Hybrid of Thevenin and Norton Equivalent Circuits Analogous to a Source Equivalence Theorem in Electromagnetics

Year 2020, Volume: 16 Issue: 4, 361 - 365, 30.12.2020

Ömer Işık Lokman Erzen Ali Uzer

Abstract

According to the conventional perception among engineers, once a circuit is reduced to its Thevenin or Norton equivalent, the voltage and current may be determined only at the load, but not in the remaining parts. The other voltages and currents that exist in the remaining parts of circuit should be determined by returning to the original circuit; substituting the solutions obtained at the load location; and then employing the rules of circuit theory. In this paper, we presented a source equivalence theorem wherein such a back-substitution is never need. It splits an original circuit into two sub-circuits that can be solved separately by using different techniques. Then the voltages and currents everywhere in the circuit can be obtained as a sum of the solutions those two sub-circuits without making any back-substitution.

Keywords

Nonlinear circuits, Source equivalence, Thevenin theorem, Norton theorem, Equivalent circuits, Integrated circuit interconnections

References

• 1. Johnson, DH. 2002. Origins of the equivalent circuit concept: the voltage-source equivalent. Proceedings of the IEEE, 91(4): 636-640.
• 2. Johnson, DH. 2002. Origins of the equivalent circuit concept: the current-source equivalent. Proceedings of the IEEE; 91(5): 817-821.
• 3. Haus, HA, Adler RB. Circuit theory of linear noisy circuits; Cambridge, Massachusetts, New York, Wiley, 1959.
• 4. Carlin, HJ, Giordano, AB. Circuit theory-An introduction to reciprocal and nonreciprocal circuits; Englewood Cliffs, New Jersey, Prentice-Hall, 1964.
• 5. Corazza, GC, Someda, CG, Longo, G. 1969. Generalized Thevenin's theorem for linear n-port circuits. IEEE Transactions on Circuit Theory, 16: 564-566.
• 6. Hashemian, R. Hybrid equivalent circuit, an alternative to Thevenin and Norton equivalents, its properties and applications. Midwest Symposium on Circuits and Systems (MWSCAS 2009), Mexico, 2009, pp 800-803.
• 7. Femia, N. 1996. A fast method to find the state of switches after forced commutations in switching converters. Proceedings of IEEE Power Electronics Specialists Conference (ESC’96), Atlanta; (2): 1356-1362.
• 8. Femia, N. 2003. Understanding commutations in switching converters-Part I: Basic theory and application of the compensation theorem. IEEE Transactions on Aerospace and Electronic Systems; 39(1): 282-297.
• 9. Uzer, A. 2012. Some electromagnetic equivalence theorems unified by a single theorem and generalized to a nonlinear case. IEEE Antennas and Propagation Magazine; 54(3): 86-99.
• 10. Chang, FY. 1996. Transient analysis of diode switching circuits including charge storage effect. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 43(3): 177-190.
• 11. Dommel, HW. 1969. Digital computer solution of electromagnetic transients in single and multiphase circuits. IEEE Trans. Power Apparatus and Systems; 88: 388-399.