Abstract
In the domain of electrical and electronic engineering, managing the complexity of systems with numerous components presents challenges in analysis, simulation, and control. Model Order Reduction (MOR) techniques provide a solution by creating simplified models while retaining system behavior. This study investigates two widely-used MOR algorithms: Positive-Real Truncated Balanced Realization (PRR) and Proper Orthogonal Decomposition (PODA). We apply these methods to an 8th-order electrical circuit and compare their performance in reducing system order. Through comprehensive analysis, we demonstrate that while PRR exhibits sensitivity to dimension choices and accuracy limitations, PODA consistently maintains accuracy across various reduced dimensions. Our findings emphasize PODA's robustness and suitability for accurate model order reduction, particularly in time-domain applications. This research contributes insights into selecting appropriate MOR techniques based on application demands and underscores the significance of advanced MOR methods in addressing system complexity challenges.
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References
Salehi, Z., Karimaghaee, P., Khooban, M.H.: Model order reduction of positive real systems based on mixed Gramian balanced truncation with error bounds. Circ. Syst. Sig. Process. 40(12), 5309–5327 (2021)
Block, B., Chen, X., Stockar, S.: Stabilization of a POD/Galerkin reduced order Payne-Whitham traffic model. In: 2023 American Control Conference (ACC), San Diego, CA, USA, pp. 4443–4448 (2023)
Kumar, D., et al.: Positive-real truncated balanced realization based frequency-weighted model reduction. In: 2019 Australian & New Zealand Control Conference (ANZCC), Auckland, New Zealand, pp. 145–147 (2019)
Zulfiqar, U., Imran, M., Ghafoor, A., Liaqat, M.: Time/frequency-limited positive-real truncated balanced realizations. IMA J. Math. Control Inform. 37(1), 64–81 (2020)
Salehi, Z., Karimaghaee, P., Khooban, M.-H.: Mixed positive-bounded balanced truncation. IEEE Trans. Circ. Syst. II: Express Briefs 68(7), 2488–2492 (2021)
Salehi, Z., Karimaghaee, P., Khooban, M.-H.: A new passivity preserving model order reduction method: conic positive real balanced truncation method. IEEE Trans. Syst. Man, Cybern. Syst. 52(5), 2945–2953 (2022)
Akram, N., Alam, M., Hussain, R., Massoud, Y.: Statistically inspired passivity preserving model order reduction. IEEE Access 11, 52226–52235 (2023)
Nagaraj, S., Seshachalam, D., Hucharaddi, S.: Model order reduction of nonlinear circuit using proper orthogonal decomposition and nonlinear autoregressive with exogenous input (NARX) neural network. In: 2018 16th ACM/IEEE International Conference on Formal Methods and Models for System Design (MEMOCODE), Beijing, China, pp. 1–4 (2018)
Pierquin, A., Henneron, T.: Nonlinear data-driven model order reduction applied to circuit-field magnetic problem. IEEE Trans. Magn. 57(11), 1–9 (2021)
Torchio, R., Zanco, A., Lucchini, F., Alotto, P., Grivet-Talocia, S.: Mixed proper orthogonal decomposition with harmonic approximation for parameterized order reduction of electromagnetic models. In: 2022 International Symposium on Electromagnetic Compatibility—EMC Europe, pp. 349–354. Gothenburg, Sweden (2022)
Delagnes, T., Henneron, T., Clenet, S., Fratila, M.: Development of a FE reduced model on a large operating range for a squirrel cage induction machine in non-linear case. In: 2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC), Denver, CO, USA, pp. 1–2 (2022)
Fasolato, S., Allam, A., Li, X., Lee, D., Ko, J., Onori, S.: Reduced-order model of lithium-iron phosphate battery dynamics: a POD-Galerkin approach. IEEE Control Syst. Lett. 7, 1117–1122 (2023)
Guiver, C., Opmeer, M.R.: A counterexample to “positive realness preserving model reduction with ℋ∞ norm error bounds.” IEEE Trans. Circ. Syst. I: Reg. Papers 58(6), 1410–1411 (2011)
Yang, Y., Shang, W., Yang, N., Wang, E., Xu, X.: Surrogate model based on POD-kriging for fast analysis of electrical devices. In: 2023 IEEE 6th International Electrical and Energy Conference (CIEEC), Hefei, China, pp. 3190–3194 (2023)
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This research result is the product of a university-level scientific research project with code ĐH2023-TN07-01, funded by the Thai Nguyen University of Information and Communication Technology (ICTU).
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Nguyen, TT., Dao, HD., Vu, NK. (2023). Comparative Evaluation of PRR and PODA Methods for Model Order Reduction in Electrical Circuits. In: Nghia, P.T., Thai, V.D., Thuy, N.T., Son, L.H., Huynh, VN. (eds) Advances in Information and Communication Technology. ICTA 2023. Lecture Notes in Networks and Systems, vol 847. Springer, Cham. https://doi.org/10.1007/978-3-031-49529-8_25
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DOI: https://doi.org/10.1007/978-3-031-49529-8_25
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