A trivial example is a circuit consisting of a current source and an exponential diode, where the value of the dc current supplied by the current source is more negative than the asymptotic value of the current permitted by the diode characteristic when the diode is reverse-biased. Contrary to linear circuits, which consist of linear elements only (excluding the independent current and voltage sources), nonlinear circuits may possess multiple solutions or may not possess a solution at all ( Willson, 1994).
Only a few simple circuits are adequately described by equations that have a closed form solution. If capacitor voltages and inductor currents are chosen as state variables, there is a one-to-one correspondence between the circuit's equilibrium points and dc operating points ( Chua et al., 1987).Īnalyzing nonlinear circuits is often difficult. Hence, circuit equilibrium points are related to dc operating points of a resistive circuit with all capacitors and inductors removed. Of particular interest are circuit equilibrium points, which are solutions to associated nonlinear algebraic equations. Ljiljana Trajković, in The Electrical Engineering Handbook, 2005 5.3 Voltages and Currents in Nonlinear CircuitsĬircuit voltages and currents are solutions to nonlinear differential-algebraic equations that describe circuit behavior.
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