This paper presents a method for obtaining the state equations for planar Nondegenerate Linear Electric Circuits (NDLEC), based on Mesh Analysis with Virtual Voltage Sources (MA-VVS). To apply this method, all circuit energy-storage elements and nonconvertible current sources are replaced by virtual sources. The work is mostly done by inspection.
OgataKatsuhiko, State Space Analysis of Control Systems (Prentice-Hall, Englewood Cliffs, NJ, 1967).
2.
ChanS. P.ChanS. P.ChanS. Y., Analysis of Linear Networks and Systems (Addison-Wesley, New York, 1972).
3.
BalabanianN.BickartT.SeshuS., Electrical Network Theory (Wiley, New York, 1969).
4.
SkaarDonald L., ‘Using the superposition method to formulate the state variable matrix for linear networks’, IEEE Trans. Educ., 44 (2001), 311–314.
5.
BalabanianN.BickartT., Linear Network Theory (Matrix Publishers, Chesterland, 1981).
6.
ChuaL. O.LinP. M., Computer–aided Analysis of Electronic Circuits (Prentice-Hall, Englewood Cliffs, NJ, 1975).
7.
ChomaJ., Electrical Networks: Theory and Analysis (John Wiley, New York, 1985).
8.
KuoF. F.KaiserJ. F., System Analysis by Digital Computer (John Wiley, New York, 1985).
9.
SommarivaAntonino M., ‘State–space equations of regular and strictly topologically degenerate linear lumped time – invariant networks: The multiport method’, Int. J. Circuit Theory Appl., 29 (2001), 435–453.
10.
SommarivaAntonino M., ‘State–space equations of regular and strictly topologically degenerate linear lumped time–invariant networks: The implicit tree-tableau method’, in Proc. 8th IEEE International Conference on Electronics, Circuits and Systems, ICECS 2001, Vol. 3 (IEEE, New York, 2001), pp. 1139–1141.
11.
ReißigG., ‘Extension of the normal tree method’, Int. J. Circuit Theory and Applications, 27(2) (1999), 241–265.
12.
Le BaronJ.-P.CadranE., ‘A new method, using the graph theoretical approach, for obtaining symbolic state equations of linear electronic circuits’, in Proc. 3rd IEEE Int. Conf. on Electronics, Circuits and Systems, Vol. 1 (IEEE, New York, 1996), pp. 9–12.
13.
AtadanS., ‘Minimum dimensional state–space formulation of linear systems’, Circuits, Devices and Systems, IEE Proc. G, 138 (5) (1991), 590–594.
14.
NatarajanS., ‘A systematic method for obtaining state equations using MNA’, Circuits, Devices and Systems, IEE Proc. G, 138(3) (1991), 341–346.
15.
QianL. Y.SunS. Q., ‘Formulation of generalized state equations and multiport equations: A novel approach’, Circuits, Devices and Systems, IEE Proc. G, 137(1) (1990), 49–52.
16.
ChatzarakisGeorge E., Electric Circuits, Vol. II (Tziolas Publications, Thessaloniki, 2000).
