed including Q, inductance and reflection coefficient for inductors. Then, quality factor direct analysis is used for two tunnel diode small signal equivalent circuits analysis, allowing for the first time the Q and input impedance direct analysis on Smith chart representation of a circuit, including negative resistance
