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An analysis of delay-constrained consensus-based optimal algorithms in virtual power plants.

Chengrong Lin¹, Bo Hu¹, Changzheng Shao¹

¹State Key Laboratory of Power Transmission Equipment and System Security at Chongqing University, Chongqing 400044, China.

ISA Transactions

|July 5, 2021

Summary

This study enhances virtual power plant (VPP) optimal dispatch algorithms to overcome communication delays. The modified algorithm ensures convergence to the lowest operating cost, even with network latency.

Keywords:

Consensus Distributed optimal dispatch Time-varying delays Virtual power plants (VPPs)

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Area of Science:

Electrical Engineering
Control Theory
Distributed Systems

Background:

Virtual Power Plants (VPPs) utilize distributed optimal dispatch for cost minimization.
Communication network delays in VPPs can cause algorithm divergence and suboptimal solutions.

Purpose of the Study:

To develop a robust consensus-based distributed optimal dispatch algorithm for VPPs that mitigates time-varying communication delays.
To analyze the convergence properties and performance of the modified algorithm.

Main Methods:

Designing novel update rules for the consensus-based algorithm to handle time-varying delays.
Employing a reduction approach to evaluate algorithm performance under delay conditions.
Deriving an analytical expression for the gain parameter.

Main Results:

The modified algorithm guarantees convergence to the optimal dispatch solution under specific conditions (connected topology, small gain).
Convergence time is influenced by maximum time delays, the number of generators, and desired accuracy.
Numerical simulations validate the theoretical findings.

Conclusions:

The proposed algorithm effectively addresses communication delays in VPP distributed optimal dispatch.
The findings provide theoretical and practical insights for designing resilient VPP control systems.