DocumentCode :
1165097
Title :
State Equations of Electrical Networks from a Lagrangian Formulation
Author :
Meisel, Jerome
Volume :
16
Issue :
2
fYear :
1969
fDate :
5/1/1969 12:00:00 AM
Firstpage :
219
Lastpage :
221
Abstract :
This correspondence presents a systematic method of obtaining the state equations for lumped linear bilateral electrical networks using energy-state functions and Lagrange´s equation. By applying a specified set of holonomic constraint equations in addition to a Legendre transformation on a portion of the system energy-state function, modified Lagrangian and Rayleigh functions are formulated, which, when substituted into Lagrange´s equation, yield equations of state with capacitor tree voltages and inductor link currents as state variables. An example is included to illustrate the procedure.
Keywords :
Energy-state functions; Lagrange´s equation; Linear lumped time-invariant networks; State equations; Capacitors; Circuit stability; Electrons; Inductors; Lagrangian functions; Nonlinear circuits; Nonlinear equations; Oscillators; Resistors; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1969.1082930
Filename :
1082930
Link To Document :
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