Simulation model and experimental setup. by Maryam Arianpouya (12299222)

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Line plots of ||. by Maryam Arianpouya (12299222)

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Mean and maximum |B1+| values calculated over the Region of Interest (ROI) for the simulated and experimental |B1+| maps, and associated temperature elevations ΔT as achieved with... by Maryam Arianpouya (12299222)

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Application of various λ values in Step 2 of the proposed low-SAR Workflow. by Maryam Arianpouya (12299222)

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Proposed and existing workflows to obtain RF-shim PTX in safe mode. by Maryam Arianpouya (12299222)

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Values for 1-g SAR (SAR_1g), 10-g local SAR (SAR_10g) and global SAR (SAR_G), as well as <i>SAR</i>_1<i>g</i>/<i>SAR</i>_<i>G</i>... by Maryam Arianpouya (12299222)

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Optimized post-calibration amplitude and phase shifts for 4-channel PTX in safe mode, for two different regularization parameters. by Maryam Arianpouya (12299222)

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The <i>L</i> matrix basis vectors (<i>m1</i>, <i>m2</i>, <i>m3</i>, <i>m4</i>) applied to 4-channel PTX for Step 1 of the proposed low-SAR workflow. by Maryam Arianpouya (12299222)

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The channel-dependent relative amplitudes (A_n), and the corresponding calculated in logarithmic scale (A_n = 20 × log (S_n(t)_out / S<sub>n... by Maryam Arianpouya (12299222)

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MATLAB codes for determining complex weighting factors applied to PTX channel inputs in two operation modes. by Maryam Arianpouya (12299222)

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Simulated E-Field maps using the standard basis (“channel coordinates”) and the low-SAR <i>L</i> basis vectors of Table 3. by Maryam Arianpouya (12299222)

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Signal ratio <i>R</i>/2 = (<i>S</i>2/2<i>S</i>1) computed using Equation S3 in S1 File for successive application of a gradient echo pulse sequence with flip angles <i>θ</i><sub>1<... by Maryam Arianpouya (12299222)

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Workflow comparison. by Maryam Arianpouya (12299222)

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Simulated B₁⁺ maps using the standard and the low-SAR bases and the experimental maps for CH1-CH4. by Maryam Arianpouya (12299222)

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Comparison of planning results. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”

Economic parameters of equipment to be built. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”

Results of coordinated ESS planning. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”

Typical daily load curves. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”

Typical daily wind power production curves. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”

Typical daily solar power production curves. by Tianhe Sun (21145341)

“…The model is solved iteratively using the column generation algorithm and strong duality theory. Case studies on a Northeast China power grid demonstrate that, by optimally configuring generation and storage capacity guided by flexibility and other indicators, the proposed method reduces curtailment/load shedding costs and system flexibility insufficiency probability by 45% and 4.3% respectively. …”