Truncation Error Formula for Multi-Port Cauer Ladder Networks

被引：0

作者：

Nagamine, Hideaki ^{[1
]}

Hiruma, Shingo ^{[2
]}

Mifune, Takeshi ^{[2
]}

Matsuo, Tetsuji ^{[2
]}

机构：

[1] Gifu Univ, Fac Engn, Dept Elect Elect & Comp Engn, Gifu 5011193, Japan

[2] Kyoto Univ, Grad Sch Engn, Dept Elect Engn, Kyoto 6158510, Japan

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2024年 / 60卷 / 06期

基金：

日本学术振兴会;

关键词：

Cauer ladder network (CLN) method; continued fractions; eddy currents; model order reduction; multiport;

D O I：

10.1109/TMAG.2024.3387309

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Frequency responses of multiple-input multiple-output (MIMO) systems involving eddy current fields are efficiently approximated as matrix-valued continued fractions via the multi-port Cauer ladder network (CLN) method. This study investigates the truncation error of matrix-valued continued fractions in multi-port RL networks by generalizing the result of ordinary (scalar-valued) continued fractions. The network-theoretic interpretation of matrix-valued continued fractions obviates a complicated mathematical framework and enables the derivation of an explicit formula for truncation errors. Numerical examples, including its application to an inductor model, validated our approach.

引用

页码：1 / 8

页数：8

共 18 条

[1]

Chirlian P. M., 1967, Integrated and Active Network Analysis and Synthesis

[2] GENERALIZED THEVENINS THEOREM FOR LINEAR N-PORT NETWORKS [J].

CORAZZA, GC ;

SOMEDA, CG ;

LONGO, G .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1969, CT16 (04) :564-&

[3] On the growth factor in Gaussian elimination for generalized Higham matrices [J].

George, A ;

Ikramov, KD ;

Kucherov, AB .

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2002, 9 (02) :107-114

[4]

Hayden T.L., 1965, NUMER MATH, V7, P292, DOI [10.1007/bf01436523, DOI 10.1007/BF01436523]

[5] TRUNCATION ERROR ESTIMATES FOR STIELTJES FRACTIONS [J].

HENRICI, P ;

PFLUGER, P .

NUMERISCHE MATHEMATIK, 1966, 9 (02) :120-&

[6] Error Estimator for Cauer Ladder Network Representation [J].

Hiruma, Shingo ;

Clenet, Stephane ;

Igarashi, Hajime ;

Henneron, Thomas .

IEEE TRANSACTIONS ON MAGNETICS, 2022, 58 (09)

[7]

Jones W.B., 2009, CONTINUED FRACTIONS

[8] Cauer Ladder Network Representation of Eddy-Current Fields for Model Order Reduction Using Finite-Element Method [J].

Kameari, A. ;

Ebrahimi, H. ;

Sugahara, K. ;

Shindo, Y. ;

Matsuo, T. .

IEEE TRANSACTIONS ON MAGNETICS, 2018, 54 (03)

[9] Generalized multiport representation of power systems using ABCD parameters for harmonic stability analysis [J].

Lekic, Aleksandra ;

Beerten, Jef .

ELECTRIC POWER SYSTEMS RESEARCH, 2020, 189

[10]

Lorentzen L., 1992, Continued fractions with applications, V3

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