原创 阻抗匹配的禁区

      Forbidden  Regions  of  Impedance  Matching

        Because of the way in which the addition of series and parallel capacitances and inductances move along lines of admittance and reactance, there are certain areas on the Smith Chart, known as forbidden regions, within which the combinations of inductance and capacitance cannot be used to translate the impedance to the center of the chart (perform an impedance match). The reason can be made clear by an example.

                        

Series-added reactive components (inductors and capacitors) move the impedance point along constant resistance lines as shown in red and purple to the right. Shunt-added reactive components move the impedance point along the constant conductance lines as shown in blue and green to the right. Recall that adding a shunt capacitor increases overall capacitance, and adding a series capacitor decreases the overall capacitance. The opposite is true for inductance.

Suppose the impedance of a source lies in the Forbidden Region in the Smith Chart in the upper right (above). Adding series inductor increases the overall inductance and therefore moves the point along the red line (constant resistance), which keeps the impedance within the Forbidden Region. The addition of a shunt capacitor increases the overall capacitance and moves the point along the green line (constant conductance), but can never move the point to the center where 50 W lies.