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Robust Transmission Network Expansion Planning Problem Considering Storage Units
Optimization and Control · Submitted 10 Jul 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This algorithm guarantees convergence to the global optimum in a finite number of iterations.
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The abstract, sentence by sentence
This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term uncertainties are accounted for. This work differs from previously reported solutions in an important aspect, namely, we include binary recourse variables to avoid the simultaneous charging and discharging of storage units once uncertainty is revealed. Two-stage robust optimization with discrete recourse problems is a challenging task, so we propose using a nested column-and-constraint generation algorithm to solve the resulting problem. This algorithm guarantees convergence to the global optimum in a finite number of iterations. The performance of the proposed algorithm is illustrated using the Garver's test system.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. | background 0.73 | 0.52 | 0.05 | asserted 0.96 |
| s1 | A two-stage adaptive robust optimization framework is adopted whereby short- and long-term uncertainties are accounted for. | method 0.98 | 0.83 | 0.04 | asserted 1.00 |
| s2 | This work differs from previously reported solutions in an important aspect, namely, we include binary recourse variables to avoid the simultaneous charging and discharging of storage units once uncertainty is revealed. | contribution 0.97 | 0.89 | 0.12 | asserted 1.00 |
| s3 | Two-stage robust optimization with discrete recourse problems is a challenging task, so we propose using a nested column-and-constraint generation algorithm to solve the resulting problem. | method 0.85 | 0.81 | 0.07 | asserted 0.90 |
| s4 | This algorithm guarantees convergence to the global optimum in a finite number of iterations. | result 0.33 | 0.77 | 0.17 | asserted 1.00 |
| s5 | The performance of the proposed algorithm is illustrated using the Garver's test system. | method 0.72 | 0.88 | 0.07 | asserted 1.00 |
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The paper
Original abstract
This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term uncertainties are accounted for. This work differs from previously reported solutions in an important aspect, namely, we include binary recourse variables to avoid the simultaneous charging and discharging of storage units once uncertainty is revealed. Two-stage robust optimization with discrete recourse problems is a challenging task, so we propose using a nested column-and-constraint generation algorithm to solve the resulting problem. This algorithm guarantees convergence to the global optimum in a finite number of iterations. The performance of the proposed algorithm is illustrated using the Garver's test system.
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