Inverter VAR control for distribution systems with renewables
Open accessAbstract
Motivated by the need to cope with rapid and random fluctuations of renewable generation, we presents a model that augments the traditional Volt/VAR control through switched controllers on a slow timescale with inverter control on a fast timescale. The optimization problem is generally nonconvex and therefore hard to solve. We propose a simple convex relaxation and prove that it is exact provided over-satisfaction of load is allowed. Hence Volt/VAR control over radial networks is efficiently solvable. Simulations of a real-world distribution circuit illustrates that the proposed inverter control achieves significant improvement over the IEEE 1547 standard in terms of power quality and power savings.
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Prior sufficient conditions for exactness of the SOCP relaxation require load over-satisfaction on some or all buses and do not hold in practice.
“these conditions require some bus to be able to draw infinite power, which is referred to as load over-satisfaction in the literature. For example, the conditions given in [9], [13], [14] require load over-satisfaction on some/all of the buses.”
From Optimal power flow in distribution networks (2018) · cites this paper as [9]
The Introduction (page not supplied) says the paper’s convex relaxation is exact provided load over-satisfaction is allowed. It does not specify that a bus must be able to draw infinite power, identify which buses require over-satisfaction, or say the condition does not hold in practice. (LLM, conf=0.84)
Experimental — accuracy not yet measuredAll sufficient conditions in the literature that guarantee exactness of the SOCP relaxation require removing some of the constraints in OPF, and do not hold in practice.
“To summarize, all sufficient conditions in the literature that guarantee the exactness of the SOCP relaxation require removing some of the constraints in OPF, and do not hold in practice.”
From Optimal power flow in distribution networks (2018) · cites this paper as [9]
The Introduction says this paper's convex relaxation is exact provided oversatisfaction of load is allowed, supporting the narrower point that its exactness guarantee depends on relaxing a load requirement. It does not say that all sufficient conditions in the literature require removing OPF constraints or that those conditions fail in practice. (LLM, conf=0.83)
Experimental — accuracy not yet measuredThe SOCP relaxation is exact if p_i = -∞ and q_i = -∞ for i ∈ N+.
“Proposition 1 ( [9]) The SOCP relaxation is exact if p i = -∞ and q i = -∞ for i ∈ N + .”
From Optimal power flow in distribution networks (2018) · cites this paper as [9]
The introduction (p. 457) says the paper’s convex relaxation is exact when oversatisfaction of load is allowed. The available passage does not state the specific conditions p_i = q_i = −∞ for i ∈ N+, so that formulation cannot be verified from our copy. (LLM, conf=0.78)
Experimental — accuracy not yet measured
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Nguyen, H. D., & Turitsyn, K. S. (2014) · IEEE Power Engineering Society General Meeting · doi:10.1109/pesgm.2014.6938797 · Cited by 47 · see citing works
Distributed Multi-Period Optimal Power Flow for Demand Response in Microgrids
Scott, P., & Thiébaux, S. (2015) · ACM International Conference on Future Energy Systems (e-Energy) · doi:10.1145/2768510.2768534 · Cited by 45 · see citing works
Liu, Y., Guo, L., Lu, C., Chai, Y., Gao, S., & Xu, B. (2019) · IEEE Access · doi:10.1109/access.2019.2912004 · Cited by 44 · see citing works
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Energy saving estimation in distribution network with smart grid‐enabled CVR and solar PV inverter
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Convex relaxation of optimal power flow: A tutorial
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Self-citationNetwork flow and copper plate relaxations for AC transmission systems
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A Linearized Power Flow Model for Optimization in Unbalanced Distribution SystemsPreprint
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- Authors
- Farivar, M., Clarke, C. R., Low, S. H., & Chandy, K. M.
- Affiliations
- California Institute of Technology (US)
- Edison International (United States) (US)
- Venue
- 2011 IEEE International Conference on Smart Grid Communications (SmartGridComm)
- Publisher
- IEEE
- Published
- 2011-10
- Pages
- 457-462
- OpenAlex
- W1978282571
- Cited by
- 331
- References
- 13
- Citations by year
- 2026: 5 · 2025: 14 · 2024: 13 · 2023: 12 · 2022: 14 · 2021: 22 · 2020: 35 · 2019: 26 · 2018: 24 · 2017: 36 · 2016: 28 · 2015: 30 · 2014: 39 · 2013: 20 · 2012: 12
- FWCI
- 31.25
- Type
- conference paper
- Language
- en
- Open access
- green
- zenodo.org
- Licence
- public-domain
- Locations
- IEEE International Conference on Smart Grid Communications (SmartGridComm) (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Zenodo (CERN European Organization for Nuclear Research) (submittedVersion, public-domain)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Optimal Power Flow Distribution
- Physical Sciences › Engineering › Control and Systems Engineering › Microgrid Control and Optimization
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Power Quality and Harmonics
- Keywords
- volt/var control, inverter control, distribution systems, renewable generation integration, convex relaxation, radial distribution systems, power quality, IEEE 1547, non-convex optimization
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