Hexagonal&lt;tex&gt;$Sigma Delta$&lt;/tex&gt;Modulators in Power Electronics

Luckjiff, G.; Dobson, Ian

doi:10.1109/tpel.2005.854029

Cited by 43 publications

(36 citation statements)

References 38 publications

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“…The upper bounds on the integrator outputs never increase abruptly. The SNR and spectral response are better than the conventional DSM based three-phase SC with hexagonal quantizer [2,3].…”

Section: Introductionmentioning

confidence: 92%

“…The output of the switching circuit (a,b,c) drives the balanced three-phase load like three-phase dc motor. In the conventional DSM based single-phase or three-phase SC the sampling of input signal and DSM operation is performed by the same clock signal [2,3]. Figure. 2 (a) shows conventional DSM based single-phase SC in which Q 1 and Q 2 are acting as switches.…”

Section: Proposed Vector Quantizermentioning

confidence: 99%

“…The quantizer output toggles about the input signal so that the average quantizer output is approximately equal to the average of the input. In both communications and power electronics, the aim is to design the DSM such that the input signal is passed through the system with minimal distortion from quantization noise for full range of amplitude and frequency of input signal [1,2].…”

Section: Introductionmentioning

confidence: 99%

“…One such application in power electronics is conventional DSM based switching converter (SC), which is used to control the speed of DC motor [2]. The range of input signal of the switching converter with conventional DSM, reduces as the over sampling ratio (OSR) increases, due to poor SNR and unstable condition.…”

Section: Introductionmentioning

confidence: 99%

“…Conventional DSM with hexagonal quantization results in significant improvement in spectral performance, SNR and is used to control three-phase dc motor with three-phase switching converter [2,3]. But the range of input signal cannot be extended to full scale.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Vector quantized signal dependant Delta-Sigma modulator based high performance three-phase switching converter

Diwakar

Senthilpari

Singh

et al. 2009

IEICE Electron. Express

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Abstract:The conventional second-order Delta-Sigma modulator (DSM) based switching converter (SC) cannot be used for full range (−1 to +1) of input signal. The DSM becomes unstable when the normalized input signal is about 0.4. The output of the second integrator saturates the operational amplifier which is used as comparator in the single-bit quantizer. The three-phase switching converter, based on DSM with hexagonal quantizer, improves the signal to noise ratio as well as the spectral response without improving the range of the input signal. This paper proposes three-phase signal dependant DSM based switching converter with vector quantizer. The proposed three-phase SC increases the input signal to full scale and maintains its stability. The SNR and spectral response are better than the conventional DSM based three-phase switching converter with hexagonal quantizer. The overall maximum percentage of difference in phase voltages is 0.4%.

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“…The upper bounds on the integrator outputs never increase abruptly. The SNR and spectral response are better than the conventional DSM based three-phase SC with hexagonal quantizer [2,3].…”

Section: Introductionmentioning

confidence: 92%

Section: Proposed Vector Quantizermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vector quantized signal dependant Delta-Sigma modulator based high performance three-phase switching converter

Diwakar

Senthilpari

Singh

et al. 2009

IEICE Electron. Express

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Optimal design of both multi‐input multi‐output loop filter and multi‐input single‐output reconstruction filter of sigma delta modulator

Miao

Ling

Dam

2022

Circuit Theory & Apps

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This paper considers a sigma delta modulator (SDM) with the outputs of the quantizers directly fedback to the inputs of the loop filter without being subtracted from the input sequence. The design of the multi‐input multi‐output (MIMO) loop filter is formulated as an optimization problem. In particular, the sum of the inner products between the elements in the signal transfer function (STF) and the corresponding elements in the noise transfer function (NTF) of the SDM is minimized. The constraints of the optimization problem are defined based on the specifications on the maximum absolute difference between the magnitude response of the designed STF and that of the desirable STF as well as that between the magnitude response of the designed NTF and that of the desirable NTF of the SDM. Similarly, the design of the multi‐input single‐output (MISO) reconstruction filter is also formulated as an optimization problem. In particular, the sum of the total absolute difference between the designed magnitude response of the reconstruction filter and the desirable magnitude response of the STF of the SDM is minimized. The constraint of the problem is defined based on the specification on maximum absolute difference between the designed magnitude response of the reconstruction filter and the desirable magnitude response of the STF of the SDM. In this paper, the genetic algorithm is employed to find a near global solution of the formulated optimization problems. In order to reduce the required computational power, the matrix inversion lemma is applied. The computer numerical simulation results show that the SDM designed by our proposed method outperforms the SDMs designed by the Matlab function in terms of the signal to noise ratio (SNR) performance.

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Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks

Jiang

Powell

2017

Frames and Other Bases in Abstract and Function Spaces

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Hexagonal<tex>$Sigma Delta$</tex>Modulators in Power Electronics

Cited by 43 publications

References 38 publications

Vector quantized signal dependant Delta-Sigma modulator based high performance three-phase switching converter

Vector quantized signal dependant Delta-Sigma modulator based high performance three-phase switching converter

Optimal design of both multi‐input multi‐output loop filter and multi‐input single‐output reconstruction filter of sigma delta modulator

Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks

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