隨著集成電路技術的快速進展，對於系統晶片（SoC）的多樣化電壓需求也越來越高。本研究目標是設計一種高效的單電感雙輸出降壓轉換器，以減少外接電感的需求，降低外接電感間的耦合效應，並同時利用三角積分調變器（Delta-Sigma Modulator, DSM）來控制技術抑制開關時產生的諧波。本論文提出的電路結合單電感雙輸出降壓轉換器與三角積分調變器，使用雜訊移頻技術來分散切換頻率所產生的諧波，進而提升系統的穩定性和可靠性。本研究分別利用分立元件驗證架構可行性，同時使用Cadence 中的 Spectre 進行模擬，使用TSMC 0.18μm 1P6M的互補金氧半導體製程，輸出電壓0.9V/1.178V，後模擬效率達到90%，且整體使用面積為 2.42 mm²。輸出頻譜分析表明，三角積分調變器有效地減少了開關切換時產生的諧波，降低諧波透過基板耦合到其他子電路造成EMI干擾。

The objective of this research is to design an efficient single-inductor dual output buck converter to meet the increasingly diverse voltage requirements of System-on-Chip (SoC) applications. The design aims to reduce the need for external inductors and minimize coupling effects between them, while employing a DeltaSigma Modulator (DSM) to suppress harmonics generated during switching. The proposed circuit integrates the single-inductor dual-output buck converter with the DSM, using noise shaping techniques to spread the switching frequency harmonics, thereby enhancing system stability and reliability. The feasibility of this architecture was validated using discrete components and simulations in Cadence Spectre with TSMC 0.18μm 1P6M CMOS technology, achieving an output voltage of 0.9V/1.178V with a post-simulation efficiency of 90% and a total area of 2.42 mm². Spectrum analysis showed that the DSM effectively reduces harmonics during switching, lowering the risk of electromagnetic interference (EMI) by preventing harmonics from coupling through the substrate to other subcircuits.

[1] K.-H.Chen, Power Management Techniques for Integrated Circuit Design, Singapore, John Wiley & Sons Singapore Pte. Ltd. ,2016.
[2] E. Bonizzoni, F. Borghetti, P. Malcovati, F. Maloberti, and B. Niessen, “A 200 mA 93% peak efficiency single-inductor dual-output DC-DC buck converter,” in Proc. IEEE Solid-State Circuits Conf., 2007, pp. 526–619.
[3] J. D. Dasika, B. Bahrani, M. Saeedifard, A. Karimi and A. Rufer, "Multivariable control of single-inductor dual-output buck converters," IEEE Trans. Power Electron., vol. 29, no. 4, pp. 2061-2070, April 2014.
[4] W. Sun, C. Han, M. Yang, S. Xu and S. Lu, "A ripple control dual-mode single-inductor dual-output buck converter with fast transient response," IEEE Trans. Very Large Scale Integr. VLSI Syst, vol. 23, no. 1, pp. 107-117, Jan. 2015.
[5] H.-P. Le, C.-S. Chae, K.-C. Lee, S.-W. Wang, G.-H. Cho, and G.-H. Cho, "A single-inductor switching DC–DC converter with five outputs and ordered power-distributive control," IEEE Journal of Solid-State Circuits, vol. 42, no. 12, pp. 2706-2714, 2007.
[6] H. Shao, X. Li, C. -Y. Tsui and W. -H. Ki, "A novel single-inductor dual-input dual-output DC–DC converter with PWM control for solar Energy harvesting System,"IEEE Trans. Very Large Scale Integr. VLSI Syst., vol. 22, no. 8, pp. 1693-1704, Aug. 2014.
[7] Y. -H. Lee et al., "Interleaving energy-conservation mode (IECM) control in single-inductor dual-output (SIDO) step-down converters with 91% peak efficiency,"IEEE J. Solid-State Circuits., vol. 46, no. 4, pp. 904-915, April 2011.
[8] M. Dongsheng, K, W. H. , and T, C. Y. , "A pseudo-CCM/DCM SIMO switching converter with freewheel switching," IEEE J. Solid-State Circuits, vol. 38, pp. 1007-1014, 2003.
[9] D. Ma, W. H. Ki, C. Y. Tsui, and P. K. T. Mok, "Single-inductor multiple-output switching converters with time-multiplexing control in discontinuous conduction mode," IEEE J. Solid-State Circuits., vol. 38, no. 1, pp. 89-100, Jan. 2003.
[10] F. Estragués, "Designing a Power Tree for an Automotive SoC," Monolithic Power Systems, Article #0076 Rev. 1.0, Oct. 10, 2022.
[11] S. K. Dunlap and T. S. Fiez, “A noise-shaped switching power supply using a delta-sigma modulator,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 6, pp. 1051–1061, Jun. 2004.
[12] S. Mehrjoo, M. Taherzadeh-Sani, and F. Nabki, "A 27 mV output ripple 92% efficiency buck converter using a multi-bit delta-sigma modulator controller and segmented output switch in 180 nm CMOS," in Proc. ICECS, 2016, pp. 129-132.
[13] J. -J. Chen, Y. -S. Hwang, C. -S. Jheng, Y. -T. Ku and C. -C. Yu, "A low-electromagnetic-interference buck converter with continuous-time delta-sigma-modulation and burst-mode techniques ," IEEE Trans. Ind. Electron., vol. 65, no. 9, pp. 6860-6869, Sept. 2018.
[14] W. -H. Chang, Y.-H. Jen, and C. H. Tsai, "An integrated sigma delta noise-shaped buck converter," in Proc. IEEE Power Electron. Drive Syst. Conf., Nov. 2009.
[15] 任永星，具雜訊展抑能力之積體化三角積分降壓轉換器，國立成功大學電機工程學系碩士論文，2008年。
[16] Y. -S. Hwang, J. -J. Chen, J. Yang and Y. Ku, "A Low-EMI continuous-time delta-sigma-modulator buck converter with transient response eruption techniques," IEEE Trans. Ind. Electron., vol. 67, no. 8, pp. 6854-6863, Aug. 2020.
[17] H.-J. Wang and L.-R. Chang-Chien, “Low cross regulation voltage-mode controlled single-inductor dual-outputs (SIDO) voltage regulator,” in Proc. 1st Int. Future Energy Electron. Conf., 2013, pp. 149–154.
[18] Understanding Delta-Sigma Data Converters, R. Schreier and G. C. Temes, IEEE Press and Wiley-Interscience, 2005
[19] A. Santolaria, J. Balcells, D. González, J. Gago, and S. D. Gil, ‘‘EMI reduction in switched power converters by means of spread spectrum modulation techniques,’’ in Proc. IEEE 35th Annu. Power Electron. Spec. Conf., 2004, pp. 292–296.
[20] R.-L. Lin, C.-R. Pan, and K.-H. Liu, “Family of single-inductor multi-output DC-DC converters,” in Proc. IEEE Int. Conf. Power Electron. Drive Syst., 2009, pp. 1216–1221.
[21] TL082CP datasheet, TEXAS INSTRUMENTS,2024.
[22] SN74HC74 datasheet, TEXAS INSTRUMENTS,2021.
[23] SQ4483EY datasheet, Vishay Siliconix,2021.
[24] IDH16G120C5XKSA1, Infineon,2021.
[25] B. Razavi, Design of Analog CMOS Integrated Circuit. US, McGraw-Hill, 2001.
[26] X. Jin and J. He, "Design and analysis of two-stage CMOS operational amplifier for fluorescence signal processing," in Proc. 7th International Conference on Information Science and Control Engineering (ICISCE), Changsha, China, 2020, pp. 2345-2348.
[27] A. Gupta and P. N. Kondekar, "An On-Chip Digital Soft-Start Circuit for Integrated DC-DC Buck Converter," International Conference on Computing, Communication and Networking Technologies (ICCCNT), pp. 1-5,2019.
[28] C. Enz and G. Temes, “Circuit techniques for reducing the effects of op-amp imperfections: Autozeroing, correlated double sampling, and chopper stabilization,” in Proc. IEEE, vol. 84, no. 11, pp. 1584–1614, Nov. 1996.
[29] 蔡旻哲，「有限脈衝響應回授之聲頻應用之混合強健式MASH-ΔΣ調變器」，國立台灣科技大學電機工程系碩士學位論文，中華民國 112 年。
[30] W. Yan, W. Li, and R. Liu, "A noise-shaped buck DC–DC converter with improved light-load efficiency and fast transient response," IEEE Trans. Power Electron., vol. 26, no. 12, pp. 3908-3924, Dec. 2011.
[31] J. Chen, Y. Hwang, J. Yu, Y. Ku, and C. Yu, "A Low-EMI buck converter suitable for wireless sensor networks with spur-reduction techniques," IEEE Sens. J., vol. 16, no. 8, pp. 2588-2597, Apr. 15, 2016.
[32] Y.-S. Hwang, J.-J. Chen, W.-J. Hou, P.-H. Liao, and K. u.-T. Yi, ‘‘A 10-µs transient recovery time low-EMI DC–DC buck converter with ∆− Σ modulator,’’ IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 24, no. 9, pp. 2983–2992, Sep. 2016.
[33] S.-C. Koon, Y.-H. Lam, and W.-H. Ki, “Integrated charge-control single inductor dual-output step-up/step-down converter,” in Proc. IEEE Int. Symp. Circuits Syst., vol. 4, May 2005, pp. 3071–3074.
[34] L. Guan-Lin, C. Ying-Chi, C. Yi-Ting, C. Tsai, and C. Huei-Shan, “A single-inductor dual-output DC-DC converter with output voltage mode switching” in Proc. IEEE 13th Workshop Control Model. Power Electron., 2012, pp. 1–4.
[35] H. Lv et al., “Experimental study on single event latch-up of a D/A converter,” in Proc. 3rd Int. Conf. Radiat. Effects Electron. Devices (ICREED), Chongqing, China, May 2019, pp. 52–55.
[36] “理解輸出電壓漣波和雜訊”。[Online].Available: https://e2echina.ti.com/blogs_/b/power_house/posts/53235
[37] J. -J. Chen, Y. -S. Hwang, Y. Ku, J. -A. Chen and C. -H. Lai, "A new improved second-order delta-sigma-modulation buck converter with Low-Noise and transient-acceleration loops,"IEEE Trans. Ind. Electron., vol. 69, no. 1, pp. 64-73, Jan. 2022.