References
25
Lumped Elements
Algebraic Elements
Basic
Algebraic Elements
1) Resistors
2) Inductors
3) Capacitors
4) Memristors
Mixed and
Higher Order
Algebraic Elements
Dynamic Elements
Basic
Dynamic Elements
1) Type R
2) Type L
3) Type C
4) Type M
Mixed and
Higher Order
Dynamic Elements
Fig. 1.13 Classification of lumped circuit elements
3. Voltage-Controlled C-dynamic two-terminal element
˙
x = f(x, v)
(1.20)
q = g(x, v)
4. Charge-Controlled M-dynamic two-terminal element
˙
x = f(x, q)
(1.21)
ϕ = g(x, q)
Along the previous lines it would also be possible to define Mixed and HigherOrder Dynamic Elements. A classification of all lumped circuit elements on the
basis of the definitions thus given is provided in Fig. 1.13.
Remark 1.2 (Time-Varying Elements) So far we have considered only timeinvariant elements. The treatment can be immediately extended to include
time-varying elements. For example, a time-varying (α, β) element is defined
by an algebraic CR f (v (α) , i (β) , t) = 0 including an explicit dependence on time t.
Remark 1.3 (Multiterminal Elements) The treatment in the chapter for twoterminal (or one-port) elements also has a natural extension to multiterminal and
multiport elements. The interested reader is referred to [1] for a detailed discussion.
In the book, we use multiterminal and multiport elements selectively in specific
parts of the book and within examples.
References
1. L. Chua, Device modeling via basic nonlinear circuit elements. IEEE Trans. Circuits Syst.
27(11), 1014–1044 (1980)