# An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis

A new method for the solution of nonlinear periodic systems was developed. It avoids the time domain calculations of the whole network equations. In the proposed method, by forming the augmented network as linear and nonlinear subnetworks these subnetworks are formulated in complex frequency and time domain respectively. Using spectral analysis the steady-state periodic solution of the whole nonlinear network is reached by an iterative approach. The method can be applied efficiently to weak and strong nonlinear circuits equally well. When we divide the network into a large linear subnetwork and a small nonlinear subnetwork, this method can be applied more efficiently. Solutions depending on the chosen total harmonic numbers converge to the exact solutions.

# An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis

A new method for the solution of nonlinear periodic systems was developed. It avoids the time domain calculations of the whole network equations. In the proposed method, by forming the augmented network as linear and nonlinear subnetworks these subnetworks are formulated in complex frequency and time domain respectively. Using spectral analysis the steady-state periodic solution of the whole nonlinear network is reached by an iterative approach. The method can be applied efficiently to weak and strong nonlinear circuits equally well. When we divide the network into a large linear subnetwork and a small nonlinear subnetwork, this method can be applied more efficiently. Solutions depending on the chosen total harmonic numbers converge to the exact solutions.
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## Turk. J. Elec. Eng. & Comp. Sci., 8, (2000), 31-42. Full text: pdf Other articles published in the same issue: Turk. J. Elec. Eng. & Comp. Sci., vol.8 iss.1.,

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 Bibtex @ { tbtkelektrik144623, journal = {Turkish Journal of Electrical Engineering and Computer Science}, issn = {1300-0632}, eissn = {1303-6203}, address = {}, publisher = {TÜBİTAK}, year = {2000}, volume = {8}, pages = {31 - 42}, doi = {}, title = {An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis}, key = {cite}, author = {Tohumoğlu, Gülay} } APA Tohumoğlu, G . (2000). An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis . Turkish Journal of Electrical Engineering and Computer Science , 8 (1) , 31-42 . MLA Tohumoğlu, G . "An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis" . Turkish Journal of Electrical Engineering and Computer Science 8 (2000 ): 31-42 < Chicago Tohumoğlu, G . "An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis". Turkish Journal of Electrical Engineering and Computer Science 8 (2000 ): 31-42 RIS TY - JOUR T1 - An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis AU - Gülay Tohumoğlu Y1 - 2000 PY - 2000 N1 - DO - T2 - Turkish Journal of Electrical Engineering and Computer Science JF - Journal JO - JOR SP - 31 EP - 42 VL - 8 IS - 1 SN - 1300-0632-1303-6203 M3 - UR - Y2 - 2021 ER - EndNote %0 Turkish Journal of Electrical Engineering and Computer Science An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis %A Gülay Tohumoğlu %T An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis %D 2000 %J Turkish Journal of Electrical Engineering and Computer Science %P 1300-0632-1303-6203 %V 8 %N 1 %R %U ISNAD Tohumoğlu, Gülay . "An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis". Turkish Journal of Electrical Engineering and Computer Science 8 / 1 (Ocak 2000): 31-42 . AMA Tohumoğlu G . An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis. Turkish Journal of Electrical Engineering and Computer Science. 2000; 8(1): 31-42. Vancouver Tohumoğlu G . An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis. Turkish Journal of Electrical Engineering and Computer Science. 2000; 8(1): 31-42. IEEE G. Tohumoğlu , "An Efficient Algorithm to Determine the Periodic Steady-State Solutions of Nonlinear Systems Using Extended Spectral Analysis", Turkish Journal of Electrical Engineering and Computer Science, c. 8, sayı. 1, ss. 31-42, Oca. 2000
• ISSN: 1300-0632
• Yayın Aralığı: Yılda 6 Sayı
• Yayıncı: TÜBİTAK

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