Cited by 41Microgrid Control and OptimizationSmart Grid Energy ManagementElectric Power System Optimization

Stochastic Energy Management of Microgrid with Nodal Pricing

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Prudhviraj, Dhanapala, B. S. Kiran, P., M. Pindoriya, Naran·2020·Journal of Modern Power Systems and Clean Energy

Abstract

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.

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  • 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 measured
  • 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].

    “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].”
  • 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 measured
  • Charging/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

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Cites

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Research works printed but not linked: 26

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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
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

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