Node-reduction Model of Large-scale Network Grape

대형 회로망 그래프 마디축소 모델

  • 황재호 (대전산업대 전기전자공학부)
  • Published : 2001.02.01

Abstract

A new type geometric and mathematical network reduction model is introduced. Large-scale network is analyzed with analytic approach. The graph has many nodes, branches and loops. Circuit equation are obtained from these elements and connection rule. In this paper, the analytic relation between voltage source has a mutual different graphic property. Node-reduction procedure is achieved with this circuit property. Consequently voltage source value is included into the adjacent node-analyzing equation. A resultant model equations are reduced as much as voltage source number. Matrix rank is (n-1-k), where n, k is node and voltage source number. The reduction procedure is described and verified with geometric principle and circuit theory. Matrix type circuit equation can be composed with this technique. The last results shall be calculated by using computer.

Keywords

References

  1. 황재호, '網촉소작도법애 의한 대형회로망 전류원 처리', 전기학회논문지,49D권 5호, pp. 278-200, 2000, 5
  2. W. H. Kim and H. E. Meadows, Modern Network Analysis. John Wiley & Sons, 1971
  3. 김수중, 신편회로망이론, 반도출판사, 1995
  4. 장세훈 외3 공편, 최신회로망이론, 청문각, 1992
  5. T. Ozawa, 'The Complex Basis in Electrical Networks and Its Application to Network-element- Value Calculation', IEEE Trans. Circuits and Systems, pp. 561-566, 1900 https://doi.org/10.1109/31.52763
  6. J. B. Murdoch, Network Theory, McGraw-Hill, 1970
  7. 황재호, '전압원이 혼재된 대형 수동회로망의 기하학적마디해석법', 대한전기학회 추계학술회의 논문집(8), pp. 733-735, 1999. 11
  8. N. Balabanian and T. A. Bickart, Electrical Network Theory, John Wiley & Sons, 1969