# Power System Event Ranking Using a New Linear Parameter-Varying Modeling with a Wide Area Measurement System-Based Approach

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## Abstract

**:**

## 1. Introduction

- Considering not only steady-state response but also the dynamical behavior of the system after event occurrence.
- Using polytopic LPV modeling for covering the nonlinearity of the system in transient responses.
- Proposing some new and enhanced indices and comparing them using nonlinear simulations.

## 2. LPV Model for Power System Event Condition

## 3. The Proposed Indices for Event Ranking

#### 3.1. Non-Linear TDS Based Ranking Index

#### 3.2. Modal Based Event Ranking Index

#### 3.3. FR Based Event Ranking Index

## 4. Simulation Results and Evaluation

#### 4.1. Power System Representation

#### 4.2. Nonlinear Simulation of Event Conditions

#### 4.3. Linear Models of Power System for Event Conditions

#### 4.4. Ranking Results

_{0}= 0 s and t

_{1}= 8 s. MP and FREAE which are defined in (13) and (16) respectively, are calculated using full-order polytopic LPV models.

#### 4.5. Discussion of Results

#### 4.6. Ranking Evaluation in Different Conditions

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

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**Figure 1.**Power system under study with 9-bus [37]. Reproduced with permission from publishing company, 2014.

**Figure 6.**Normalized active power of Line 4–6 per steady-state value for events with a new fault location in various operation scenarios: (

**a**) Scenario 1; (

**b**) Scenario 2; (

**c**) Scenario 3; (

**d**) Scenario 4; (

**e**) Scenario 5.

Event Number | Description | |
---|---|---|

Affected Line | Fault | |

1 | Line 5–7 | - |

2 | Line 8–9 | 3ph-SHC |

3 | Line 7–8 | 3ph-SHC |

4 | Line 6–9 | 3ph-SHC |

5 | Line 5–7 | 3ph-SHC |

6 | Line 4–5 | 3ph-SHC |

Rank | Event No. | NTDSITAE | Event No. | MP | Event No. | FREAE |
---|---|---|---|---|---|---|

1 | 2 | 7.89 | 2 | 21.43 | 5 | 88.11 |

2 | 5 | 5.03 | 3 | 21.19 | 6 | 74.06 |

3 | 6 | 2.49 | 5 | 15.48 | 1 | 72.73 |

4 | 1 | 2.27 | 1 | 14.29 | 3 | 72.49 |

5 | 3 | 0.88 | 4 | 14.29 | 2 | 72.41 |

6 | 4 | 0.14 | 6 | 14.05 | 4 | 70.69 |

Scenario Number | System Generation | System Loads | ||||
---|---|---|---|---|---|---|

G1 | G2 | G3 | LoadA | LoadB | LoadC | |

1 | 99 + j34 | 159 + j34 | 93 + j24 | 131 + j64 | 99 + j48 | 115 + j56 |

2 | 110 + j33 | 139 + j38 | 70 + j22 | 125 + j68 | 90 + j51 | 100 + j59 |

3 | 70 + j19 | 161 + j11 | 74 − j6 | 116 + j47 | 86 + j29 | 97 + j34 |

4 | 71 + j27 | 163 + j7 | 85 − j11 | 125 + j50 | 90 + j30 | 100 + j35 |

5 | 155 + j20 | 163 − j15 | 0 | 125 + j36 | 90 + j26 | 100 + j29 |

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**MDPI and ACS Style**

Abolhasani Jabali, M.B.; Kazemi, M.H.
Power System Event Ranking Using a New Linear Parameter-Varying Modeling with a Wide Area Measurement System-Based Approach. *Energies* **2017**, *10*, 1088.
https://doi.org/10.3390/en10081088

**AMA Style**

Abolhasani Jabali MB, Kazemi MH.
Power System Event Ranking Using a New Linear Parameter-Varying Modeling with a Wide Area Measurement System-Based Approach. *Energies*. 2017; 10(8):1088.
https://doi.org/10.3390/en10081088

**Chicago/Turabian Style**

Abolhasani Jabali, Mohammad Bagher, and Mohammad Hosein Kazemi.
2017. "Power System Event Ranking Using a New Linear Parameter-Varying Modeling with a Wide Area Measurement System-Based Approach" *Energies* 10, no. 8: 1088.
https://doi.org/10.3390/en10081088