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January 17, 2026Energies0 citationsOpen Access

Optimal Operation of Distribution Networks Considering an Improved Voltage Stability Margin

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CDChen DaiSYSitong YanCYChuang Yu

Key Points

  • The study aims to enhance voltage stability in distribution networks with increased renewable energy integration by developing a new optimization approach.
  • Developed an enhanced static voltage stability margin ratio (SVSMR) index.
  • Constructed a multi-objective mixed-integer optimisation model.
  • Used the PS_CAD simulation platform for performance evaluation.
  • Applied the epsilon constraint method to generate a Pareto frontier solution set.
  • Demonstrated effective reduction in operating costs of the distribution network.
  • Ensured improved voltage stability margins throughout the system.
  • Achieved collaborative optimisation of source, network, load, and storage resources.

Abstract

To address the voltage instability in distribution networks with a high penetration of renewable energy, a multi-objective optimal scheduling method is proposed based on an enhanced static voltage stability margin ratio (SVSMR). The SVSMRd index suitable for complex distribution networks is constructed by analytical derivation and equivalent impedance correction, and the distributed access characteristics of distributed power generation are considered. Based on the simulation analysis of the PSCAD simulation platform, the effectiveness and engineering applicability of the SVSMRd index are compared in the multi-energy station distribution network scenario, and the calculation results of SVSMRF and SDSCR are used to verify it. A multi-objective mixed-integer optimisation model is constructed, with the objective function encompassing electricity purchase cost, network loss cost, and energy storage revenue, and the lowest value of the SVSMRd index of various new energy nodes is used as the optimisation object to carry out stability targets. Based on the epsilon constraint method, a Pareto frontier solution set is generated through example analysis, which has non-dominant characteristics. The results of the example analysis show that the proposed method can effectively reduce the operating cost, ensure the voltage stability margin of the system, and realise the collaborative optimisation of source–network–load–storage resources. This paper provides a new idea and method for the optimal operation of the distribution network, and optimises the distribution network under a high proportion of new energy access in the distribution network.

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Cite This Study

Dai et al. (2026) studied this question.

synapsesocial.com/papers/696b25a9d2a12237a9348f0fhttps://doi.org/10.3390/en19020426
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