Test Case | nB | nL | nG | Modifications | # of Local Optima | % Difference |
---|---|---|---|---|---|---|

WB2 | 2 | 1 | 1 | - | 2 | 3.18 |

WB3 | 3 | 2 | 1 | - | 2 | 0.21 |

WB5 | 5 | 6 | 2 | - | 2 | 14.34 |

LMBM3 | 3 | 3 | 3 | - | 5 | 69.94 |

case9mod | 9 | 9 | 3 | Lower bounds on reactive power generation of all generators = -3 MVars, demand scaled to 60% |
4 | 50.80 |

case22loop | 30 | 30 | 15 | - | 2 | 33.69 |

case39mod1 | 39 | 46 | 10 | Voltage bounds tightened to ±5% |
2 | 115.48 |

case39mod2 | 39 | 46 | 10 | Voltage bounds tightened to ±5%, only linear cost coefficients used |
16 | 0.53 |

case118mod | 118 | 186 | 54 | Generators real and reactive power bounds scaled by 7 |
3 | 50.97 |

case300mod | 300 | 411 | 69 | Lower bounds on reactive power generation of all generators = -3 MVars, demand scaled to 60% |
7 | 2.52 |

Test Case | Modifications | # of Local Optima | % Difference |
---|---|---|---|

LMBM3_50 | ±10% voltage bounds | 2 | 100.00 |

WB5mod | ±10% voltage bounds | 3 | 117.32 |

case30loop | ±5% voltage bounds | 2 | 33.69 |

case30loopmod1 | ±10% voltage bounds | 3 | 132.90 |

case39mod3 | Power generation bounds scaled by 4, ±5% voltage bounds only linear objective coefficients considered |
5 | 1.11 |

case39mod4 | Real and reactive demand halved, ±5% voltage bounds linear objective coefficients perturbed |
3 | 51.08 |

case118mod2 | Power generation bounds scaled by 4, ±10% voltage bounds only linear objective coefficients considered |
2 | 37.70 |

case300mod2 | Power generation bounds scaled by 4, ±10% voltage bounds only linear objective coefficients |
2 | 0.07 |

- 14 Bus Global Solution
- 14 Bus Local Solution 1
- 14 Bus Local Solution 2
- 14 Bus with scaled demand Global Solution
- 14 Bus with scaled demand Local Solution
- 30 Bus Global Solution
- 30 Bus Local Solution 1
- 30 Bus Local Solution 2

- MATLAB script to write csv file from .mat data

(writedata.m) - MATLAB script to write txt file from .mat data

(writedatacsv.m) - MATLAB script to write MATPOWER loop network file of size n

(write_loop.m) - MATLAB script to draw circular figures for loop solutions

(loop_figures.m)

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