Stochastic Energy Management of Microgrid with Nodal Pricing
Open accessAbstract
This paper develops a stochastic framework for the energy management of a microgrid to minimize the energy cost from the grid. It considers the uncertainties in solar photovoltaic (PV) generation, load demand, and electricity price. Furthermore, the opportunity of flexible load demand, i.e., the effect of demand response (DR), on the test system is studied. The uncertainties are modeled by using Monte Carlo simulations and the generated scenarios are reduced to improve the computational tractability. In general, microgrid scheduling is implemented by using substation (source node) price as a reference, but that reference price is not the same at all nodes. Therefore, this paper develops the nodal price based energy management in a microgrid to improve the scheduling accuracy. The stochastic energy management framework is formulated as a mixed integer non-linear programming (MINLP). Four case studies are simulated for a modified 15-node radial distribution network integrated with solar PV and battery energy storage system (BESS) to validate the effectiveness of the energy management framework for a microgrid with nodal pricing.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The hybrid PSOS-CGSA algorithm has demonstrated performance in solving various complex optimization problems such as distribution system state estimation, dynamic economic dispatch, and optimal power flow in distribution networks.
“Its performance in terms of simplicity, efficiency and robustness has been demonstrated in solving various complex optimization problems such as distribution system state estimation [23], dynamic economic dispatch [26], and optimal power flow in DNs [12].”
From Dynamic Optimal Power Dispatch in Unbalanced Distribution Networks with Single-Phase Solar PV Units and BESS (2023) · cites this paper as [12]
The System Model describes solving an optimal power flow problem to calculate nodal prices, and the Simulation Results test the approach on a 15-node distribution network. But the Simulation Results say the optimization is solved with GAMS and KNITRO, not the hybrid PSOS-CGSA algorithm; this paper therefore does not demonstrate that algorithm’s claimed performance. (LLM, conf=0.86)
Experimental — accuracy not yet measuredThe proposed PSOS-CGSA-based approach for OAPD leads to a large reduction in costs for electricity compared to the base case and the approach for OAPD in [12].
“The results in Figure 9 clearly indicate that the proposed PSOS-CGSA-based approach for OAPD leads to a large reduction in costs for electricity compared to the base case and the approach for OAPD in [12].”
From Dynamic Optimal Power Dispatch in Unbalanced Distribution Networks with Single-Phase Solar PV Units and BESS (2023) · cites this paper as [12]
PV and battery inverters have the ability to control generation/absorption of reactive power and can be used as an additional regulation resource in distribution networks.
“Depending on the nominal apparent power of the converter and the active power level of the corresponding PV source or battery, they have the ability to control the generation/absorption of reactive power, that is, they can be used as an additional regulation resource in DNs [12,20], as illustrated in Figure 1.”
From Dynamic Optimal Power Dispatch in Unbalanced Distribution Networks with Single-Phase Solar PV Units and BESS (2023) · cites this paper as [12]
The Network Modeling section (page unavailable) includes reactive-power flows, but its local-generation equation includes only active power from DG, PV and batteries. The Simulation Results section (page unavailable) reports improved voltage profiles with BESS and local generation, without attributing that improvement to inverter reactive-power control. Searches for reactive power, inverters and apparent power found no passage addressing the claimed inverter capability. (LLM, conf=0.76)
Experimental — accuracy not yet measuredCharging/discharging powers of BESS determined by the price-based coefficient aφ(t) as in [12] and [16] do not guarantee optimal dispatch of active power according to the adopted objective function.
“However, the charging/discharging powers of the BESS determined in this way do not guarantee the optimal dispatch of the active power according to the adopted objective function.”
From Dynamic Optimal Power Dispatch in Unbalanced Distribution Networks with Single-Phase Solar PV Units and BESS (2023) · cites this paper as [12]
The BESS Modeling section defines charging and discharging powers as variables constrained by battery limits, and the Objective Function section describes minimizing expected energy cost; neither discusses a price-based coefficient aφ(t). Searches for that coefficient and for a claim that it cannot guarantee optimal active-power dispatch found no supporting passage in our copy. The paper’s optimization approach does not, by itself, establish the claimed limitation of a different approach. (LLM, conf=0.72)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 26
- N. Hatziargyriou, Microgrids: Architectures and Control. New York, USA: John Wiley & Sons, 2014.
- Y. Yang, H. Li, A. Aichhorn et al., "Sizing strategy of distributed bat- tery storage system with high penetration of photovoltaic for voltage regulation and peak load shaving," IEEE Transactions on Smart Grid, vol. 5, no. 2, pp. 982-991, Mar. 2014.
- X. Shen, M. Shahidehpour, Y. Han et al., "Expansion planning of ac- tive distribution networks with centralized and distributed energy stor- age systems," IEEE Transactions on Sustainable Energy, vol. 8, no. 1, pp. 126-134, Jan. 2017.
- A. S. A. Awad, T. H. M. EL-Fouly, and M. M. A. Salama, "Optimal ESS allocation and load shedding for improving distribution system re- liability," IEEE Transactions on Smart Grid, vol. 5, no. 5, pp. 2339- 2349, Sept. 2014.
- S. W. Alnaser and L. F. Ochoa, "Optimal sizing and control of energy storage in wind power-rich distribution networks," IEEE Transactions on Power Systems, vol. 31, no. 3, pp. 2004-2013, May 2016.
- F. A. Chacra, P. Bastard, G. Fleury et al., "Impact of energy storage costs on economical performance in a distribution substation," IEEE Transactions on Power Systems, vol. 20, no. 2, pp. 684-691, May 2005.
- D. Prudhviraj, P. B. S. Kiran, and N. M. Pindoriya, "Day-ahead ener- gy management of a microgrid with battery energy storage integra- tion," in Proceedings of IEEE Innovative Smart Grid Technologies - Asia, Singapore, Singapore, Nov. 2018, pp. 822-827.
- A. Safdarian, M. Fotuhi-Firuzabad, and M. Lehtonen, "A stochastic framework for short-term operation of a distribution company," IEEE Transactions on Power Systems, vol. 28, no. 4, pp. 4712-4721, Nov. 2013..
- A. Gholami, T. Shekari, F. Aminifar et al., "Microgrid scheduling with uncertainty: the quest for resilience," IEEE Transactions on Smart Grid, vol. 7, no. 6, pp. 2849-2858, Nov. 2016.
- M. Mazidi, H. Monsef, and P. Siano, "Robust day-ahead scheduling of smart distribution networks considering demand response programs," Applied Energy, vol. 178, pp. 929-942, Sept. 2016.
- H. Akhavan-Hejazi and H. Mohsenian-Rad, "Energy storage planning in active distribution grids: a chance-constrained optimization with non-parametric probability functions," IEEE Transactions on Smart Grid, vol. 9, no. 3, pp. 1972-1985, May 2018.
- D. Papadaskalopoulos and G. Strbac, "Decentralized participation of flexible demand in electricity markets-part I: market mechanism," IEEE Transactions on Power Systems, vol. 28, no. 4, pp. 3658-3666, Nov. 2013.
- Z. Fan, "A distributed demand response algorithm and its application to PHEV charging in smart grids," IEEE Transactions on Smart Grid, vol. 3, no. 3, pp. 1280-1290, Sept. 2012.
- H. Zhong, L. Xie, and Q. Xia, "Coupon incentive-based demand re- sponse: theory and case study," IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 1266-1276, May 2013.
- A. Sheikhi, M. Rayati, S. Bahrami et al., "Integrated demand side management game in smart energy hubs," IEEE Transactions on Smart Grid, vol. 6, no. 2, pp. 675-683, Mar. 2015.
- S. Chen and C. C. Liu, "From demand response to transactive energy: state of the art," Journal of Modern Power Systems and Clean Energy, vol. 5, no. 1, pp. 10-19, Dec. 2017.
- B. Shahab and M. Hadi Amini, "A decentralized trading algorithm for an electricity market with generation uncertainty," Applied Energy, vol. 218, pp. 520-532, May. 2018.
- S. F. Santos, D. Z. Fitiwi, A. W. Bizuayehu et al., "Impacts of opera- tional variability and uncertainty on distributed generation investment planning: a comprehensive sensitivity analysis," IEEE Transactions on Sustainable Energy, vol. 8, no. 2, pp. 855-869, Apr. 2017.
- A. Safdarian, M. Fotuhi-Firuzabad, and M. Lehtonen, "A distributed algorithm for managing residential demand response in smart grids," IEEE Transactions on Industrial Informatics, vol. 10, no. 4, pp. 2385- 2393, Nov. 2014.
- A. J. Conejo, M. Carrión, J. M. Morales et al., "Decision making un- der uncertainty in electricity markets," Journal of the Operational Re- search Society, vol. 66, no. 1, pp. 174-174, Jan. 2015.
- P. Finn and C. Fitzpatrick, "Demand side management of industrial electricity consumption: promoting the use of renewable energy through real-time pricing," Applied Energy, vol. 113, pp. 11-21, Jan. 2014.
- D. H. O. McQueen, P. R. Hyland, and S. J. Watson, "Monte Carlo simulation of residential electricity demand for forecasting maximum demand on distribution networks," IEEE Transactions on Power Sys- tems, vol. 19, no. 3, pp. 1685-1689, Aug. 2004.
- S. Behboodi, D. P. Chassin, C. Crawford et al., "Renewable resources portfolio optimization in the presence of demand response," Applied Energy, vol. 162, pp. 139-148, Jan. 2016.
- M. Sedghi, A. Ahmadian, and M. Aliakbar-Golkar, "Optimal storage planning in active distribution network considering uncertainty of wind power distributed generation," IEEE Transactions on Power Sys- tems, vol. 31, no. 1, pp. 304-316, Jan. 2016.
- H. Yuan, F. Li, Y. Wei et al., "Novel linearized power flow and linear- ized OPF models for active distribution networks with application in distribution LMP," IEEE Transactions on Smart Grid, vol. 9, no. 1, pp. 438-448, Jan. 2018.
- A. Papavasiliou, "Analysis of distribution locational marginal prices," IEEE Transactions on Smart Grid, vol. 9, no. 5, pp. 4872-4882, Sept. 2018.
Cited by
Sorted by citations
Radosavljević, J., Ktena, A., Gajić, M., Milovanović, M., & Živić, J. (2023) · Energies · doi:10.3390/en16114356 · Cited by 10 · see citing works
- Authors
- Prudhviraj, D., B. S. Kiran, P., & M. Pindoriya, N.
- Affiliations
- Indian Institute of Technology Gandhinagar (IN)
- Venue
- Journal of Modern Power Systems and Clean Energy
- Published
- 2020
- Volume
- 8
- Issue
- 1
- Pages
- 102-110
- ISSN
- 2196-5420 (ISSN-L)
- 2196-5625
- OpenAlex
- W3002526184
- Cited by
- 41
- References
- 0
- Citations by year
- 2025: 7 · 2024: 9 · 2023: 4 · 2022: 13 · 2021: 6 · 2020: 2
- FWCI
- 3.09
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Journal of Modern Power Systems and Clean Energy (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Microgrid Control and Optimization
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Smart Grid Energy Management
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electric Power System Optimization
- Keywords
- microgrid energy management, locational marginal pricing, demand response, load demand uncertainty, electricity price uncertainty, scenario reduction, mixed-integer nonlinear programming, battery energy storage, microgrid scheduling, radial distribution systems
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review