Abstract

The high penetration of distributed generation (DG) units with their power-electronic interfaces may lead to various power quality problems, such as excessive harmonic distortions and increased non-sinusoidal power losses. In this paper, the probabilistic hosting capacity (PHC) due to the high penetration of photovoltaic units in a non-sinusoidal power distribution system is investigated. A C-type harmonic filter is proposed, to maximize the harmonic-constrained PHC. An optimization problem is formulated by using a Monte Carlo simulation, taking into account various uncertain parameters, such as the intermittent output power of the DGs, background voltage harmonics, load alteration, and the filter parameters’ variations. In addition, different operational constraints have been considered, such as the bus voltage, line thermal capacity, power factor, and individual and total harmonic distortion limits. A swarm-based, meta-heuristic optimization algorithm known as the hybrid particle swarm optimization and gravitational search algorithm (PSOGSA) has been examined for the optimal design of the proposed filter. Besides, other optimization algorithms were examined for validation of the solution. The PHC results obtained are compared with the conventional deterministic HC (DHC) results, and it is found that the PHC levels are higher than those obtained by conservative HC procedures, practical rules of thumb, and the DHC approaches.

Highlights

  • Renewable energy resources play a vital role in current energy systems, driven by their sustainability, eco-friendliness, and techno-economic advantages [1,2]

  • hosting capacity (HC) assessment should not beina handled as asuch deterministic problem in this work, to consider the uncertainties present the system as the intermittent output of the distributed generation (DG), background harmonics, alteration, and the filter considering parameters’

  • This conclusion has been recently verified by numerous studies, as it was concluded that deterministic HC (DHC) studies, which ignore the uncertainty of electrical parameters, resulting in conservative HC levels that usually lead to a noticeable underestimation of the HC levels [28,29,30]

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Summary

Introduction

Renewable energy resources play a vital role in current energy systems, driven by their sustainability, eco-friendliness, and techno-economic advantages [1,2]. Energy storage systems (ESSs) allow for efficient decoupling between the load demand and energy generation They may help in mitigating the overvoltage arising from excessive DG integration and enhancing the system’s HC, as well as having well-known benefits such as voltage control, power loss reduction, and peak demand shedding [21,22,23]. Unauthorized DG units may cause reliability and power quality (PQ) issues and implications In this regard, the proposed PHC enhancement via harmonic mitigation is believed to provide a way forward for the development of non-sinusoidal power distribution systems with additional nonlinear loads and DG alliance room, while complying with the system operation and reliability requirements.

Mathematical Model Formulation
System Modeling
Line Model
Load Model
PV System Model
Bus Voltage Constraint
DG Capacity Constraint
Displacement and True Power Factors Constraints
Harmonic Distortion Constraints
Search Algorithm
PSOGSA Algorithm
PSO Algorithm
CSA Algorithm
System Under Study
DHC Results
PHC Results
Probabilistic load parameters
Effect
Conclusions
Full Text
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