M. Ohtomo, STABILITY ANALYSIS AND NUMERICAL-SIMULATION OF MULTIDEVICE AMPLIFIERS, IEEE transactions on microwave theory and techniques, 41(6-7), 1993, pp. 983-991
Stability analysis of multidevice amplifiers is made on a generalized
circuit comprising two n-ports with S-matrices S (active devices) and
S' (passive networks) connected at n interface ports. Open-loop transf
er functions defined for a signal-flow graph and its (n - 1) subgraphs
of incident and reflected waves at the interface ports are expressed
in terms of det M(n) and its minors, where M(n) = S'S - I(n) and I(n)
= n x n identity matrix. It is shown that the Nyquist plots of the n t
ransfer functions completely characterize the number of right-half com
plex-frequency-plane zeros of det M(n), and hence the amplifier stabil
ity. Insertion of an ideal circulator and isolators at the interface p
orts enables one to calculate the Nyquist plots and voltage distributi
ons of possible instabilities using commercially available linear circ
uit simulators. Numerical simulations for two types of parallel-operat
ed GaAs FET amplifiers are performed to verify the usefulness of the a
nalysis to design-phase check on multidevice amplifier stability.