A Distributed Convex Relaxation Approach to Solve the Power Flow Problem

Manshadi, Saeed D.; Khodayar, Mohammad E.; Wang, Jianhui; Dai, Renchang

doi:10.1109/jsyst.2019.2913133

Cited by 10 publications

(9 citation statements)

References 15 publications

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“…The ADMM optimization successfully reduces the commercial buildings' HVAC energy consumption, while it preserves the thermal comfort specifications of occupants on the building level as well as distribution grid constraints on the system operator level. Although the feasibility region of the standard alternating current power flow problem is nonconvex, convex relaxation approaches such as in [12] are considered frequently to make ADMM to additionally incorporate grid constraints for optimal energy management problems. In contrast to our work, however, Faddel et al [11] and Manshadi et al [12] do not specify a holistic architecture, which makes it rather difficult to apply and scale their proposed ADMM-based solutions.…”

Section: A State Of the Art And Advancementsmentioning

confidence: 99%

“…Although the feasibility region of the standard alternating current power flow problem is nonconvex, convex relaxation approaches such as in [12] are considered frequently to make ADMM to additionally incorporate grid constraints for optimal energy management problems. In contrast to our work, however, Faddel et al [11] and Manshadi et al [12] do not specify a holistic architecture, which makes it rather difficult to apply and scale their proposed ADMM-based solutions.…”

Section: A State Of the Art And Advancementsmentioning

confidence: 99%

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Computational Performance Study on the Alternating Direction Method of Multipliers Algorithm for a Demand Response Peak Shaving Application

Schwarz

Monti

2023

IEEE Systems Journal

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This article quantifies and benchmarks the computational performance of the distributed alternating direction method of multipliers (ADMM) optimization algorithm applied to a slowdynamics demand response peak shaving application. We propose a hierarchical demand response architecture, in which a commercial aggregator acts as the supplier and system-level flexibility service provider to a portfolio of residential prosumers. The prosumers are equipped with flexible distributed energy resources that we model based on convex operation constraints. The optimal day-ahead peak shaving control of the portfolio is realized in a distributed way through an entirely parallel implementation of the distributed ADMM optimization algorithm. In this scenario, we evaluate the ADMM algorithm's overall speed of convergence and conduct multiple large-scale numerical simulation experiments on a compute cluster to compare and assess the algorithmic performance of ADMM against a centralized reference benchmark optimization. Our simulation results show that the distributed ADMM algorithm is superior compared to a purely centralized optimization. The findings are of particular use to commercial demand response aggregators that show interest in the deployment and improvement of distributed coordination and optimal control concepts for future slow-dynamics demand response applications and services.

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Section: A State Of the Art And Advancementsmentioning

confidence: 99%

Section: A State Of the Art And Advancementsmentioning

confidence: 99%

Computational Performance Study on the Alternating Direction Method of Multipliers Algorithm for a Demand Response Peak Shaving Application

Schwarz

Monti

2023

IEEE Systems Journal

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“…Compared to the standard ADMM framework, the local ED problem (9) and dual consensus updates (18) are solved locally in parallel by each region operator. Therefore, each region decision-makers can operate their respective systems independently with the consideration that only HVDC converters' information is shared with its neighbours.…”

Section: Consensus-based Admmmentioning

confidence: 99%

“…As an augmented Lagrangian relaxation method, ADMM has shown its superiority in its convergence property. To enhance the cost‐effectiveness of interconnected power systems, ADMM has been adopted in multi‐area ED [16] and unit commitment [17], multi‐area power flow [18], and AC/DC distribution system operation [19] problems.…”

Section: Introductionmentioning

confidence: 99%

Decentralized robust dispatch for multi‐area AC/DC system considering wind power uncertainty

Zhao

Liu

et al. 2021

IET Generation Trans & Dist

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This paper proposes a decentralized robust dispatch method for multi-area AC/DC system considering wind power uncertainty. The accommodated wind power interval model is adopted to handle the inherent uncertainty and volatility of wind generation, which is modelled based on the affinely adjustable robust optimization method. The accommodated wind power interval and the automatic generation control participation factors are optimized simultaneously to accommodate more wind energy and ensure operational reliability of the entire multi-area system. The flexible adjustment model of HVDC converter station is also presented to accommodate more wind power. Then, the resulting economic dispatch model for multi-area system is solved in a fully decentralized and parallel manner using accelerated alternating direction method of multipliers algorithm to preserve the information privacy and dispatch independence of each region. Case studies illustrate the effectiveness of the proposed model.

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“…The gap of the objective value with the objective value procured by solving the non-convex ACOPF problem is presented in [10] as a tightness measure. Another tightness measure which leverages the eigenvalues of the SDP matrix is presented in [11] and [12]. Another way to evaluate the tightness of the SOCP relaxation method is to sum the voltage angles over a cycle that is utilized in this paper.…”

Section: Introductionmentioning

confidence: 99%

Demand Variation Impact on Tightness of Convex Relaxation Approaches for the ACOPF Problem

Farokhi-Soofi

Manshadi

2021

2020 52nd North American Power Symposium (NAPS)

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A Distributed Convex Relaxation Approach to Solve the Power Flow Problem

Cited by 10 publications

References 15 publications

Computational Performance Study on the Alternating Direction Method of Multipliers Algorithm for a Demand Response Peak Shaving Application

Computational Performance Study on the Alternating Direction Method of Multipliers Algorithm for a Demand Response Peak Shaving Application

Decentralized robust dispatch for multi‐area AC/DC system considering wind power uncertainty

Demand Variation Impact on Tightness of Convex Relaxation Approaches for the ACOPF Problem

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