Equipotential shells for efficient inductance extraction
نویسندگان
چکیده
To make three-dimensional (3-D) on-chip interconnect inductance extraction tractable, it is necessary to ignore parasitic couplings without compromising critical properties of the interconnect system. It is demonstrated that simply discarding faraway mutual inductance couplings can lead to an unstable approximate inductance matrix. In this paper, we describe an equipotential shell methodology, which generates a partial inductance matrix that is sparse yet stable and symmetric. We prove the positive definiteness of the resulting approximate inductance matrix when the equipotential shells are properly defined. Importantly, the equipotential shell approach also provably preserves the inductance of loops if they are enclosed entirely within the shells of their segments. Methods for sizing the shells to control the accuracy are presented. To demonstrate the overall efficacy for on-chip extraction, ellipsoid shells, which are a special case of the general equipotential shell approach, are presented and demonstrated for both on-chip and system-level extraction examples.
منابع مشابه
Am Efficient Inductance Modeling for On-chip Interconnects
In this paper, we present an efficient yet accurate inductance extraction methodology. We first show that without loss of accuracy, the extraction problem of n traces can be reduced to a number of one-trace and two-trace subproblems. We then solve one-trace and two-trace subproblems via a tablebased approach. The table-based inductance model has been integrated with a statistically-based RC mod...
متن کاملHow to Efficiently Capture On-Chip Inductance Effects: Introducing a New Circuit Element K
On-chip inductance extraction and analysis is becoming increasing critical. Inductance extraction can be difficult, cumbersome and impractical on large designs as inductance depends on the current return path — which is typically unknown prior to extracting and simulating the circuit model. In this paper, we propose a new circuit element, K, to model inductance effects, at the same time being e...
متن کاملEfficient inductance extraction using circuit-aware techniques
We propose two practical approaches for on-chip inductance extraction to obtain a highly sparsified and accurate inverse inductance matrix K. Both approaches differ from previous methods in that they use circuit characteristics to obtain a sparse, stable and symmetric K, using the concept of resistance-dominant and inductance-dominant lines. Specifically, they begin by finding inductance-domina...
متن کاملEfficient PEEC-Based Inductance Extraction Using Circuit-Aware Techniques
Practical approaches for on-chip inductance extraction to obtain a sparse, stable and accurate inverse inductance matrix K are proposed. The novelty of our work is in using circuit characteristics to define the concept of resistance-dominant and inductancedominant lines. This notion is used to progressively refine a set of clusters that are inductively tightly-coupled. For reasonable designs, t...
متن کاملCircuit-Aware On-chip Inductance Extraction
In this paper we propose a practical approach for on-chip inductance extraction. This approach differs from previous methods in that it uses circuit characteristics to obtain a sparse, stable and symmetric inductance matrix, using the concept of resistance dominant and inductance dominant lines. Experimental results show that only the important inductance terms related to strong inductance coup...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. on CAD of Integrated Circuits and Systems
دوره 20 شماره
صفحات -
تاریخ انتشار 2001