scholarly journals On Model Order Reduction of Interconnect Circuit Network: A Fast and Accurate Method

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1248
Author(s):  
Xinsheng Wang ◽  
Shimin Fan ◽  
Ming-Zhe Dai ◽  
Chengxi Zhang
Keyword(s):  
Integrated Circuit ◽  
Model Order Reduction ◽  
Interconnection Network ◽  
Circuit Simulation ◽  
Power Series Expansion ◽  
Order Reduction ◽  
Original System ◽  
State Function ◽  
Model Order ◽  
Approximate Function

The time cost in integrated circuit simulation is an important consideration in the design. This paper investigates the model order reduction of interconnect circuit networks to facilitate numerical analysis. A novel fast and accurate time reduced order model is proposed to simplify the interconnection network structure analysis and perform a fast simulation. The novelty of this study is the use of the power function sum to extend the approximate function to replace the original system’s state function. We give several simulations to verify the effectiveness of the algorithm. The innovation of this model is due to its use of the approximate function of power series expansion to replace the state function of the original system.

scholarly journals Reduced Order Controller Design for Symmetric, Non-Symmetric and Unstable Systems Using Extended Cross-Gramian

Machines ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 48 ◽  
Author(s):  
Azhar ◽  
Zulfiqar ◽  
Liaquat ◽  
Kumar
Keyword(s):  
Model Order Reduction ◽  
Controller Design ◽  
Order Reduction ◽  
Original System ◽  
Computational Effort ◽  
Model Order ◽  
Unstable Systems ◽  
Reduced Order ◽  
The Cross ◽  
Symmetric Systems

In model order reduction and system theory, the cross-gramian is widely applicable. The cross-gramian based model order reduction techniques have the advantage over conventional balanced truncation that it is computationally less complex, while providing a unique relationship with the Hankel singular values of the original system at the same time. This basic property of cross-gramian holds true for all symmetric systems. However, for non-square and non-symmetric dynamical systems, the standard cross-gramian does not satisfy this property. Hence, alternate approaches need to be developed for its evaluation. In this paper, a generalized frequency-weighted cross-gramian-based controller reduction algorithm is presented, which is applicable to both symmetric and non-symmetric systems. The proposed algorithm is also applicable to unstable systems even if they have poles of opposite polarities and equal magnitudes. The proposed technique produces an accurate approximation of the reduced order model in the desired frequency region with a reduced computational effort. A lower order controller can be designed using the proposed technique, which ensures closed-loop stability and performance with the original full order plant. Numerical examples provide evidence of the efficacy of the proposed technique.

scholarly journals Passivity Preserving Model Order Reduction Using the Reduce Norm Method

Electronics ◽  
2020 ◽  
Vol 9 (6) ◽  
pp. 964
Author(s):  
Namra Akram ◽  
Mehboob Alam ◽  
Rashida Hussain ◽  
Asghar Ali ◽  
Shah Muhammad ◽  
...  
Keyword(s):  
Integrated Circuits ◽  
Integrated Circuit ◽  
Model Order Reduction ◽  
High Speed ◽  
Order Reduction ◽  
Reliable Operation ◽  
Model Order ◽  
Reduced Order ◽  
Reduction Methods ◽  
On Chip

Modeling and design of on-chip interconnect, the interconnection between the components is becoming the fundamental roadblock in achieving high-speed integrated circuits. The scaling of interconnect in nanometer regime had shifted the paradime from device-dominated to interconnect-dominated design methodology. Driven by the expanding complexity of on-chip interconnects, a passivity preserving model order reduction (MOR) is essential for designing and estimating the performance for reliable operation of the integrated circuit. In this work, we developed a new frequency selective reduce norm spectral zero (RNSZ) projection method, which dynamically selects interpolation points using spectral zeros of the system. The proposed reduce-norm scheme can guarantee stability and passivity, while creating the reduced models, which are fairly accurate across selected narrow range of frequencies. The reduced order results indicate preservation of passivity and greater accuracy than the other model order reduction methods.

scholarly journals State relevance for model order reduction applied to a microgrid

2021 ◽  
Author(s):  
Andrés Tomás-Martín ◽  
Aurelio García-Cerrada ◽  
Lukas Sigrist ◽  
Sauro Yagüe ◽  
Jorge Suárez-Porras
Keyword(s):  
Power Systems ◽  
Model Order Reduction ◽  
Ad Hoc ◽  
Stability Limit ◽  
Order Reduction ◽  
Original System ◽  
Reduced Model ◽  
State Variables ◽  
Nonlinear Simulation ◽  
Model Order

This paper presents a systematic model order reduction (MOR) algorithm based on state relevance applied to an islanded microgrid with electronic power generation. MOR of such islanded microgrids may not benefit, a priori, from the well-established time-scale separation usually applied to conventional power systems, and a systematic MOR is still an open issue. The proposed algorithm uses a balanced realization of the linear system, where state variables may not have physical meaning, to obtain the states' energies. It then calculates the relevance of the original system states from those energy values. The newly proposed ``state-relevance coefficient'' should help to choose which states to consider in a reduced model in each study case. Detailed nonlinear simulation results show that the proposed algorithm is able to find the relevant states to include in the reduced model systematically, even in operation points near the stability limit, where ad-hoc MOR techniques are likely to fail. The performance of the algorithm is illustrated in a system with grid-forming converters in various scenarios but can be easily applied to other systems.

State relevance for model order reduction applied to a microgrid

2021 ◽  
Author(s):  
Andrés Tomás-Martín ◽  
Aurelio García-Cerrada ◽  
Lukas Sigrist ◽  
Sauro Yagüe ◽  
Jorge Suárez-Porras
Keyword(s):  
Power Systems ◽  
Model Order Reduction ◽  
Ad Hoc ◽  
Stability Limit ◽  
Order Reduction ◽  
Original System ◽  
Reduced Model ◽  
State Variables ◽  
Nonlinear Simulation ◽  
Model Order

This paper presents a systematic model order reduction (MOR) algorithm based on state relevance applied to an islanded microgrid with electronic power generation. MOR of such islanded microgrids may not benefit, a priori, from the well-established time-scale separation usually applied to conventional power systems, and a systematic MOR is still an open issue. The proposed algorithm uses a balanced realization of the linear system, where state variables may not have physical meaning, to obtain the states' energies. It then calculates the relevance of the original system states from those energy values. The newly proposed ``state-relevance coefficient'' should help to choose which states to consider in a reduced model in each study case. Detailed nonlinear simulation results show that the proposed algorithm is able to find the relevant states to include in the reduced model systematically, even in operation points near the stability limit, where ad-hoc MOR techniques are likely to fail. The performance of the algorithm is illustrated in a system with grid-forming converters in various scenarios but can be easily applied to other systems.

scholarly journals Model order reduction for nonlinear problems in circuit simulation

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 1021603-1021604 ◽  
Author(s):  
A. Verhoeven ◽  
T. Voss ◽  
P. Astrid ◽  
E.J.W. ter Maten ◽  
T. Bechtold
Keyword(s):  
Model Order Reduction ◽  
Circuit Simulation ◽  
Order Reduction ◽  
Nonlinear Problems ◽  
Model Order
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