Second-Order Balanced Truncation for Passive-Order Reduction of RLCK Circuits

  title={Second-Order Balanced Truncation for Passive-Order Reduction of RLCK Circuits},
  author={Boyuan Yan and Sheldon X.-D. Tan and B. McGaughy},
  journal={IEEE Transactions on Circuits and Systems II: Express Briefs},
  • Boyuan Yan, Sheldon X.-D. Tan, B. McGaughy
  • Published 2008
  • Mathematics, Computer Science
  • IEEE Transactions on Circuits and Systems II: Express Briefs
  • In this paper, we propose a novel model-order reduction (MOR) approach, second-order balanced truncation (BT) for passive-order reduction (SBPOR), which is the first second-order BT method proposed for passive reduction of RLCK circuits. By exploiting the special structure information in the circuit formulation, second-order Gramians are defined based on a symmetric first-order realization in descriptor from. As a result, SBPOR can perform the traditional balancing with passivity-preserving… CONTINUE READING
    An improved numerical method for balanced truncation for symmetric second-order systems
    • 51
    • PDF
    Model reduction of time-delay systems using position balancing and delay Lyapunov equations
    • 30
    • PDF
    Efficient balancing-based MOR for large-scale second-order systems
    • 43
    • PDF
    Model Order Reduction for Differential-Algebraic Equations: A Survey
    • 46


    Publications referenced by this paper.
    SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits
    • 49
    • Highly Influential
    Balancing and model reduction for second-order form linear systems
    • 141
    • Highly Influential
    Wideband passive multiport model order reduction and realization of RLCM circuits
    • 24
    • PDF
    Advanced Model Order Reduction Techniques in VLSI Design
    • 140
    • PDF
    Fast balanced stochastic truncation via a quadratic extension of the alternating direction implicit iteration
    • 21
    PRIMA: passive reduced-order interconnect macromodeling algorithm
    • 1,289
    • PDF
    Guaranteed passive balancing transformations for model order reduction
    • 105