Abstract

The introduction of an energy storage system plays a vital role in the integration of renewable energy by keeping a stable operation and enhancing the flexibility of the power flow system, especially for an islanding microgrid which is not tied to a grid and for a self-contained microgrid which tries to stay independent from a grid as much as possible. To accommodate the effects of power fluctuations of distributed energy resources and power loads on power systems, a power flow assignment under power balance constraint is essential. However, due to power limitations of power devices, the capacity of storage devices, and power flow connections, the power balance may not be achieved. In this paper, we proposed a system characterization which describes the relation among power generators, power loads, power storage devices, and connections that must be satisfied for a system to operate by keeping SOC limitations of power storage devices. When we consider one power generator, one power load, and one power storage device connected at a single node, the generated energy by the generator minus the consumed energy by the load from some start time will increase/decrease the state of charge (SOC) for the storage device; hence, keeping SOC max/min limitations relies on whether the difference between the generated energy and the consumed energy stays within a certain range or not, which can be computed from the capacity Ess and other parameters. Our contribution in this paper is an extension and generalization of this observation to a system that consists of multiple fluctuating power generators, multiple fluctuating power loads, multiple storage devices, and connections that may not be a full connection between all devices. By carefully enumerating the connection-dependent flow paths of generated energy along the flow direction from generators to storages and loads, and enumerating the connection-dependent flow paths of consumed energy along the counter-flow direction from loads to storages and generators, we have formulated the increase/decrease of SOCs of storage devices caused by the imbalance between generated energy and consumed energy. Finally, considering the max/min limitations of SOCs and fluctuations of power generators and power loads, the conditions that the power generators and the power loads must have for SOCs of storage devices to maintain individual max/min limitations have been derived. The system characterization provides guidelines for a power flow system that can continue safe operation in the presence of power fluctuations. That is, in order for a system to have a feasible power flow assignment, there are the issues of how large the capacity of a power storage device should be, how large/small the maximum/minimum power/demand levels of the power generators and the power loads should be, and how the connection should be configured. Several examples using our system characterization are demonstrated to show the possible applications of our results.

Highlights

  • To face the dynamic rise in power demand, the decrease of conventional power resources, and the necessity of reducing gas emissions, renewable energy resources have been promoted throughout the world [1,2]

  • One potential approach is the introduction of energy storage devices which can play a vital role in the integration of renewable energy sources by maintaining the continuous operation of a power system and enhancing the flexibility of the usage of power devices [8,9,10]

  • The goal of the proposed system characterization is to provide system guidelines for a power system to design a safe and reliable power system in the presence of power fluctuations. This particular paper can solve the issues of how large the capacity of the power storage device should be, how large/small the maximum/minimum power/demand levels of the power generators and the power loads should be, and how the connection should be configured for a power flow system, which are not addressed in existing studies

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Summary

Introduction

To face the dynamic rise in power demand, the decrease of conventional power resources, and the necessity of reducing gas emissions, renewable energy resources have been promoted throughout the world [1,2]. Approaches that have been proposed for power management for a micro-grid with storage systems and renewable generation In these approaches, an optimization problem is designed and solved over a rolling window for each time step. Capacity optimization approaches are discussed [15,16] to show minimum capacity based on the state of charge (SOC ) limitation These approaches consider the situation when ESS and controllable power loads coordinate with each other to reduce the burden of ESS capacity. In terms of a system having a feasible power flow assignment, the issues of how large the capacity of the power storage device should be, how large/small the maximum/minimum power/demand levels of the power generators and the power loads should be, and how the connection should be configured are the main contributions of this paper.

Related Works
System Characterization Problem
System Model
Power Flow Assignment and System Characterization Problem
Energy Conservation for Simple Power System: A Case Study
System Characterization with Given Power Levels for Fluctuating Power Devices
Main Theorem
Proof of the Theorem
Note on Treatment of Power Level Constraints
Demonstrations
Minimum Ess and Worst-Case Behavior
Estimation of Upper and Lower Power Bounds and Minimum Ess
Minimum Ess with Relation to Connections
Placement and Sizing of Energy Storage Device
Concluding Remarks
Full Text
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