Reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism

Abstract With the increasing interconnection of the power grids, the imbalanced distribution between power generation and demand in different areas has been effectively alleviated. In practical power systems, the subsystems in different areas need to meet the load requirements of each subsystem, and the performance sharing among different subsystems is one way to increase system reliability. Moreover, each subsystem can be configured with redundancy techniques especially warm standby, which consumes less energy than hot standby and has a shorter recovery time than cold standby. Furthermore, both the generating units and the performance sharing mechanism may have more than binary states in practice. Therefore, in this paper, the reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism is proposed. Arbitrary state transition time distributions are allowed, and the successful activation probabilities for warm standby generating units are also embedded in the proposed model. The multi-state decision diagram (MSDD) technique is developed for system reliability evaluation. Time-dependent reliability is presented in illustrative examples to validate the proposed model and technique.

[1]  Wei Zhang,et al.  A Prognostic-Information-Based Order-Replacement Policy for a Non-Repairable Critical System in Service , 2015, IEEE Transactions on Reliability.

[2]  Enrico Zio,et al.  Definitions of generalized multi-performance weighted multi-state K¯-out-of-n system and its reliability evaluations , 2020, Reliab. Eng. Syst. Saf..

[3]  Gregory Levitin,et al.  Optimization of Component Allocation/Distribution and Sequencing in Warm Standby Series-Parallel Systems , 2017, IEEE Transactions on Reliability.

[4]  Roy Billinton,et al.  Reliability evaluation of power systems , 1984 .

[5]  Yi Ding,et al.  Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique , 2009, Reliab. Eng. Syst. Saf..

[6]  Liudong Xing,et al.  Reliability of demand-based phased-mission systems subject to fault level coverage , 2014, Reliab. Eng. Syst. Saf..

[7]  Yonghua Song,et al.  Reliability of demand-based warm standby system with common bus performance sharing , 2019 .

[8]  Yonghua Song,et al.  Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby , 2020, Reliab. Eng. Syst. Saf..

[9]  Jane Hillston,et al.  Availability Modeling of Generalized $k$ -Out-of- $n$ :G Warm Standby Systems With PEPA , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[10]  Yu Zhao,et al.  Reliability evaluation of non-repairable phased-mission common bus systems with common cause failures , 2017, Comput. Ind. Eng..

[11]  R. Billinton,et al.  A Reliability Test System for Educational Purposes-Basic Data , 1989, IEEE Power Engineering Review.

[12]  Enrico Zio,et al.  Dynamic Risk Assessment Based on Statistical Failure Data and Condition-Monitoring Degradation Data , 2018, IEEE Transactions on Reliability.

[13]  Randal E. Bryant,et al.  Graph-Based Algorithms for Boolean Function Manipulation , 1986, IEEE Transactions on Computers.

[14]  Liudong Xing,et al.  A Multiple-Valued Decision Diagram Based Method for Efficient Reliability Analysis of Non-Repairable Phased-Mission Systems , 2014, IEEE Transactions on Reliability.

[15]  Hui Xiao,et al.  Trade-off between maintenance and protection for multi-state performance sharing systems with transmission loss , 2019, Comput. Ind. Eng..

[16]  Yi Ding,et al.  Short-Term and Medium-Term Reliability Evaluation for Power Systems With High Penetration of Wind Power , 2014, IEEE Transactions on Sustainable Energy.

[17]  Li Yuan,et al.  Reliability analysis of a warm standby repairable system with priority in use , 2011 .

[18]  Rui Peng,et al.  Reliability of capacitated systems with performance sharing mechanism , 2019, Reliab. Eng. Syst. Saf..

[19]  Rui Peng,et al.  Optimal design of a linear sliding window system with consideration of performance sharing , 2020, Reliab. Eng. Syst. Saf..

[20]  Yi Ding,et al.  Operating Reliability Evaluation of Power Systems Considering Flexible Reserve Provider in Demand Side , 2019, IEEE Transactions on Smart Grid.

[21]  Liudong Xing,et al.  A New Decision-Diagram-Based Method for Efficient Analysis on Multistate Systems , 2009, IEEE Transactions on Dependable and Secure Computing.

[22]  Zhiqiang Cai,et al.  Recent advances in system reliability optimization driven by importance measures , 2020 .

[23]  Reliability analysis of Markov history-dependent repairable systems with neglected failures , 2017, Reliab. Eng. Syst. Saf..

[24]  Hui Xiao,et al.  Optimal allocation and maintenance of multi-state elements in series-parallel systems with common bus performance sharing , 2014, Comput. Ind. Eng..

[25]  Liudong Xing,et al.  Multi-Valued Decision Diagram-Based Reliability Analysis of $k$ -out-of-$n$ Cold Standby Systems Subject to Scheduled Backups , 2015, IEEE Transactions on Reliability.

[26]  Serkan Eryilmaz Reliability of a K-Out-of-n System Equipped With a Single Warm Standby Component , 2013, IEEE Transactions on Reliability.

[27]  Rui Peng,et al.  A Study of Optimal Component Order in a General 1-Out-of-$n$ Warm Standby System , 2015, IEEE Transactions on Reliability.

[28]  Hui Xiao,et al.  Optimal loading and protection of multi-state systems considering performance sharing mechanism , 2016, Reliab. Eng. Syst. Saf..

[29]  Wei Li,et al.  A Framework for Reliability Approximation of Multi-State Weighted $k$-out-of-$n$ Systems , 2010, IEEE Transactions on Reliability.

[30]  Rui Peng,et al.  A Study of Reliability of Multi-State Systems with Two Performance Sharing Groups , 2016, Qual. Reliab. Eng. Int..

[31]  Enrico Zio,et al.  A Multistate Physics Model of Component Degradation Based on Stochastic Petri Nets and Simulation , 2012, IEEE Transactions on Reliability.

[32]  Yi Ding,et al.  Reliability Evaluation for Demand-Based Warm Standby Systems Considering Degradation Process , 2017, IEEE Transactions on Reliability.

[33]  Erik Delarue,et al.  Impact of start-up mode on flexible power plant operation and system cost , 2016, 2016 13th International Conference on the European Energy Market (EEM).

[34]  Yu Zhao,et al.  Reliability of nonrepairable phased-mission systems with common bus performance sharing , 2018 .

[35]  Siqi Wang,et al.  Multi-state balanced systems in a shock environment , 2020, Reliab. Eng. Syst. Saf..

[36]  Liudong Xing,et al.  Binary decision diagram-based reliability evaluation of k-out-of-(n + k) warm standby systems subject to fault-level coverage , 2013 .

[37]  Gregory Levitin,et al.  Reliability of multi-state systems with common bus performance sharing , 2011 .

[38]  Jun Yang,et al.  Reliability analysis of repairable multi-state system with common bus performance sharing , 2014, Reliab. Eng. Syst. Saf..

[39]  Chanan Singh,et al.  A new approach to reliability evaluation of interconnected power systems including planned outages and frequency calculations , 1992 .

[40]  Jun Yang,et al.  Reliability of demand-based warm standby systems subject to fault level coverage , 2015 .

[41]  Hui Xiao,et al.  Reliability of multi-state systems with a performance sharing group of limited size , 2017, Reliab. Eng. Syst. Saf..

[42]  Siqi Wang,et al.  Reliability analysis of multi-state k-out-of-n: G system with common bus performance sharing , 2018, Comput. Ind. Eng..

[43]  Wei Huang,et al.  A reliability model of a warm standby configuration with two identical sets of units , 2015, Reliab. Eng. Syst. Saf..

[44]  Charles E. Wells,et al.  Reliability analysis of a single warm-standby system subject to repairable and nonrepairable failures , 2014, Eur. J. Oper. Res..

[45]  Gregory Levitin,et al.  Reliability of Non-Coherent Warm Standby Systems With Reworking , 2015, IEEE Transactions on Reliability.