### Abstract

Stochastic hybrid systems (SHS) are a class of stochastic processes with a state space composed of a discrete state and a continuous state. The transitions of the discrete state are random, and the rates at which these transitions occur are, in general, a function of the value of the continuous state. For each value that the discrete state takes - referred to subsequently as modes of the system - the evolution of the continuous state is described by a stochastic differential equation. The vector fields that govern the evolution of the continuous state in each mode depend on the operational characteristics of the system in that mode. Reset maps associated with mode transitions define how the discrete and continuous states map into posttransition discrete and continuous states.

Original language | English (US) |
---|---|

Title of host publication | Reliability of Power Electronic Converter Systems |

Publisher | Institution of Engineering and Technology |

Pages | 287-301 |

Number of pages | 15 |

ISBN (Electronic) | 9781849199025 |

ISBN (Print) | 9781849199018 |

DOIs | |

State | Published - Jan 1 2016 |

### Fingerprint

### Keywords

- Continuous state
- Differential equations
- Discrete state
- Hybrid power systems
- Post-transition continuous state
- Post-transition discrete state
- Power electronic system performance
- Power electronic system reliability analysis
- Power electronics
- Power system reliability
- Stochastic differential equation
- Stochastic hybrid system model
- Stochastic processes

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Reliability of Power Electronic Converter Systems*(pp. 287-301). Institution of Engineering and Technology. https://doi.org/10.1049/PBPO080E_ch11

**Stochastic hybrid systems models for performance and reliability analysis of power electronic systems.** / Dhople, Sairaj V.; Krein, Philip T.; Domínguez-García, Alejandro D.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Reliability of Power Electronic Converter Systems.*Institution of Engineering and Technology, pp. 287-301. https://doi.org/10.1049/PBPO080E_ch11

}

TY - CHAP

T1 - Stochastic hybrid systems models for performance and reliability analysis of power electronic systems

AU - Dhople, Sairaj V.

AU - Krein, Philip T.

AU - Domínguez-García, Alejandro D.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Stochastic hybrid systems (SHS) are a class of stochastic processes with a state space composed of a discrete state and a continuous state. The transitions of the discrete state are random, and the rates at which these transitions occur are, in general, a function of the value of the continuous state. For each value that the discrete state takes - referred to subsequently as modes of the system - the evolution of the continuous state is described by a stochastic differential equation. The vector fields that govern the evolution of the continuous state in each mode depend on the operational characteristics of the system in that mode. Reset maps associated with mode transitions define how the discrete and continuous states map into posttransition discrete and continuous states.

AB - Stochastic hybrid systems (SHS) are a class of stochastic processes with a state space composed of a discrete state and a continuous state. The transitions of the discrete state are random, and the rates at which these transitions occur are, in general, a function of the value of the continuous state. For each value that the discrete state takes - referred to subsequently as modes of the system - the evolution of the continuous state is described by a stochastic differential equation. The vector fields that govern the evolution of the continuous state in each mode depend on the operational characteristics of the system in that mode. Reset maps associated with mode transitions define how the discrete and continuous states map into posttransition discrete and continuous states.

KW - Continuous state

KW - Differential equations

KW - Discrete state

KW - Hybrid power systems

KW - Post-transition continuous state

KW - Post-transition discrete state

KW - Power electronic system performance

KW - Power electronic system reliability analysis

KW - Power electronics

KW - Power system reliability

KW - Stochastic differential equation

KW - Stochastic hybrid system model

KW - Stochastic processes

UR - http://www.scopus.com/inward/record.url?scp=85014228455&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014228455&partnerID=8YFLogxK

U2 - 10.1049/PBPO080E_ch11

DO - 10.1049/PBPO080E_ch11

M3 - Chapter

AN - SCOPUS:85014228455

SN - 9781849199018

SP - 287

EP - 301

BT - Reliability of Power Electronic Converter Systems

PB - Institution of Engineering and Technology

ER -