The Extra Element Theorem (EET) is an analytic technique developed by R. D. Middlebrook for simplifying the process of deriving driving point and transfer functions for linear electronic circuits.[1] Much like Thévenin's theorem, the extra element theorem breaks down one complicated problem into several simpler ones.
Driving point and transfer functions can generally be found using Kirchhoff's circuit laws. However, several complicated equations may result that offer little insight into the circuit's behavior. Using the extra element theorem, a circuit element (such as a resistor) can be removed from a circuit, and the desired driving point or transfer function is found. By removing the element that most complicate the circuit (such as an element that creates feedback), the desired function can be easier to obtain. Next, two correctional factors must be found and combined with the previously derived function to find the exact expression.
The general form of the extra element theorem is called the N-extra element theorem and allows multiple circuit elements to be removed at once.[2]
^
Vorpérian, Vatché (2002). Fast analytical techniques for electrical and electronic circuits. Cambridge UK/NY: Cambridge University Press. pp. 61–106. ISBN 978-0-521-62442-8.
^Vorpérian, Vatché (2002-05-23). Fast Analytical Techniques for Electrical and Electronic Circuits. pp. 137–139. ISBN 978-0-521-62442-8.
and 13 Related for: Extra element theorem information
The ExtraElementTheorem (EET) is an analytic technique developed by R. D. Middlebrook for simplifying the process of deriving driving point and transfer...
See Figure 2. The asymptotic gain model is a special case of the extraelementtheorem. As follows directly from limiting cases of the gain expression...
ISBN 0-13-436049-4. Richard R Spencer & Ghausi MS (2003). Example 10.7 pp. 723-724. ISBN 0-201-36183-3. Asymptotic gain model Blackman's theoremExtraelementtheorem...
problems with boundary layers. The mixed finite element method is a type of finite element method in which extra independent variables are introduced as nodal...
The structured program theorem, also called the Böhm–Jacopini theorem, is a result in programming language theory. It states that a class of control-flow...
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...
accesses. Static Optimality Theorem — Let q x {\displaystyle q_{x}} be the number of times element x is accessed in S. If every element is accessed at least...
mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the convergence of monotonic sequences (sequences...
than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself...
the case of infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for infinite sets to have...
closely related to the curvature of the connection, via the Ambrose–Singer theorem. The study of Riemannian holonomy has led to a number of important developments...
describe the length of the string, before writing out the string itself. Theorem. (extra information bounds, subadditivity) K ( x | y ) ≤ K ( x ) ≤ K ( x ,...
Global Information