Reliability Analysis of Electrical Power System Using Graph Theory and Reliability Block Diagram

Boussahoua, Bouziane; Elmaouhab, Ali

doi:10.1109/cagre.2019.8713175

Cited by 11 publications

(8 citation statements)

References 11 publications

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“…The MCT calculates all the states of the system's probabilities by presenting the transition between states [38]. To calculate the system's probabilities, the MCT starts by establishing a transition matrix and representing all states' transitions.…”

Section: B Markov Process Techniquementioning

confidence: 99%

“…Each generator has failure and repair rates λ1, μ1, λ2, μ2, λ3, and μ3, respectively. As Markov process, the probability cases number is equal to 2 3 cases [38]. In an electrical power system, the generator's failure and repair are represented by on-state and off-state, respectively.…”

Section: B Markov Process Techniquementioning

confidence: 99%

“…[ −(λ1 + λ2 + λ3) µ1 µ2 0 µ3 0 0 0 λ1 − (µ1 + λ2 + λ3) 0 µ2 0 µ3 0 0 λ2 0 − (µ2 + λ1 + λ3) µ1 0 0 µ3 0 0 λ2 λ1 − (µ2 + µ1 + λ3) 0 0 0 µ3 λ3 0 0 0 − (µ3 + λ1 + λ2) µ1 µ2 0 0 λ3 0 0 λ1 − (µ3 + µ1 + λ2) 0 µ2 0 0 0 0 λ1 0 − (µ3 + µ2 + λ1) µ1 0 0 0 λ3 0 λ2 λ1 − (µ3 + µ2 + µ1)]x[Pr] = [0] (8)As Markov assumption, the sum of all states of system's probabilities is equal to one[38] µ1 + λ2 + λ3) 0 µ2 0 µ3 0 0 λ2 0 − (µ2 + λ1 + λ3) µ1 0 0 µ3 0 0 λ2 λ1 − (µ2 + µ1 + λ3) 0 0 0 µ3 λ3 0 0 0 − (µ3 + λ1 + λ2) µ1 µ2 0 0 λ3 0 0 λ1 − (µ3 + µ1 + λ2) 0 µ2 0 0 0 0 λ1 0 − (µ3 + µ2 + λ1) µ1 0 0 0 λ3 0 λ2 λ1 − (µ3 + µ2 + µ1)]By solving the Markov equation, the system's probabilities can be determined. The Pr8 represents the complete shut down of the generation system and unacceptable state.…”

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confidence: 99%

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Optimal Reliability Study of Grid-Connected PV Systems Using Evolutionary Computing Techniques

et al. 2021

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Integrating renewable energy sources (RESs) into electrical power systems has gotten highly noticeable among researchers and those interested in electrical energy production due to the increase in energy demands, fossil fuel exhaustion, and ecological effects. PV-based renewable energy generation is one of the essential RESs that has appeared and had played a vital role in electrical power systems recently due to their advantages. In this regard, this paper presents a multi-objective computation problem for optimal siting and the design of grid-tied PV systems to achieve optimum generating reliability, considering some states of different generation probabilities. The proposed paper studies the evaluation of the grid-tied PV systems reliability, the states of generation probabilities, the generation buses availabilities, the capacities of the generation's system in or out of service for each failure state, and the frequency and mean duration of generation failure states. The presented multi-objective computation problem is optimized using a modified adaptive accelerated particle swarm optimization (MAACPSO) algorithm. The effectiveness of the proposed method is demonstrated through IEEE_EPS_24_bus integrated with PV systems. Results revealed the ability of MAACPSO to solve the multi-objective optimization problem presented, consequently supporting the system reliability.

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Section: B Markov Process Techniquementioning

confidence: 99%

Section: B Markov Process Techniquementioning

confidence: 99%

mentioning

confidence: 99%

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Optimal Reliability Study of Grid-Connected PV Systems Using Evolutionary Computing Techniques

et al. 2021

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“…In the past few years, researchers focused on probability and reliability assessment of the electrical power system in case of generation, transmission, and distribution by using different techniques to achieve the aims. Boussahoua and Elmaouhab [3], presented an assessment of the electrical power transmission system reliability by using block diagram and graph theories for IEEE 9 bus system. The results show that, the effect of the classification of nodes according to their reliability, the effect of disconnections of nodes and transmission branches on reliability.…”

Section: Figure 1 Electrical Power System Hierarchical Levels Diagrammentioning

confidence: 99%

“…The analytical model presents clearly representation of all the states of a system and also the transition between these states [3], [24]. Three steps are required to achieve the analytical Markov model which are named zero one matrix construction, transition Markov matrix, and solving the Markov equation.…”

Section: Markov Processmentioning

confidence: 99%

Reliability assessment for electrical power generation system based on advanced Markov process combined with blocks diagram

Tawfiq¹,

el-Raouf

Elgawad

et al. 2021

IJECE

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This paper presents the power generation system reliability assessment using an advanced Markov process combined with blocks diagram technique. The effectiveness of the suggested methodology is based on HL-I of IEEE_EPS_24_bus. The proposed method achieved the generation reliability and availability of an electrical power system using the Markov chain which based on the operational transition from state to state which represented in matrix. The proposed methodology has been presented for reliability performance evaluation of IEEE_EPS_24_bus. MATLAB code is developed using Markov chain construction. The transition between probability states is represented using changing the failure and repair rates. The reduced number of generation system are used with Markov process to assess the availability, unavailability, and reliability for the generation system. Additionally, the proposed technique calculates the frequency, time duration of states, the probability of generation capacity state which get out of service or remained in service for each state of failure, and reliability indices. A considerable improvement in reliability indices is found with using blocks diagram technique which is used to reduce the infinity number of transition states and assess the system reliability. The proposed technique succeeded at achieving accurate and faster reliability for the power system.

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Assessing Infrastructure Resilience: Approaches and Considerations

Serdar,

Al‐Ghamdi

2023

Sustainable Cities in a Changing Climate

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Reliability Analysis of Electrical Power System Using Graph Theory and Reliability Block Diagram

Cited by 11 publications

References 11 publications

Optimal Reliability Study of Grid-Connected PV Systems Using Evolutionary Computing Techniques

Optimal Reliability Study of Grid-Connected PV Systems Using Evolutionary Computing Techniques

Reliability assessment for electrical power generation system based on advanced Markov process combined with blocks diagram

Assessing Infrastructure Resilience: Approaches and Considerations

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