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Full-Text Articles in Electrical and Computer Engineering

Optimization Of Human Interactions In The College Campus Model Via Simio Integration, Benjamin E. Chaback Apr 2024

Optimization Of Human Interactions In The College Campus Model Via Simio Integration, Benjamin E. Chaback

Doctoral Dissertations and Master's Theses

College campuses are a significant part of life in some cities. Many students each year attend university, pursuing additional knowledge from faculty members. Both staff and faculty members rely on these students to have successful jobs and to ensure the university functions. Yet recently, more and more students are attending, leading to overcrowding, lower admission rates, and difficulty getting into good programs. Previous work exists on qualitative student affairs and quantitative retention data, yet little on using simulations to model this problem. This work aimed to (a) Determine the ability to successfully model human interactions/people flow on a college campus, …


Improved Vehicle-Bridge Interaction Modeling And Automation Of Bridge System Identification Techniques, Omar Abuodeh Aug 2023

Improved Vehicle-Bridge Interaction Modeling And Automation Of Bridge System Identification Techniques, Omar Abuodeh

All Dissertations

The Federal Highway Administration (FHWA) recognizes the necessity for cost-effective and practical system identification (SI) techniques within structural health monitoring (SHM) frameworks for asset management applications. Indirect health monitoring (IHM), a promising SHM approach, utilizes accelerometer-equipped vehicles to measure bridge modal properties (e.g., natural frequencies, damping ratios, mode shapes) through bridge vibration data to assess the bridge's condition. However, engineers and researchers often encounter noise from road roughness, environmental factors, and vehicular components in collected vehicle signals. This noise contaminates the vehicle signal with spurious modes corresponding to stochastic frequencies, impacting damage monitoring assessments. Thus, an efficient and reliable SI …


Virtual Prototyping Of Pebb Based Power Electronics System For Ground Vehicles, Yi Li Aug 2023

Virtual Prototyping Of Pebb Based Power Electronics System For Ground Vehicles, Yi Li

All Theses

Power electronics are heavily involved in power and energy systems in plenty of applications nowadays. The increase of demand brings more challenges into simulations for development. Considering the complexity of the systems and high frequency operational conditions, this paper presents comprehensive research on modeling, simulating, and validation on ground vehicle propulsion system applications.

To reduce the computational burden, the Power Electronics Building Blocks concept is utilized to simplify the structure of modeling under different conversion scenarios in ground vehicle systems. In addition, the Average and Switching versions models are included. To speedup the simulation, the engagement of advanced computing technique …


A Cohesive Simulation And Testing Platform For Civil Autonomous Aerial Sensing And Operations, Stockton G. Slack Aug 2023

A Cohesive Simulation And Testing Platform For Civil Autonomous Aerial Sensing And Operations, Stockton G. Slack

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Drones (also known as sUAS or small Uncrewed Aerial Systems) are often flown with cameras to take images of an area of land. These images can then be used to create a map by stitching these images together. This map can then be analyzed using scientific principles to learn things about the land and make decisions or take action based on the information.

The scientific application of drones is very advantageous, but flying a drone is inherently dangerous, impacting the safety of the airspace (particularly in the event of a crash), and drones are more dangerous the bigger they are. …


Topological Interpolation Method For Modeling Dynamic Systems, Isamiddin Xakimovich Siddikov, Dilnoza Maxamadjanovna Umurzakova Jun 2023

Topological Interpolation Method For Modeling Dynamic Systems, Isamiddin Xakimovich Siddikov, Dilnoza Maxamadjanovna Umurzakova

Chemical Technology, Control and Management

The method of simulation structural-complex continuous-discrete control systems is discussed. For simulation and calculation of dynamic processes in continuous-discrete systems topological interpolation method is proposed, based on application of hybrid methods of space of state variables and interpolation of signals. The essence of the method is that the dynamics of the investigated system, considered at the final interval, is broken down into subintervals, on each of which the processes are described by linear ordinary system differential equations. The computational efficiency of the proposed method was evaluated by comparison with standard methods such as the Runge-Kutta-Merson method. The use of this …


Formation Control Of Multiple Quadrotors, Miguel Alejandro Garcia May 2023

Formation Control Of Multiple Quadrotors, Miguel Alejandro Garcia

Theses and Dissertations

This thesis studies formation control of multiple quadrotors under different conditions. Two controller design approaches are proposed. In the first approach, it is assumed that the dynamics of each quadrotor is unknown and there is disturbance. With the aid of distributed estimation and the universal approximation property of neural networks, distributed tracking controllers are proposed. Simulation shows the effectiveness of the proposed controllers. In the second approach, it is assumed that the inertia parameters are unknown. With the aid of distributed estimation, online data estimation, and optimal control theory, distributed sub-optimal tracking controllers are proposed. Simulation results show the effectiveness …


Procedural City Generation With Combined Architectures For Real-Time Visualization, Griffin Poyck May 2023

Procedural City Generation With Combined Architectures For Real-Time Visualization, Griffin Poyck

All Theses

The work and research of this paper sought to build upon traditional city generation and simulation in creating a tool that both realistically simulates cities and their prominent features and also creates aesthetic and artistically rich cities using assets that combine several contemporary or near contemporary architectural styles. The major city features simulated are the surrounding terrain, road networks, individual buildings, and building placement. The tools used to both create and integrate these features were created in Houdini with Unreal Engine 5 as the intended final destination. This research was influenced by the city, town, and road networking of Ghost …


Modeling, Simulation And Control Of Microrobots For The Microfactory., Zhong Yang May 2023

Modeling, Simulation And Control Of Microrobots For The Microfactory., Zhong Yang

Electronic Theses and Dissertations

Future assembly technologies will involve higher levels of automation in order to satisfy increased microscale or nanoscale precision requirements. Traditionally, assembly using a top-down robotic approach has been well-studied and applied to the microelectronics and MEMS industries, but less so in nanotechnology. With the boom of nanotechnology since the 1990s, newly designed products with new materials, coatings, and nanoparticles are gradually entering everyone’s lives, while the industry has grown into a billion-dollar volume worldwide. Traditionally, nanotechnology products are assembled using bottom-up methods, such as self-assembly, rather than top-down robotic assembly. This is due to considerations of volume handling of large …


Quantized State Simulation Of Electrical Power Systems, Joseph Micah Hood Apr 2023

Quantized State Simulation Of Electrical Power Systems, Joseph Micah Hood

Theses and Dissertations

An alternative is proposed to the current state-of-the-art simulation methods for the transient simulation of electrical power systems. The proposed method combines the Latency Insertion Method (LIM), the Quantized Discrete Event Specification (QDEVS), and the Quantized State System (QSS) method of integration. Using LIM, the power system state equations are decoupled in a way that allows the formulation of the system into a QDEVS-compliant model, which can then be directly solved with various QSS integration techniques. This combination of methods is called the Quantized DEVS-LIM method, or simply, QDL. A key feature of QDL is the asynchronous updates of all …


Application Of Tvs Models For Seed Simulation Of A Variety Of Tvs Devices, Li Shen, Yang Xu, Steffen Holland, Sergej Bub, David Pommerenke, Daryl G. Beetner Jan 2023

Application Of Tvs Models For Seed Simulation Of A Variety Of Tvs Devices, Li Shen, Yang Xu, Steffen Holland, Sergej Bub, David Pommerenke, Daryl G. Beetner

Electrical and Computer Engineering Faculty Research & Creative Works

Accurate Models of Transient Voltage Suppression (TVS) Devices Are Important for Determining the Suitability of Electrostatic Discharge (ESD) Protection Strategies Early in the Design Process. an Improved TVS Model is Used in the Following Paper to Represent a Variety of TVS Devices, Including a Snapback Device, Non-Snapback Device, and a Varistor. the Models Include Recent Improvements to Represent Conductivity Modulation and the overall Shape of the TVS Device's Transient Response. the Models Are Tuned based on Characterizations of These Protection Devices using a Transmission Line Pulse (TLP) and Are Then Used in a System Efficient ESD Design (SEED) Simulation to …


Long-Range Aceo Phenomena In Microfluidic Channel, Diganta Dutta, Keifer Smith, Xavier Palmer Jan 2023

Long-Range Aceo Phenomena In Microfluidic Channel, Diganta Dutta, Keifer Smith, Xavier Palmer

Electrical & Computer Engineering Faculty Publications

Microfluidic devices are increasingly utilized in numerous industries, including that of medicine, for their abilities to pump and mix fluid at a microscale. Within these devices, microchannels paired with microelectrodes enable the mixing and transportation of ionized fluid. The ionization process charges the microchannel and manipulates the fluid with an electric field. Although complex in operation at the microscale, microchannels within microfluidic devices are easy to produce and economical. This paper uses simulations to convey helpful insights into the analysis of electrokinetic microfluidic device phenomena. The simulations in this paper use the Navier–Stokes and Poisson Nernst–Planck equations solved using COMSOL …


Modeling Of Quad-Station Module Cluster Tools Using Petri Nets, Aung Nay Dec 2022

Modeling Of Quad-Station Module Cluster Tools Using Petri Nets, Aung Nay

Theses

The semiconductor industry is highly competitive, and with the recent chip shortage, the throughput of wafers has become more important than ever. One of the tools that the industry has deployed is to use of quad-station modules instead of the traditional single-station modules that allow for higher throughput and better wafer consistency by processing multiple wafers at the same time and distributing work. The industry trend is to use multiple transfer chamber robots to stack the quad-station modules in a series, particularly for etch products. In this work, the quad-station cluster tool wafer movement is modeled by using Petri net …


Closed Form Implicitly Integrated Models For Computationally Efficient Simulation Of Power Electronics, Andrew Wunderlich Oct 2022

Closed Form Implicitly Integrated Models For Computationally Efficient Simulation Of Power Electronics, Andrew Wunderlich

Theses and Dissertations

This work describes novel closed-form, implicitly integrated (CF-implicit) models of switched-mode power converters which feature implicit integration but require no iterative numerical solving algorithm for evaluation because they are explicitly solved prior to model execution. The derived models capture the large-signal dynamic behavior of the power converters, so their use and accuracy are not limited to any one set of operating conditions. These models can be implemented in any computational environment, including directly on an existing embedded controller as a digital twin. Since no iterative solver is required, the models are highly computationally efficient and have a very predictable worst-case …


Designing Harvesting And Hauling Cost Models For Energy Cane Production For Biorefineries, Prabodh Illukpitiya, Firuz Yuldashev, Kabirat Nasiru Jul 2022

Designing Harvesting And Hauling Cost Models For Energy Cane Production For Biorefineries, Prabodh Illukpitiya, Firuz Yuldashev, Kabirat Nasiru

Agricultural and Environmental Sciences Faculty Research

The harvesting and hauling operations of bioenergy feedstock is an important area in biofuel production. Production costs can be minimized by maintaining optimal machinery units for these operations. The objective of this study is to design an optimal harvesting unit for bioenergy refinery and estimate harvesting and hauling costs of energy cane. A biorefinery with the annual capacity of processing twenty-five million imp. gallons of ethanol were considered. Given the efficiency of harvesting, a two-row soldier system was considered. Considering the year-round supply of energy cane to the refinery, the optimal machinery unit was designed, and the combined operation costs …


Optimizing Speed Profiles For Sustainable Train Operation With Wayside Energy Storage Systems, Leon A. Allen May 2022

Optimizing Speed Profiles For Sustainable Train Operation With Wayside Energy Storage Systems, Leon A. Allen

Dissertations

Large hauling capability and low rolling resistance has put rail transit at the forefront of mass transportation mode sustainability in terms of congestion mitigation and energy conservation. As such, rail vehicles are one of the least energy-intensive modes of transportation and least environmentally polluting. Despite, these positives, improper driving habits and wastage of the braking energy through dissipation in braking resistors result in unnecessary consumption, extra costs to the operator and increased atmospheric greenhouse gas emissions.

This study presents an intelligent method for the optimization of the number and locations of wayside energy storage system (WESS) units that maximize the …


Cellular Service With Settlement-Free Peering, Shahzeb Mustafa, Sayanta Seth, Murat Yuksel, Mostafizur Rahman Jan 2022

Cellular Service With Settlement-Free Peering, Shahzeb Mustafa, Sayanta Seth, Murat Yuksel, Mostafizur Rahman

Electrical and Computer Engineering Faculty Publications and Presentations

Despite several iconic innovations in wireless networks, cellular service still remains largely unreliable with regards to non-urban network coverage. Cellular providers often need to make roaming agreements among each other for serving their customers with basic connectivity in areas where they do not have coverage. Considering all the technical limitations of domestic roaming, we present a “wireless peering” model for settlement-free spectrum sharing. It allows providers to extend their coverage to “off-network” regions without any hardware modifications. Its software-defined nature makes the model highly scalable, easy to deploy and cost-effective. Simulation results show a significant improvement in off-network wireless speed, …


Parametric Average-Value Modeling, Simulation, And Characterization Of Machine-Rectifier Systems, Isuje Ojo Jan 2022

Parametric Average-Value Modeling, Simulation, And Characterization Of Machine-Rectifier Systems, Isuje Ojo

Theses and Dissertations--Electrical and Computer Engineering

There are many techniques for modeling and simulation of synchronous machine-rectifier systems. The more common approaches are the detailed and average-value modeling techniques. The detailed simulation technique takes into account the details of the diode switching and is both very accurate and very expensive in terms of computational resources. To alleviate this disadvantage, the average-value modeling technique is often utilized. In this approach, the details of diode switching are neglected or averaged. In that light, the work presented herein proposes a unique saliency-sensitive parametric average-value model (SSPAVM) of the synchronous machine-rectifier system. This model extends existing parametric average-value models to …


Vanet Broadcast Protocol: A Multi-Hop Routing Framework For Vehicular Networks In Ns-3, William M. Bjorndahl Jan 2022

Vanet Broadcast Protocol: A Multi-Hop Routing Framework For Vehicular Networks In Ns-3, William M. Bjorndahl

LMU/LLS Theses and Dissertations

Vehicles are more frequently being built with hardware that supports wireless communica- tion capabilities. Dedicated short-range communications (DSRC) is a standard that enables the hardware on vehicles to communicate with one another directly rather than through external infrastructure such as a cellular tower. With DSRC supporting small-range communications, multi-hop routing is utilized when a packet needs to reach a long-range destination. A vehicular ad-hoc network (VANET) broadcast protocol (VBP) was developed. This thesis introduces VBP, an open-source framework for simulating multi-hop routing on mobile and wireless vehicular networks. VBP is built for the routing layer of the network simulation tool …


Performance Of Sensor Fusion For Vehicular Applications, Nikola Janevski Jan 2022

Performance Of Sensor Fusion For Vehicular Applications, Nikola Janevski

Graduate Theses, Dissertations, and Problem Reports

Sensor fusion is a key system in Advanced Driver Assistance Systems, ADAS. The perfor-
mance of the sensor fusion depends on many factors such as the sensors used, the kinematic
model used in the Extended Kalman Filter, EKF, the motion of the vehicles, the type of
road, the density of vehicles, and the gating methods. The interactions between parameters
and the extent to which individual parameters contribute to the overall accuracy of a sensor
fusion system can be difficult to assess.
In this study, a full-factorial experimental evaluation of a sensor fusion system based
on a real vehicle was performed. …


Comparative Study Of Nano-Rod And Nano-Sphere Based Localized Surface Plasmon Resonance Refractive Index Biosensors, Mariam M. Moussilli M. M. Moussilli, Abdul Rahman El Falou Jun 2021

Comparative Study Of Nano-Rod And Nano-Sphere Based Localized Surface Plasmon Resonance Refractive Index Biosensors, Mariam M. Moussilli M. M. Moussilli, Abdul Rahman El Falou

BAU Journal - Science and Technology

Localized Surface Plasmon Resonance (LSPR) waves generated by the interaction of light with noble metal nanoparticles has been of great interest in recent years due to the high sensitivity of the extinction spectra of these nanoparticles to the medium's surrounding refractive index up to the atomic level.

In this article, we simulate the extinction spectra of noble metal sphere and rod nanoparticles in order to study the effect of the geometrical shape and size of the nanoparticle on the sensitivity and detection accuracy performance parameters of the extinction spectra. We also simulated the response of the sphere and rod nanoparticle's …


The Matrix Revisited: A Critical Assessment Of Virtual Reality Technologies For Modeling, Simulation, And Training, George Demetrius Lecakes Jun 2021

The Matrix Revisited: A Critical Assessment Of Virtual Reality Technologies For Modeling, Simulation, And Training, George Demetrius Lecakes

Theses and Dissertations

A convergence of affordable hardware, current events, and decades of research have advanced virtual reality (VR) from the research lab into the commercial marketplace. Since its inception in the 1960s, and over the next three decades, the technology was portrayed as a rarely used, high-end novelty for special applications. Despite the high cost, applications have expanded into defense, education, manufacturing, and medicine. The promise of VR for entertainment arose in the early 1990's and by 2016 several consumer VR platforms were released. With VR now accessible in the home and the isolationist lifestyle adopted due to the COVID-19 global pandemic, …


Ultra-High-Energy Neutrino Detection Antenna Simulations, Nicholas C. Garcia Jun 2021

Ultra-High-Energy Neutrino Detection Antenna Simulations, Nicholas C. Garcia

Electrical Engineering

Neutrinos allow researchers to investigate high-energy galactic phenomena, such as supernovae and black holes. Neutrinos interact with their surroundings via the weak nuclear force and therefore, travel unattenuated through space and are not deflected by electromagnetic fields. However, they do rarely interact with other particles. When neutrinos interact with nucleons (protons or neutrons) in a dielectric medium (i.e.: ice sheets), they are detectable through a cone of coherent electromagnetic radiation (Askaryan Radiation) created by the particle shower generated from the neutrino interaction [1]. The Radio Neutrino Observatory in Greenland (RNO-G) detects UHE neutrinos greater than 100 PeV (1015 eV) …


The Wargaming Commodity Course Of Action Automated Analysis Method, William T. Deberry Mar 2021

The Wargaming Commodity Course Of Action Automated Analysis Method, William T. Deberry

Theses and Dissertations

This research presents the Wargaming Commodity Course of Action Automated Analysis Method (WCCAAM), a novel approach to assist wargame commanders in developing and analyzing courses of action (COAs) through semi-automation of the Military Decision Making Process (MDMP). MDMP is a seven-step iterative method that commanders and mission partners follow to build an operational course of action to achieve strategic objectives. MDMP requires time, resources, and coordination – all competing items the commander weighs to make the optimal decision. WCCAAM receives the MDMP's Mission Analysis phase as input, converts the wargame into a directed graph, processes a multi-commodity flow algorithm on …


Assessment Of Cable Length Limit For Effective Protection By Z-Source Circuit Breakers In Dc Power Networks, Ruiyun Fu, Sagar Bhatta, Joseph M. Keller, Yucheng Zhang Jan 2021

Assessment Of Cable Length Limit For Effective Protection By Z-Source Circuit Breakers In Dc Power Networks, Ruiyun Fu, Sagar Bhatta, Joseph M. Keller, Yucheng Zhang

Electrical & Computer Engineering Faculty Publications

This paper introduces groundbreaking research on how to assess the Cable Length Limit (CLL) to ensure effective protection by Z-source Circuit Breakers (ZCBs) in DC power networks. It has been revealed that the line parameters of power cables have a significant impact on the cutoff performance of ZCBs. The question of assessing the CLL has been raised as an unsolved problem. In this paper, a method of CLL assessment is proposed based on physical models and simulation tests. To verify the proposed method, two studies were performed to assess the Cable Length Limits depending on fault levels and power delivery …


Pore Microstructure Impacts On Lithium Ion Transport And Rate Capability Of Thick Sintered Electrodes, Ziyang Nie, Rohan Parai, Chen Cai, Charles Michaelis, Jacob M. Lamanna, Daniel S. Hussey, David L. Jacobson, Dipankar Ghosh, Gary M. Koenig Jr. Jan 2021

Pore Microstructure Impacts On Lithium Ion Transport And Rate Capability Of Thick Sintered Electrodes, Ziyang Nie, Rohan Parai, Chen Cai, Charles Michaelis, Jacob M. Lamanna, Daniel S. Hussey, David L. Jacobson, Dipankar Ghosh, Gary M. Koenig Jr.

Mechanical & Aerospace Engineering Faculty Publications

Increasing electrode thickness is one route to improve the energy density of lithium-ion battery cells. However, restricted Li+ transport in the electrolyte phase through the porous microstructure of thick electrodes limits the ability to achieve high current densities and rates of charge/discharge with these high energy cells. In this work, processing routes to mitigate transport restrictions were pursued. The electrodes used were comprised of only active material sintered together into a porous pellet. For one of the electrodes, comparisons were done between using ice-templating to provide directional porosity and using sacrificial particles during processing to match the geometric density …


Passive Control Strategies For Cooling A Non-Residential Nearly Zero Energy Office: Simulated Comfort Resilience Now And In The Future, Adam O'Donovan, Michael D. Murphy, Paul D. O'Sullivan Nov 2020

Passive Control Strategies For Cooling A Non-Residential Nearly Zero Energy Office: Simulated Comfort Resilience Now And In The Future, Adam O'Donovan, Michael D. Murphy, Paul D. O'Sullivan

Publications

The average global cooling demand in non-residential buildings is expected to increase by over 275% between now and 2050. Controlled passive cooling is fundamental to successful operational performance of buildings and in mitigating energy that would otherwise be consumed by mechanical systems. The aim of this study was to determine the resilience of different passive cooling control strategies in delivering optimal comfort and energy scenarios in both current and future extreme conditions, for low energy indoor office spaces. Simulations were conducted using a calibrated TRNSYS 17 model of a nearly zero energy building. The performance of ten passive cooling control …


Developing A Substation Design Curriculum For Electronics Engineering Technology, Filipe Santos Araujo, Erik A. Mayer Oct 2020

Developing A Substation Design Curriculum For Electronics Engineering Technology, Filipe Santos Araujo, Erik A. Mayer

ASEE North Midwest Section Annual Conference 2020 Publications

Background: The latest technologies have created an increasing demand for the generation, transmission, and distribution of electricity. Substations are a crucial segment of our power grid. Substations are used to step-up voltages for the long-distance transmission of energy and to stepdown voltages for industrial and residential use. The demand for substation design curriculum was discussed at a meeting of the Industrial Advisory Committee (IAC) for EET. Members of the IAC consisted of professionals from Black & Veatch and other companies that work with power systems such as substations and switchgear. The curriculum was developed in close cooperation with Black & …


A Comparison Of Platform Configurations For Robotics Development Within Ros2, Raspberry Pi, Andwebots, Katherine Gisi, Diane T. Rover, Phillip H. Jones Iii Oct 2020

A Comparison Of Platform Configurations For Robotics Development Within Ros2, Raspberry Pi, Andwebots, Katherine Gisi, Diane T. Rover, Phillip H. Jones Iii

ASEE North Midwest Section Annual Conference 2020 Publications

Background: The field of robotics continues to expand with new, progressive technologies. The vast ecosystem of robotics, with its countless routes, is initially challenging to navigate. It is even more so during a season of virtual instruction. Creating strategic entrance points for the incoming students merits consideration. Purpose: Our aim is to provide a way for students to explore three critical areas in robotics: the physical robot (hardware), the simulated robot (digital twin), and the operating system and code (controller).
Method: We explore options for integrating two advanced robot development frameworks (i.e. Robot Operating System 2 (ROS2) and Webots) in …


Structural – Parametric Analysis And Synthesis Of Glass Furnace Condition Observer, Utkir Uktam O‘G‘Li Kholmanov Aug 2020

Structural – Parametric Analysis And Synthesis Of Glass Furnace Condition Observer, Utkir Uktam O‘G‘Li Kholmanov

Chemical Technology, Control and Management

A modified Kalman filter of the glass cooking process is synthesized, taking into account perturbations in the form of a sequence of colored noises. The possibility of expanding this filter by noise filters to improve functioning in the presence of low-frequency disturbances is studied and a corresponding estimation scheme with additional noise filters is proposed. The results of the simulation allow us to assume that low-frequency disturbances in the glass furnace act at the input and affect the state of the control object.


An Aggregated And Equivalent Home Model For Power System Studies With Examples Of Building Insulation And Hvac Control Improvements, Huangjie Gong, Evan S. Jones, Dan M. Ionel Aug 2020

An Aggregated And Equivalent Home Model For Power System Studies With Examples Of Building Insulation And Hvac Control Improvements, Huangjie Gong, Evan S. Jones, Dan M. Ionel

Power and Energy Institute of Kentucky Faculty Publications

Introducing new technologies into existing residences provides opportunities for the utility to enhance a community's power system performance. To validate the benefits of such technologies, an energy model is required in which their integration with a community's power system may be simulated. It can be difficult or impossible to properly model a power system without sufficient sample data. This paper proposes a method that uses Gaussian kernel density estimation (GKDE) to calculate the aggregated net power flow of a community's distribution system with only limited sample points at each time step. Example case studies that confirm the usefulness of the …