INTERNATIONAL JOURNAL OF NUMERICAL MODELLING: ELECTRONIC NETWORKS, DEVICES AND FIELDS Int. J. Numer. Model. (2008) Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/jnm.698 Efficient power-bus modeling based on an adaptive frequency sampling technique Giulio Antonini 1,Ã,y , Dirk Deschrijver 2 and Tom Dhaene 2 1 UAq EMC Laboratory, Dipartimento di Ingegneria Elettrica e dell’Informazione, Universita ` degli Studi di L’Aquila, Monteluco di Roio, 67040 L’Aquila, Italy 2 Department of Information Technology (INTEC), Ghent University-IBBT, Sint Pietersnieuwstraat 41, 9000 Ghent, Belgium SUMMARY This paper presents an adaptive frequency sampling algorithm to generate a rational macromodel of a power delivery network. To this aim, the cavity model is assumed to represent the structure and accurate models of conductor and dielectric losses are incorporated. The adaptive sampling algorithm allows one to minimize the order of the macromodel and number of frequency samples used to extract the rational macromodel. The numerical results demonstrate the effectiveness of the proposed method. Copyright r 2008 John Wiley & Sons, Ltd. Received 15 December 2007; Revised 23 May 2008; Accepted 7 July 2008 KEY WORDS: power delivery networks; cavity model; rational macromodeling 1. INTRODUCTION Power delivery networks are used for delivering DC power to integrated circuits (ICs) in multilayer printed circuit boards (PCBs). The DC power-bus structure includes entire planes of large area and is essentially a parallel-plane waveguide [1]. Modes excited within the planes may result in signal integrity (SI) and electromagnetic interference (EMI) problems [2–7]. Full-wave techniques such as the finite-difference time-domain (FDTD) method [8,9], the finite element method [10] or the partial element equivalent circuit (PEEC) approach [5,11] have been widely adopted to obtain accurate models of power-bus structures. Full-wave equivalent circuit models have been proposed in order to allow the fringing fields to be taken into account *Correspondence to: Giulio Antonini, UAq EMC Laboratory, Dipartimento di Ingegneria Elettrica e dell’Informazione, Universita` degli Studi di L’Aquila, Monteluco di Roio, 67040 L’Aquila, Italy. y E-mail: antonini@ing.univaq.it Contract/grant sponsor: Italian Ministry of University (MIUR); contract/grant number: 2006095890 Contract/grant sponsor: Fund for Scientific Research in Flanders (FWO Vlaanderen) Copyright r 2008 John Wiley & Sons, Ltd.