Determining stability circle using two geometrically derived parameters

Two new stability parameters 'μ' and 'v' are defined for linear two port circuits using a geometrically approach. The magnitudes of both μ and v parameters determine the geometrical relation between SC (stability circle) and USC (Unit Smith Chart) in Γ_L plane. If |v| > |μ| > 1, SC is outside the USC. If |v| > 1 > |μ|, SC intersects the USC. If 1 > |v| > |μ|, SC is inside the USC. The signs of v parameter determine that the region inside SC (disk) is stable if v > 0 or the region outside the SC (disk complement) is stable if v < 0. The stable region includes the USC origin if μ parameter is positive. Otherwise, the stable region excludes the USC origin when μ parameter is negative. This paper illustrates the relationship between SC and USC for all the twelve situations.