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- 저자 : Ammar Khawaja (검색결과 1 건)
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Ali Sadaqat,Haider Shafiq,Huda Aamina Bintul,Hadi Hussain,Ammar Khawaja 대한전기학회 2023 Journal of Electrical Engineering & Technology Vol.18 No.2
In this manuscript, various balanced-truncation methods for limited frequency interval model order reduction applications of unstable second order systems (SOSs) are considered. Limited interval gramians are computed by solving the proposed algebraic Lyapunov equations (CALEs). Reduced order model (ROM) performance is optimized in required interval of frequency. It is observed that CALEs for unstable-SOSs become unsolvable and thus halt the reduction-procedure. To bridle this restraint, in first proposed method, fragmentation of continuous time unstable SOS in to stable and unstable segments is performed and ROM for stable part is computed. ROM thus acquired for stable segment is appended with unstable segment to obtain the reduced model in total. However, SOS-structure in ROM obtained from first proposed method gets lost and appended unstable part degrade ROM integrity. To avert these restraints, in later part, structure preserving approaches for unstable SOSs are presented. In structure preserving technique, system is made stable using Bernoulli feedback and gramians are calculated by solving frequency-limited CALEs. The resultant gramians are partitioned in to position and velocity portions in order to achieve structure-preservation so that interpretation of original-system is retained. The partitioned gramians are balanced with different combinations to achieve various second order balancing procedures that provide ROM with optimized performance in required frequency-interval. The comparison of proposed frequency-limited and infinite interval procedures is performed to prove the superiority of proposed procedures for multiple systems. The proposed development can be utilized for ROM performance optimization applications in limited-frequency interval for unstable-SOSs.
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