A piecewise probabilistic harmonic power flow approach in unbalanced residential distribution systems

Xie, Xiangmin; Sun, Yuanyuan

doi:10.1016/j.ijepes.2022.108114

Cited by 63 publications

(21 citation statements)

References 34 publications

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“…Also, this network has a base voltage and power of 4.16 kV and 5 MW, the minimum and maximum voltage amplitudes of 0.9 to 1.05 per unit (p.u.) [59][60][61][62][63][64][65]. In addition, the network has 12 lines, the various specifcations of which are presented in [58].…”

Section: Problem Datamentioning

confidence: 99%

Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads

Jin

Moradi

Rashidi

2023

International Transactions on Electrical Energy Systems

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The distribution network is generally unbalanced due to the distribution of consumers in different phases and the different status of their energy consumption. Also, in recent years, the utilization of distributed generations (DGs) has flourished in the distribution network, thanks to their favorable operational and environmental benefits. Therefore, it is predicted that the optimal energy management of DGs in the unbalanced distribution network can improve the operation state of the network. Moreover, the consumer load model is generally a combination of constant impedance, constant current, and constant power conditions. Therefore, the current study focuses on the analysis of the operation of unbalanced four-wire distribution systems containing DGs, in which load models are also involved. An optimization structure is established to make the voltage deviation, power loss, neutral wire loss, and voltage unbalance minimized. Limitations of the problem include those related to the network and those concerning operating indices of the system like voltage magnitude and phase angle of buses, power flow through the distribution lines, constraints of operation of DGs, load model, and unbalanced conditions. The problem formed in this study is nonlinear and is solved using sequential quadratic programming (SQP) by implementing it in the GAMS simulation environment. To test the benefits of the introduced approach, a 13-bus distribution system has been adopted so that the optimal operation of DGs in the distribution network has been able to reduce the unbalanced situation of the network compared to the power flow studies. Also, this scheme has improved the operation of network, where energy losses and voltage drop have been reduced compared to power flow studies, and a smooth voltage profile has been extracted.

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Section: Problem Datamentioning

confidence: 99%

Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads

Jin

Moradi

Rashidi

2023

International Transactions on Electrical Energy Systems

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“…Equations ( 2)-( 11) present the limits on the operation of the SDN. The model of AC power flow is described by Equations (2)-( 6) [44][45][46][47][48]. These equations present the active-reactive power balance on the buses, active-reactive power flow on the lines, and phase angle of voltage of the slack (reference) bus [1,6].…”

Section: Sdn Modelmentioning

confidence: 99%

Energy management of distribution network with inverter‐based renewable virtual power plant considering voltage security index

Azarhooshang,

Rezazadeh

2023

IET Renewable Power Gen

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Virtual power plants (VPP) with resources and storages are able to control the active power of the network. They are also connected to the network through an inverter, which is capable of controlling reactive power. Therefore, it is expected that the optimal use of inverter‐based VPP can play an effective role in improving the economic and technical status of the distribution network. So, the operation of a smart distribution system is presented in this paper by considering inverter‐based VPPs constrained to the operator's measures. The weighted sum of expected energy loss (EEL) and voltage security index (VSI) is minimized while considering AC optimal power flow equations, restrictions of network's security, and operating model of the inverter‐based VPPs. Uncertainties with an origin of the amount of demand, renewable energy, and parameters of mobile energy storage are also discussed. The uncertainties are modelled using a stochastic optimization approach relying on the unscented transformation (UT). Evaluating inverter‐based VPP performance, providing models of flexible resources such as responsive loads and mobile storages, checking network voltage security status, and modelling uncertainties using the UT method are among the innovations of this study. According to the results, it is demonstrated that the technical situation of the distribution system is improved with the help of optimal management of the VPP. With energy management of the inverter‐based VPP, the suggested design has succeeded to enhance the operating status (voltage security) of the system by approximately 33–73% (12%) in comparison to power flow studies.

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“…Thus, constraint () is stated as

P_{g,l,\omega }^{eG} = \bar{P}_g^{eG}z_g^{eG}u_{g,\omega }^{eG}

. Operating limits of the electricity transmission network are provided in constraints ()–() [36, 40–42]. Constraint () represents the limitation of maximum apparent power flow through transmission lines, and amplitude and phase angle limitations of electric bus voltages are modelled in () and (), respectively [43–45].…”

Section: Formulation Of the Gtep In Resilience‐constrained Electricit...mentioning

confidence: 99%

Resilience‐oriented expansion planning of multi‐carrier microgrid utilizing bi‐level technique

Dehshiri Badi,

Amir,

Shariatmadar

2023

IET Renewable Power Gen

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This paper presents the generation and transmission expansion planning (GTEP) in electricity and gas networks by considering their resilience against floods and earthquakes. These networks supply electricity, heat, and gas consumption energies as a multi‐carrier microgrid. The scheme is expressed in the form of bi‐level optimization, the upper level of which is the minimization of generation and transmission planning cost (total investment cost and expected operating cost) in the mentioned networks constrained to the investment budget and the planning model of the mentioned elements. Lower‐level formulation minimizes the total expected annual operating cost of these networks and the expected outage cost of electricity, heat, and gas consumers in the event of floods and earthquakes. This formulation is bound by the power flow equations of electricity and gas networks, the operation and resilience constraints of the networks, and the limitation on generation capability. In this problem, the expected energy not‐supplied and the outage cost during natural disasters are considered resilience indicators. Next, a single‐level model for the proposed design is extracted from the Karush–Kuhn–Tucker (KKT) method. The basic requirement of this method is the convexity of the lower‐level constraints. For this purpose, first, a linear approximation model is obtained for the lower‐level constraints of the problem. Furthermore, stochastic optimization is adopted to model the uncertainty of load, renewable power, and network equipment availability during floods and earthquakes. Finally, the extracted numerical results confirm the capability of the proposed scheme in improving the operation and resilience of the mentioned networks using optimal generation and transmission planning.

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A piecewise probabilistic harmonic power flow approach in unbalanced residential distribution systems

Cited by 63 publications

References 34 publications

Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads

Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads

Energy management of distribution network with inverter‐based renewable virtual power plant considering voltage security index

Resilience‐oriented expansion planning of multi‐carrier microgrid utilizing bi‐level technique

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