Duty Cycle and Input-to-Output Voltage Transfer Functions of Tapped-Inductor Buck DC-DC Converter

Saini, Dalvir K.; Chadha, Ankit; Ayachit, Agasthya; Reatti, Alberto; Kazimierczuk, Marian K.

doi:10.1109/iscas.2018.8351323

Cited by 7 publications

(5 citation statements)

References 14 publications

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“…To provide a stronger stability condition the type‐III PID has been selected in our design because it utilizes two zeroes to give a phase boost of 180 o . The PID has been designed based on the reported guideline in …”

Section: Designing a Buck Type Dc‐dc Converter Based On Proposed Bapwmmentioning

confidence: 99%

“…It is assume that the transfer function of the BAPWM, the transfer function of the loop compensator and the transfer function of the power stage is represented by G mdl ( s ), G CN ( s ) and G ps ( s ), respectively. The transfer function of the power stage in continuous conduction mode (CCM) is given by Equation :

G_{ps} ((), s) = \frac{V_{in, DC}}{LC} \times \frac{1 + {sCR}_{ESR}}{s^{2} + s ((), \frac{1}{R_{L} C} + \frac{R_{ESR}}{L}) + \frac{1}{LC}},

where L and C are the inductor and capacitor of the output LC filter, respectively, R ESR is the equivalent resistance (ESR) of the capacitor C and R L is the load resistor, respectively. Also, according to the linearized model explained in Section , the transfer function of the BAPWM can be calculated as follows:

G_{mdl} ((), s) = \frac{k_{cmp} L ((), s) E ((), s)}{1 + {gk}_{cmp} L ((), s) E ((), s)} .

…”

Section: Designing a Buck Type Dc‐dc Converter Based On Proposed Bapwmmentioning

confidence: 99%

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An asynchronous pulse width modulator for DC‐DC buck converter

Inanlou

Shoaei

Tamaddon

2019

Circuit Theory & Apps

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Summary This paper presents an asynchronous pulse width modulation (APWM) approach for the analysis of a new class of the switched mode power supply (SMPS). The proposed APWM significantly simplified the mathematical analysis by utilizing a binary comparator (BAPWM) and a distinctive delay cell instead of hysteretic comparator. By this way, the mathematical analysis can be extended to study the behavior of high‐order self‐oscillating modulators in terms of key parameters such as the harmonic distortion and the stability. The performance of the proposed BAPWM is deeply analyzed for different orders of loop filters (here up to third order) in both time and frequency domain. To verify the effectiveness of the proposed analytical derivations, the BAPWMs are employed in a classic synchronous DC‐DC buck converter and its closed loop performance, in terms of stability, has been investigated. Then the converter is designed and simulated in 130‐nm CMOS technology to convert input voltage of 5 to 3.3 V with maximum load current of 1 A, using Spectre simulator. From the post‐layout simulation results, the peak efficiency conversion efficiency for 3.3 V output voltage is higher than 89%.

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Section: Designing a Buck Type Dc‐dc Converter Based On Proposed Bapwmmentioning

confidence: 99%

G_{ps} ((), s) = \frac{V_{in, DC}}{LC} \times \frac{1 + {sCR}_{ESR}}{s^{2} + s ((), \frac{1}{R_{L} C} + \frac{R_{ESR}}{L}) + \frac{1}{LC}},

G_{mdl} ((), s) = \frac{k_{cmp} L ((), s) E ((), s)}{1 + {gk}_{cmp} L ((), s) E ((), s)} .

…”

Section: Designing a Buck Type Dc‐dc Converter Based On Proposed Bapwmmentioning

confidence: 99%

An asynchronous pulse width modulator for DC‐DC buck converter

Inanlou

Shoaei

Tamaddon

2019

Circuit Theory & Apps

View full text Add to dashboard Cite

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“…Besides, the analytical results match the ones obtained with simulation software satisfactorily. An ac equivalent circuit based on an averaged switch model is proposed in Shafiei et al 8 for a quasi-Y-source converter, whereas a unified solution for tapped-inductor converters using an averaged model is introduced in Yao et al 9 The works reported in previous studies 10,11 adopt the energy conservation and time averaging circuit methods, respectively, to model buck-type topologies by replacing the active switch with a controlled current source and the diode with a controlled voltage source. Small perturbations are added to obtain the equivalent small-signal model while neglecting the higher-order nonlinear terms.…”

Section: Introductionmentioning

confidence: 99%

“…The works reported in previous studies 10,11 adopt the energy conservation and time averaging circuit methods, respectively, to model buck‐type topologies by replacing the active switch with a controlled current source and the diode with a controlled voltage source. Small perturbations are added to obtain the equivalent small‐signal model while neglecting the higher‐order nonlinear terms.…”

Section: Introductionmentioning

confidence: 99%

Unified small‐signal model for DC‐DC converters based on the three‐state switching cell operating in discontinuous conduction mode

Tofoli

2023

Circuit Theory & Apps

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SummaryUnified small‐signal modeling approaches are of paramount importance for the design of controllers and closed‐loop control systems in power electronic converters. In this sense, this work proposes the small‐signal analysis of non‐isolated dc‐dc converters employing the three‐state switching cell (3SSC) in discontinuous conduction mode (DCM). The modeling technique relies on the very same principles of the pulse width modulation (PWM) switch while not involving matrix operations, but only basic concepts related to electric circuits. Considering that the waveforms associated with the terminals of the 3SSC in DCM have a common behavior in all basic dc‐dc converters, it is possible to derive the small‐signal models for both operating regions of the 3SSC, that is, non‐overlapping mode (NOM) and overlapping mode (OM). Thus, one can effectively demonstrate that the same circuit can represent both modes, even though the coefficients that describe the models are calculated from distinct equations. The theoretical claims are validated in the frequency and time domains while comparing the model with the converter. The obtained results evidence that the unified model can accurately represent converters based on the 3SSC in DCM.

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“…, [2] ซึ ่ งมี อั ตราการลดทอนแรงดั น (อั ตราส่ วนแรงดั นเอาต์ พุ ตต่ อ แรงดั นอิ นพุ ต) เท่ ากั บ 𝑑𝑑 เมื ่ อ 𝑑𝑑 คื อค่ าดิ วตี ้ ไซเคิ ล (Duty Cycle) ของสวิ ตช์ มอสเฟตในวงจร หากต้ องการอั ตราการ ลดทอนแรงดั นสู ง วงจรบั คคอนเวอร์ เตอร์ จะต้ องทํ างานที ่ ค่ าดิ วตี ้ ไซเคิ ลตํ ่ าซึ ่ งจะส่ งผลเสี ยทํ าให้ ความสามารถใน ก า ร ต อ บ สนอ งชั่ วขณะ ( Transient Response) แ ละ ประสิ ทธิ ภาพ (Efficiency) ของวงจรลดลง [3] จาก ข้ อจํ ากั ดดั งกล่ าวของวงจรบั คคอนเวอร์ เตอร์ จึ งได้ มี งานวิ จั ยคิ ดค้ นวงจรลดทอนแรงดั นสู งขึ ้ นหลายวงจร เช่ น วงจรไฮบริ ดดี ซี -ดี ซี คอนเวอร์ เตอร์ [4], [5] วงจรแท็ บอิ น ดั กเตอร์ บั คคอนเวอร์ เตอร์ [6][7][8][9][10][11][12][13] วงจรคาสเคดคอนเวอร์ เตอร์ [14], [15] (1)…”

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Analysis and Performance Evaluation of a Cubic Buck Converter

Trakuldit,

Tattiwong,

Kaenthong

et al. 2024

Eng. & Technol. Horiz.

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This paper presents an analysis and performance evaluation of a cubic buck converter. The converter is developed from three buck converters connected in series and uses only one active switch. The proposed circuit has a voltage step-down gain equal to the cube of that provided by a single buck converter. Therefore, it is suitable for use in applications requiring a high voltage step-down, e.g. the conversion of a high DC voltage produced by solar arrays to directly supplying a low-voltage DC load. In the paper, the circuit analysis of the cubic buck converter is performed. The prototype circuit operating with the input voltage of 150 V, the output voltage of 5 V, the load current of 1–10 A and the switching frequency of 100 kHz is implemented. Experimental results confirm that the prototype circuit can maintain the output voltage 5 V throughout the load current range. In addition, the voltage and current measurement results are consistent with the theoretical analysis.

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Duty Cycle and Input-to-Output Voltage Transfer Functions of Tapped-Inductor Buck DC-DC Converter

Cited by 7 publications

References 14 publications

An asynchronous pulse width modulator for DC‐DC buck converter

An asynchronous pulse width modulator for DC‐DC buck converter

Unified small‐signal model for DC‐DC converters based on the three‐state switching cell operating in discontinuous conduction mode

Analysis and Performance Evaluation of a Cubic Buck Converter

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