Finding all the DC solutions of circuits containing diodes and bipolar transistors

The paper deals with diode-transistor circuits having multiple DC solutions and offers two contraction and elimination methods enabling us to find all the DC solutions. They can be directly used to the circuits with constant parameters, when the chip is at fixed temperature, or merged into an earlier developed algorithm enabling us to analyse circuits with the thermal constraint. Numerical experiments show that the proposed approach is efficient and improves the analysis of transistor circuits having multiple DC solutions. It is illustrated via a numerical example.