Abstract

As the number and capacity of photovoltaic (PV) power stations increase, it is of great significance to evaluate the PV-connected power systems in an effective, reasonable, and quick way. In order to overcome the challenge of PV’s time-sequential characteristic and improve upon the computational efficiency, this paper presents a new methodology to evaluate the reliability of the power system with photovoltaic power stations, which combines intelligent state space reduction and a pseudo-sequential Monte Carlo simulation (PMCS). First, a non-aggregate Markov model of photovoltaic output is established, which effectively retains some time-sequential representation of the PV output. Then, the differential evolution algorithm (DE) is introduced into the sampling stage of PMCS to carry out an intelligent state space reduction (ISSR). By using the DE algorithm, success states are searched out and removed, thus the state space is reduced and formed with a high density of loss-of-load. Hence, unnecessary samplings are avoided, which optimizes the PMCS sampling mechanism and improves the computational efficiency. Finally, the proposed method is tested in the modified IEEE RTS-79 system. The results indicate that this new method has a better computational efficiency than the time-sequential Monte Carlo simulation method (TMCS) and pure PMCS. In addition, the effectiveness and feasibility of this method are also verified.

Highlights

  • As photovoltaic (PV) power generation is one of the most important renewable energies, grid-connected photovoltaic power stations have aroused attention around the world and have been developed and utilized rapidly

  • In view of all the above considerations, this paper proposes a kind of pseudo-sequential Monte Carlo simulation (PMCS) method based on efficiency of PMCS

  • As for the new algorithm, the state space with a high density of loss-of-load is established by intelligent state space reduction (ISSR), which greatly reduces the computational time of reliability indices and the total computation efficiency has been improved

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Summary

Introduction

As photovoltaic (PV) power generation is one of the most important renewable energies, grid-connected photovoltaic power stations have aroused attention around the world and have been developed and utilized rapidly. Due to the continuous development of modern power systems and the increasing improved reliability level of the system as well as its components, the computational efficiency of MCS is gradually reduced. Taking into account that a large scale of renewable energies and other components connect to the grid, the non-sequential Monte Carlo method is no longer applicable due to the time sequential properties of the components and correlation with the adjacent system states cannot be depicted. It is shown that the time-consumption of the pseudo-sequential simulations is mainly due to a large number of ineffective states (success state) that are sampled and evaluated in the non-sequential process [19]. PhotovoltaicSecondly, power generation is builtevolution to make algorithm is introduced in theofprocess of intelligent state space reduction, thedifferential success states can be it appropriate to the process a pseudo-sequential simulation.

Non-Aggregate Markov Model of Photovoltaic Output
Basic Theory of PMCS
Computation of PMCS Reliability Indices
E H LOLP 1 N
Xi X f
The Concept of Intelligent State Space Reduction
The Effects of Generations on Computational Efficiency
Algorithm Comparison
Findings
Conclusions
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