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## Combined Real and Reactive Power Economic Dispatch using Multi-Objective Reinforced Learning with Optimized Losses

### Citations

46 |
A united approach to optimal real and reactive power dispatch,
- Lee, Park, et al.
- 1985
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Citation Context ...es. Deterministic methods have been used in pastsresearches to handle problems related with reactive power optimal flow .These includesUnified Method (UM) by Lee, K.Y, ParksY.M, and Ortiz, J. L, 1985 =-=[1]-=-s,Linear Programming (LP) and Quadratic Programmings(QP) by Serrano, B. R. Vargas, 2001s[2],Mean-Variance Mapping Optimization (MVMO) by Worawat Nakawiro et al, 2011 [3],Superiority of Feasible soluti... |

36 | Markets in real electric networks require reactive prices. - Hogan - 1996 |

21 |
Optimal reactive power dispatch using an adaptive genetic algorithm,”
- Wu, Cao, et al.
- 1998
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Citation Context ...ond Stochastic Chance-Constrained Model (SSCCM) by Lopez, J.C. et al, 2012s[5].Heuristic methodsssuch as Adaptive Genetic Algorithm (AGA) has also been consideredsbysQ.H. Wu, Y.J. Cao, J.Y. Wen, 1998s=-=[6]-=-.In all these works, the Cost function for the reactive power economic dispatch not formulated and further only Static reactivespower has been considered .Thus, there is need to formulate the reactive... |

17 | Reactive power is a cheap constraint. - Kahn, Baldick - 1994 |

15 |
Proportional sharing assumption in tracing methodology.
- Bialek, &Kattuman
- 2004
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Citation Context ...ch as genetic algorithm (GA) and ant colony algorithms (ACO) forspricing and Chung et al. 2004[23] proposed a coupled market framework for energy and reactive power. Further, Bialek andsKattuman,2004 =-=[22]-=- developed an integrated method to calculate both real and reactive power spot price and to decompose them intosthe prices of selected ancillary services.sRsInternational Journal of Scientific and Res... |

10 | Real time pricing of reactive power: Theory and case study results. - Baughman, Siddiqi - 1993 |

7 |
Reactive power pricing in deregulated environments using novel search methods.
- Niknam, Arabian, et al.
- 2004
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Citation Context ...which exalts the strengths and suppresses the weaknesses.sIn previous studies different techniques have been suggested to determine the reactive power pricing [15-23]. For example,sNiknam et al., 2004=-=[21]-=-, utilized various search techniques such as genetic algorithm (GA) and ant colony algorithms (ACO) forspricing and Chung et al. 2004[23] proposed a coupled market framework for energy and reactive po... |

5 | A Network-Based Distributed Slack Bus Model for DGs in Unbalanced Power Flow Studies - Tong, Miu - 2005 |

3 |
A new approach for cost allocation and reactive power pricing in a deregulated environment.
- Hasanpour, Ghazi, et al.
- 2009
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Citation Context ...on bound for thesunitsand is the error associated with thesequation. The problem is solved subject to the following constraints:sReactive Power Economic DispatchsAccording to Hasanpour, S., et al 2009=-=[15]-=- the fuel cost function for the reactive power output can be expressed assWheresandsaresthesreactive power cost coefficients calculated usingsa curve fittingsmethod,sis the reactivespower generatedsby... |

3 | Pricing of reactive power services. Oil Shale Estonian Acad. - Deksnys, Staniulis - 2007 |

3 |
Cost-based reactive power pricing with voltage security consideration in restructured power systems. Electr Power Syst Res.,70,
- Chung, Chung, et al.
- 2004
(Show Context)
Citation Context ...eactive power pricing [15-23]. For example,sNiknam et al., 2004[21], utilized various search techniques such as genetic algorithm (GA) and ant colony algorithms (ACO) forspricing and Chung et al. 2004=-=[23]-=- proposed a coupled market framework for energy and reactive power. Further, Bialek andsKattuman,2004 [22] developed an integrated method to calculate both real and reactive power spot price and to de... |

2 |
Active-reactive power economic dispatch of very short term in competitive electric markets
- Serrano, Vargas
- 2001
(Show Context)
Citation Context ... reactive power optimal flow .These includesUnified Method (UM) by Lee, K.Y, ParksY.M, and Ortiz, J. L, 1985 [1]s,Linear Programming (LP) and Quadratic Programmings(QP) by Serrano, B. R. Vargas, 2001s=-=[2]-=-,Mean-Variance Mapping Optimization (MVMO) by Worawat Nakawiro et al, 2011 [3],Superiority of Feasible solutions (SF),sSelf-adaptive Penalty (SP), εε-constraint (EC), Stochastic Ranking (SR), and the ... |

2 |
et al “Efficient constraint handling for optimal reactive power dispatch problems
- Mallipeddi
- 2012
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Citation Context ...,Superiority of Feasible solutions (SF),sSelf-adaptive Penalty (SP), εε-constraint (EC), Stochastic Ranking (SR), and the Ensemble of Constraint Handling Techniquess(ECHT) bysR. Mallipeddi et al,2012 =-=[4]-=- and Second Stochastic Chance-Constrained Model (SSCCM) by Lopez, J.C. et al, 2012s[5].Heuristic methodsssuch as Adaptive Genetic Algorithm (AGA) has also been consideredsbysQ.H. Wu, Y.J. Cao, J.Y. We... |

2 |
Optimal reactive power dispatch using stochastic chanceconstrained programming
- Lopez, Munoz, et al.
- 2012
(Show Context)
Citation Context ...), Stochastic Ranking (SR), and the Ensemble of Constraint Handling Techniquess(ECHT) bysR. Mallipeddi et al,2012 [4] and Second Stochastic Chance-Constrained Model (SSCCM) by Lopez, J.C. et al, 2012s=-=[5]-=-.Heuristic methodsssuch as Adaptive Genetic Algorithm (AGA) has also been consideredsbysQ.H. Wu, Y.J. Cao, J.Y. Wen, 1998s[6].In all these works, the Cost function for the reactive power economic disp... |

2 |
Sonmez “Estimation of Fuel cost curve parameters for thermal power plants using the ABC
- Yusuf
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Citation Context ...ge-related costs. The DED takes the ramp rate limits, valvespoints and prohibited operating zone of the generating units into consideration. The general form of DED was formulated by YusufsSomez, 2013=-=[7]-=- as is given byswheresaresthe cost coefficientssof thesunit, is the lower generation bound for thesunitsand is the error associated with thesequation. The problem is solved subject to the following co... |

2 | Participation Factor Studies for Distributed Slack Bus Models in Three-Phase Distribution Power Flow Analysis - Tong - 2006 |

2 | Slack Bus Modeling and Cost Analysis of Distributed Generator Installations - Tong, Miu - 2007 |

2 |
Nicodemus Abungu Odero ”Distributed Slack Bus Model for a Wind Based Distributed Generation using Combined Participation Factors
- Moses
- 2012
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Citation Context ...ORL (DSB-MORL)sTong and K.Miu [8-11] formulated a real power DSB using the Newton Raphson Method. In this case real power participationsfactors (PF) were utilized to model the losses. Musauset al,2012=-=[12]-=-sdevelopedsreactive power DSBsthen applied the results in [811] toscome up with combined DSBswhich can handle both real and reactive power. In this paper, this combined DSB has been usedsto optimize t... |

2 | A summary of algorithms in reactive power pricing. - M, E - 1999 |

1 |
et al "Reinforcement Learning Approaches to Economic Dispatch Problem
- Jasmin
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Citation Context ... CRRRED problems.sThis paper utilizes a hybrid of MORL and DSB for the first time.sa) Multi Objective Reinforced Learning[MORL]sThe RL used in this case hassbeen suggested by, E. A. Jasmin et al, 2011=-=[13]-=-.The solution consists of two phases: learning phasesand retrieval phase.To carry outstheslearningstask,sonesissuesissregarding how to selectsan action from thesactionsspace.sThe twoscommonly used act... |

1 | Combined active and reactive power dispatch using Particle Swarm Optimization
- Singh, Brar, et al.
- 2014
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Citation Context ...figure 7.0.sd) Comparison with other methodssTo show the effectiveness of the proposed formulation and methodology, results are compared with related work carried out bysresearchers; Singh et al.2014 =-=[14]-=- andsHasanpour et al., 2009[15].Table 11.0 shows the comparison of results obtained under thesIEEE 14 Bus System. Singh et al.2014 [14] used PSO which models the generators in terms of particles with ... |

1 | Odero Abungu, Cyrus Wabuge Wekesa. “Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions”. International Journal of Energy and Power Engineering - Musau, Nicodemus |