Presentation 2012-07-03
Fast Simulation of Multiconductor Transmission Lines Using Nodal Block Relaxation (NBR) Method
Takahiro TAKASAKI, Tadatoshi SEKINE, Hideki ASAI,
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Abstract(in English) This paper describes a nodal block relaxation (NBR) method in which the block relaxation method is applied to the nodal circuit equation restructured from the modified nodal equation. First, the circuit equation is derived by applying the RLCG-MNA method to the equivalent circuit. Next, the circuit equation is transformed into the nodal equation composed of only node voltage variables. As a result, the coefficient matrix of circuit equation becomes a block tridiagonal matrix and is enforced to the symmetric positive definite matrix. Therefore, the block relaxation method becomes available for the numerical solutions of multiconductor transmission lines. The convergence of the iterative method is guaranteed because of symmetric positive definite matrix. Finally, numerical results show that the proposed method is valid for the fast transient simulation of multiconductor transmission lines.
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Keyword(in English) block relaxation method / fast transient simulation / multiconductor transmission lines / RLCG-MNA method
Paper # CAS2012-15,VLD2012-25,SIP2012-47,MSS2012-15
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Conference Date 2012/6/25(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Fast Simulation of Multiconductor Transmission Lines Using Nodal Block Relaxation (NBR) Method
Sub Title (in English)
Keyword(1) block relaxation method
Keyword(2) fast transient simulation
Keyword(3) multiconductor transmission lines
Keyword(4) RLCG-MNA method
1st Author's Name Takahiro TAKASAKI
1st Author's Affiliation Dept. of Systems Eng., Graduate School of Eng., Shizuoka University()
2nd Author's Name Tadatoshi SEKINE
2nd Author's Affiliation Dept. of Systems Eng., Shizuoka University
3rd Author's Name Hideki ASAI
3rd Author's Affiliation Dept. of Systems Eng., Graduate School of Eng., Shizuoka University:Dept. of Systems Eng., Shizuoka University
Date 2012-07-03
Paper # CAS2012-15,VLD2012-25,SIP2012-47,MSS2012-15
Volume (vol) vol.112
Number (no) 116
Page pp.pp.-
#Pages 5
Date of Issue