Abstract
The electromagnetic interference (EMI) performances of the interconnects and cables can be predicted via a standard multi-conductor transmission line (MTL) model, while the latter is not valid for the evaluation of power rail collapse and ground bounce responses. To circumvent the limitations, a more general and feasible improved MTL representation is presented in this paper. It physically incorporates the partial resistance and partial inductance parameters of all signal and reference conductors. To consider the frequency dependent behavior of the per-unit-length (PUL) electrical parameters in time domain simulations, a terminal description for this improved MTL model with any desired length is demonstrated. Subsequently, an equivalent node-to-node admittance functions (NAFs) implementation for this terminal representation is carried out. The correctness and effectiveness of the NAFs circuit model in time domain is then numerically validated by analyzing two dedicated examples.
Highlights
Electromagnetic compatibility (EMC) characteristics involved in electronic and electrical systems have been dramatically aggravated because of the increased operating frequency and decreased rising and falling times [1]-[6]
For the purpose of EMC predictions, the interconnects and cables in the systems can be analyzed by means of full-wave electromagnetic approaches [7]-[12], an electromagnetic topology principle [13]-[19], a Kron reduction technique [20]-[22], or a standard multiconductor transmission line (MTL) model [23]-[27]
As can be noted, a subtle characteristic of this commonly used standard MTL model is that the general per-unit-length (PUL) loop electrical parameters, that is, loop resistances and loop inductances are adopted [24]
Summary
Electromagnetic compatibility (EMC) characteristics involved in electronic and electrical systems have been dramatically aggravated because of the increased operating frequency and decreased rising and falling times [1]-[6]. As can be noted, a subtle characteristic of this commonly used standard MTL model is that the general per-unit-length (PUL) loop electrical parameters, that is, loop resistances and loop inductances are adopted [24] With this unique feature the wave equations for voltage and current signals can be analytically or numerically solved in time domain [28]-[37] or in frequency domain [38]-[47]. The application of PUL loop resistance and loop inductance parameters makes the standard MTL model not applicable to predict the EMC phenomena related to the reference conductor It means that the voltage drops across each conductor, such as the power rail collapse and ground bounce behaviors cannot be computed uniquely [51]. The time domain results are verified against a reference Inverse Fast Fourier Transform (IFFT) approach
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