Statistics on Frequency Departure from 60 Hz in The Eastern Interconnection Priority-based Control Engineering (PCE) Tel: 614 799 0300 ---

Slides:



Advertisements
Similar presentations
Chapter 3 Graphic Methods for Describing Data. 2 Basic Terms  A frequency distribution for categorical data is a table that displays the possible categories.
Advertisements

2- 1 Chapter Two McGraw-Hill/Irwin © 2005 The McGraw-Hill Companies, Inc., All Rights Reserved.
Histogram CA/PA-RCA : Basic Tool Bob Ollerton
Introduction to Excel 2007 Part 2: Bar Graphs and Histograms February 5, 2008.
Histograms, Frequency Polygons and Ogives
Chapter 11 Data and Graphs (part 1). Day….. 1.Misleading GraphsMisleading Graphs 2.Frequency Tables and Tally ChartsFrequency Tables and Tally Charts.
12-2 Frequency and Histograms
Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 16 Mathematics of Normal Distributions 16.1Approximately Normal.
QMS 6351 Statistics and Research Methods Chapter 2 Descriptive Statistics: Tabular and Graphical Methods Prof. Vera Adamchik.
4-1 Collect & Interpret Data The Quality Improvement Model Use SPC to Maintain Current Process Collect & Interpret Data Select Measures Define Process.
Descriptive Statistics Summarizing qualitative data Summarizing quantitative data.
4-1 Collect & Interpret Data The Quality Improvement Model Use SPC to Maintain Current Process Collect & Interpret Data Select Measures Define Process.
Ka-fu Wong © 2003 Chap 2-1 Dr. Ka-fu Wong ECON1003 Analysis of Economic Data.
Business Statistics - QBM117 Least squares regression.
Scaffold Download free viewer:
Graphs show information we need. They can make it easy to read. There are many types of graphs. They include: Pictographs Bar Graphs Line Graphs.
8/10/2015Slide 1 The relationship between two quantitative variables is pictured with a scatterplot. The dependent variable is plotted on the vertical.
STATISTIC & INFORMATION THEORY (CSNB134) MODULE 2 NUMERICAL DATA REPRESENTATION.
Objective To understand measures of central tendency and use them to analyze data.
© 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
REPRESENTATION OF DATA.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 14.1, Slide 1 14 Descriptive Statistics What a Data Set Tells Us.
2- 1 Chapter Two McGraw-Hill/Irwin © 2006 The McGraw-Hill Companies, Inc., All Rights Reserved.
2- 1 Chapter Two McGraw-Hill/Irwin © 2005 The McGraw-Hill Companies, Inc., All Rights Reserved.
CHAPTER 2 Graphical Descriptions of Data. SECTION 2.1 Frequency Distributions.
COURSE: JUST 3900 INTRODUCTORY STATISTICS FOR CRIMINAL JUSTICE Instructor: Dr. John J. Kerbs, Associate Professor Joint Ph.D. in Social Work and Sociology.
Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 2 Section 1 – Slide 1 of 27 Chapter 2 Section 1 Organizing Qualitative Data.
Excursions in Modern Mathematics, 7e: Copyright © 2010 Pearson Education, Inc. 16 Mathematics of Normal Distributions 16.1Approximately Normal.
How many times a week are you late to school? Leslie Lariz Marisol Cipriano Period
Measures of central tendency are statistics that express the most typical or average scores in a distribution These measures are: The Mode The Median.
Copyright © 2014 Pearson Education. All rights reserved Picturing Distributions of Data LEARNING GOAL Be able to create and interpret basic.
Lecture PowerPoint Slides Basic Practice of Statistics 7 th Edition.
7.7 Statistics and Statistical Graphs. Learning Targets  Students should be able to… Use measures of central tendency and measures of dispersion to describe.
GOAL: DISPLAY DATA IN FREQUENCY DISTRIBUTIONS AND HISTOGRAMS Section 1-8: Frequency Distributions and Histograms.
Dr. Serhat Eren Other Uses for Bar Charts Bar charts are used to display data for different categories where the data are some kind of quantitative.
McGraw-Hill/ Irwin © The McGraw-Hill Companies, Inc., 2003 All Rights Reserved. 2-1 Chapter Two Describing Data: Frequency Distributions and Graphic Presentation.
Dr. Fowler AFM Unit 8-1 Organizing & Visualizing Data Organize data in a frequency table. Visualizing data in a bar chart, and stem and leaf display.
Worked examples and exercises are in the text STROUD PROGRAMME 27 STATISTICS.
Today’s Questions Once we have collected a large number of measurements, how can we summarize or describe those measurements most effectively by using.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
Chapter 2: Frequency Distributions. Frequency Distributions After collecting data, the first task for a researcher is to organize and simplify the data.
Math Reflections Looking at Data Organizing and Interpreting Data How are a table, a line plot and a bar graph alike?
1 Frequency Distributions. 2 After collecting data, the first task for a researcher is to organize and simplify the data so that it is possible to get.
Lesson 13-3 Histograms.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 14.1, Slide 1 14 Descriptive Statistics What a Data Set Tells Us.
Copyright © 2014 Pearson Education. All rights reserved Picturing Distributions of Data LEARNING GOAL Be able to create and interpret basic.
1V EPRI/SPP/Baylor Web Tutorial on Synchrophasor Data Analysis and Event Detection Mack Grady, Andrew Mattei, David Jonsson Baylor University Friday,
Learn to display and analyze data in histograms. Course Bar Graphs and Histograms.
What is ClassiFire ® ? ClassiFire is a patented Artificial Intelligence system used in the Stratos-HSSD ® range of Aspirating Smoke Detectors. ClassiFire.
Graphs Another good way to organize this data is with a Graph. Graph – a diagram that shows a relationship between two sets of numbers. So do we have two.
Displaying Data:  Dot Plots  Grouped Frequency Tables  Histograms Slide
Page 46 Sponge *** JUST WRITE THE INTERVALS YOU WOULD USE TO MAKE A FREQUENCY TABLE….DON’T MAKE TABLE 1) Number of cups of coffee drank in a week….. 5,
Edit the text with your own short phrase. The animation is already done for you; just copy and paste the slide into your existing presentation. Histograms.
Problems of the Day 1.Number of cars that exceeded the speed limit on Guangzhou avenue during the first 16 days of a October are listed below. Make a box-and-whisker.
BUS 308 Week 4 DQ 1 Simple Regression Analysis Use the data in the chart to answer the questions below. The data indicates the number of “sick days” appliance.
Figure 2-7 (p. 47) A bar graph showing the distribution of personality types in a sample of college students. Because personality type is a discrete variable.
Organizing Qualitative Data
Histograms, Frequency Polygons and Ogives
Unit 12: Statistics.
The facts or numbers that describe the results of an experiment.
Bar Graphs and Histograms
Sexual Activity and the Lifespan of Male Fruitflies
Calculating Averages with
Histograms.
Interpret Graphs.
The facts or numbers that describe the results of an experiment.
Interpret Graphs.
Bell Ringer I will be taking up this week’s homework today, So when you finish the Bell Ringer get that Ready { 12, 14, 10, 7, 13, 13, 16} Find the Range.
Bell Ringer I will be taking up this week’s homework today, So when you finish the Bell Ringer get that Ready { 12, 14, 10, 7, 13, 13, 16} Find the Range.
Histogram CA/PA-RCA : Basic Tool Bob Ollerton
Presentation transcript:

Statistics on Frequency Departure from 60 Hz in The Eastern Interconnection Priority-based Control Engineering (PCE) Tel: PCE Priority-based Control Engineering

PCE-2 Information Presented in the Bar- Charts The pictures displayed in section 1 show the number of times that frequency in the Eastern Interconnection in an average 365-day period in the studied interval remained higher or lower than 60 Hz by the indicated threshold for more than the number of minutes shown on the horizontal axis. See slides 4 and 5 for examples of reading the bar-charts. The pictures displayed in section 2 are created using the same method as those in section 1, except the fact that they only consider events where frequency was less than 60 Hz. Section 3 describes the data we used to create the bar-charts. Double-click on the charts to view the Excel file used to create that chart.

PCE-3 Section 1 (Frequency is Higher or Lower than 60 Hz)

PCE-4 Example 1. The height of the multi-colored bar at minute 0 indicates that the frequency was above or below 60 Hz for at least one 6-second sample by: 30 mHz in about 55,000 occasions, turquoise bar in slide mHz in about 3,000 occasions, yellow bar in slide mHz in about 1,450 occasions, purple bar in slide mHz in about 650 occasions, blue bar in slide 12.

Example 1.5. The height of the multi-colored bar at minute1 indicates that the frequency wasabove or below 60 Hz for at least10 consecutive 6-second samples, i.e.1 minute, by: 30mHz on about7000 occasions, turquoise bar in slide11  Once every 3 hours 50mHz on about325 occasions, yellow bar in slide12  Once every 3 days 55mHz on about140 occasions, purple bar in slide12  Once a week 60mHz on about55 occasions, blue bar in slide13  Twice a month 65mHz on about20 (?) occasions  Once a month. 70mHz on about7 (?) occasions  Once a season 75mHz on about2 (?) occasions  Once a year

Example2a. The height of the multi-colored bar at minute 5 indicates that the frequency wasbelow 60 Hz for at least 50 consecutive 6-second samples, i.e. 5 minutes, by: 30mHz on about250 occasions, turquoise bar in slide17  Once every 5 days 50mHz on about12 occasions, yellow bar in slide18  Once every 2 ½ months 55mHz on about5 occasions, purple bar in slide18  Once a season 60mHz on about2 occasions, blue bar in slide18  Once a year

PCE-8 Example 2. The height of the multi-colored bar at minute 5 indicates that the frequency was above or below 60 Hz for at least 50 consecutive 6-second samples, i.e. 5 minutes, by: 30 mHz in about 460 occasions, turquoise bar in slide mHz in about 20 occasions, yellow bar in slide mHz in about 8 occasions, purple bar in slide mHz in about 3 occasions, blue bar in slide 13.

Example2b. The height of the multi-colored bar at minute 5 indicates that the frequency wasabove 60 Hz for at least 50 consecutive 6-second samples, i.e. 5 minutes, by: 30mHz on about210 occasions  Once every 5 days 50mHz on about8 occasions  Once every 4 months 55mHz on about3 occasions  Once a year 60mHz on about1 occasion  Once every 2 ½ years

PCE-11

PCE-12

PCE-13

PCE-14 Logarithmic Scale

PCE-15 Section 2 (Frequency is Lower than 60 Hz)

PCE-16 Negative Events Only

PCE-17 Negative Events Only

PCE-18 Negative Events Only

PCE-19 Negative Events Only Logarithmic Scale

PCE-20 Section 3

PCE-21 Frequency Data Frequency source was NB 6-second frequency data, provided by Elmer Bourque, covering 2002, 2003, and more than 10 months of Excludes 5/11/2002, 5/12/2002, 5/13/2002, 8/14/2003, and 8/15/2003, and a few short periods. In these periods –data was not reliable –data failed a reasonability check –operation was not typical (due to situations such as islanding) Values are normalized to find the expected values for a 365-day year.