Robust microgrid power flow using particle swarm optimization

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Abstract —The proliferation of distributed generators (DGs) has altered a distribution network from a passive system to an active one. Therefore, power flow originally developed for the passive distribution system needs to account for a DG unit, which can operate either in PV or PQ control mode. Nevertheless, modifications previously proposed can only handle a limited number of PV buses. This paper presents a new robust three-phase distribution power flow, which incorporates the particle swarm optimization method into a Forward-Backward type method to handle a radial system with high R/X and high number of PV buses. Simulation and experimental results have validated the robustness and suitability of the proposed method to operate in a real microgrid system. Keywords —Distributed Generation, PV Buses, Power Flow, Particle Swarm Optimization, Radial Distribution Systems.
K.L. Lian1, M. Syai’in 1, C. L. Liu 1, T. D. Huang 1, T. H. Chen 1, Y. R. Chang 2 , Y. D. Lee 2, Y. H.
Ho 2

1
National Taiwan University of Science and Technology, Taipei, Taiwan, ryanlian@.tw 2 The Institute of Nuclear Energy Research, Taoyuan County, Taiwan, raymond@.tw Kamh et al. [17] have used the SPF method to solve a microgrid system. The SPF can readily accommodate PV buses as long as the DG models in the sequencecomponent frame can be formulated. However, as shown in [18], SPF methods cannot handle very high resistanceto-reactance ratios (R/X). Garcia et al. [19] formulates a current injection based Newton-type method to solve for an active distribution system. They modeled the PV buses by introducing a new dependent variable (∆Q), together with an additional equation imposing the condition of zero bus voltage deviation. However the Newton-type methods are sensitive to the initial conditions, which may cause divergence. Luo et al. [20] modified the FB method to account for PV buses by breaking the terminal points of the PV buses. Then, to compensate for the breaking, proper power injections are assigned to both sides of a breakpoint. The iteration will stop when the voltage and reactive power mismatches are within the tolerance values. However, such a method becomes less efficient as the number of PV buses increases, which may not be suitable for a microgrid system, consisting of multiple numbers of DGs. Cheng et al. also used the FB method to model a PV bus. In order to obtain the scheduled voltage magnitude at a PV node, the amount of reactive current injection for each PV node needs to be iteratively found. However, since the formulation is based on linear compensation (LC) method, it would result in divergence if the number of PV buses becomes excessive [21]. In [11], the author reformulated the iteration procedure of [12] and changed it into a double-loop algorithm to iteratively solve for the amount of reactive power required by the PV bus. However, similar to the problem of [12], the method may also suffer from divergence if the number of PV buses becomes high. The objective of this paper is to propose a robust distribution power flow algorithm which can alleviate the problem of divergence due to high number of PV buses and high value of R/X in a microgrid system. The proposed method essentially extends the concept of [11], employing a double-loop algorithm to handle PV buses. However, instead of using the LC method for iteration, a metaheuristic approach is used to handle a PV bus. We proposed to use particle swarm optimization (PSO) [22] to modify a FB distribution power flow method to accommodate PV buses. There have been many variants of FB methods previously proposed. These methods include ZBR method [9], ladder iterative methods [6], and direct network topology (DNT) method [8]. Similar
XI International School on Nonsinusoidal Currents and compensation, ISNCC 2013, Zielona Gora, Poland
Robust Microgrid Power Flow using Particle Swarm Optimization
I.
INTRODUCTION
The trend for electric power generation has gradually shifted towards smaller and distributed generations, and the concept of a microgrid has been introduced in 2001 by Lasseter [1] to better realize the emerging potential of distribution generators (DGs). A microgrid is a small power system, connected to a part of a distribution feeder via a static switch, and integrates multiple distributed generators and local loads. This approach allows for local control of DG, thereby reducing or eliminating the need for central dispatch. Nevertheless, the presence of these DGs has alternated the distribution power flow from unidirectional to bidirectional. In addition, depending on the characteristics of the output power, DGs can be operated at constant power factor mode, constant voltage mode, and variable reactive power mode [2], [3]. DGs operated at constant power factor mode and constant voltage mode can be regarded as PQ and PV buses, respectively. DGs operated in the variable reactive power mode can be modeled as a PQ buses whose reactive powers are expressed as a function of real power [3]. For PQ buses, existing traditional three-phase distribution power flow are able to handle them easily by assigning them as negative PQ loads. However, to handle PV buses, modifications in some of the existing three-phase distribution power flow (DPF) are required. The existing DPF can be broadly classified into four categories, which are Bus Impedance methods [4], Newton-type methods [5], Forward-Backward method and its variants (FB methods) [6]-[12], and Sequential Power Flow (SPF) methods [13]-[17].