NDLI: Terminals and ports

Content Provider	IEEE Xplore Digital Library
Author	Willems, J.C.
Copyright Year	2010
Description	Author affiliation: ESAT, K.U. Leuven, B-3001 Leuven, Belgium (Willems, J.C.)
Abstract	The behavioral approach to dynamical systems is applied to electrical circuits. This offers an attractive way to introduce circuits pedagogically. An electrical circuit is a device that interacts with its environment through wires, called terminals. Associated with each terminal, there are two variables, a potential and a current. Interconnection is viewed as terminals that share their potential and their current after interconnection. A port is a set of terminals that satisfies port-KCL. If terminals {1, 2, …, p} form a port, and Vk denotes the potential and Ik the current at the k-th terminal, then we define the power that flows into the circuit at time t along these p terminals as V1(t)I 1(t)+V2(t)I2(t) + ···+Vp(t)Ip(t), and the energy that flows into the circuit along these p terminals during the time-interval [t 1, t2] as $∫^{t2}t1(V1(t)I1(t)+V2(t)I2(t)$ + ···+Vp(t)Ip(t))dt. These expressions for power and energy are not valid unless the set of terminals forms a port. We conclude that terminals are for interconnection, and ports are for energy transfer. We formulate a theorem stating that a connected RLC circuit forms a 1-port.
Starting Page	81
Ending Page	84
File Size	153718
Page Count	4
File Format	PDF
ISBN	9781424453085
DOI	10.1109/ISCAS.2010.5537039
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-05-30
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	RLC circuits Kirchhoff's Law Integrated circuit interconnections Wires Energy exchange Uniform resource locators Circuit theory Mathematical model Difference equations Additives
Content Type	Text
Resource Type	Article

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