Strong Mixed-Integer Formulations for Transmission Expansion Planning with FACTS Devices
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917633894383616 |
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| author | Wu, Kevin Tanneau, Mathieu Van Hentenryck, Pascal |
| author_facet | Wu, Kevin Tanneau, Mathieu Van Hentenryck, Pascal |
| contents | Transmission Network Expansion Planning (TNEP) problems find the most economical way of expanding a given grid given long-term growth in generation capacity and demand patterns. The recent development of Flexible AC Transmission System (FACTS) devices, which can dynamically re-route power flows by adjusting individual branches' impedance, call for their integration into TNEP problems. However, the resulting TNEP+FACTS formulations are significantly harder to solve than traditional TNEP instances, due to the nonlinearity of FACTS behavior. This paper proposes a new mixed-integer formulation for TNEP+FACTS, which directly represents the change in power flow induced by individual FACTS devices. The proposed formulation uses an extended formulation and facet-defining constraints, which are stronger than big-M constraints typically used in the literature. The paper conducts numerical experiments on a synthetic model of the Texas system with high renewable penetration. The results demonstrate the computational superiority of the proposed approach, which achieves a 4x speedup over state-of-the-art formulations, and highlight the potential of FACTS devices to mitigate congestion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02347 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strong Mixed-Integer Formulations for Transmission Expansion Planning with FACTS Devices Wu, Kevin Tanneau, Mathieu Van Hentenryck, Pascal Systems and Control Transmission Network Expansion Planning (TNEP) problems find the most economical way of expanding a given grid given long-term growth in generation capacity and demand patterns. The recent development of Flexible AC Transmission System (FACTS) devices, which can dynamically re-route power flows by adjusting individual branches' impedance, call for their integration into TNEP problems. However, the resulting TNEP+FACTS formulations are significantly harder to solve than traditional TNEP instances, due to the nonlinearity of FACTS behavior. This paper proposes a new mixed-integer formulation for TNEP+FACTS, which directly represents the change in power flow induced by individual FACTS devices. The proposed formulation uses an extended formulation and facet-defining constraints, which are stronger than big-M constraints typically used in the literature. The paper conducts numerical experiments on a synthetic model of the Texas system with high renewable penetration. The results demonstrate the computational superiority of the proposed approach, which achieves a 4x speedup over state-of-the-art formulations, and highlight the potential of FACTS devices to mitigate congestion. |
| title | Strong Mixed-Integer Formulations for Transmission Expansion Planning with FACTS Devices |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2310.02347 |