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ELECTRONIC INSTRUMENTATION EKT 314/4 WEEK 2 : CHAPTER 1 INTRODUCTION TO EI Chapter 1 Contents Definition Measurement Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Week 1 Review: Direct Analysis Absolute Error Percentage of Error Relative Accuracy Percentage of Accuracy Week 1 Review: Direct Analysis Absolute Error e Yn X n Percentage of Error Relative Accuracy Percentage of Accuracy Week 1 Review: Direct Analysis Absolute Error Percentage of Error Yn X n e % E x100 x100 Yn Yn Relative Accuracy Percentage of Accuracy Week 1 Review: Direct Analysis Absolute Error Percentage of Error Relative Accuracy Yn X n e A 1 1 Yn Yn Percentage of Accuracy Week 1 Review: Direct Analysis Absolute Error Percentage of Error Relative Accuracy Percentage of Accuracy Yn Xn e a Ax100 1 x100 1 x100 Yn Yn Week 1 Review: Statistical Analysis Arithmetic Mean n x x n 1 n n Deviation from Mean Average Deviation Standard Deviation Week 1 Review: Statistical Analysis Arithmetic Mean Deviation from Mean d n xn x Average Deviation Standard Deviation Week 1 Review: Statistical Analysis Arithmetic Mean Deviation from Mean Average Deviation Dav d n n Standard Deviation Week 1 Review: Statistical Analysis Arithmetic Mean Deviation from Mean Average Deviation Standard Deviation 2 d n n Week 1 Review Assignment Discussion and Cross Check Chapter 1 Contents Definition Measurement Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Session Contents Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Session Contents Source of Error Gross Systematic Random Classification of Instrument Operation Mode Instrument Elements Application Area Source of Error Errors in measurement can be broadly defined in three categories: Gross errors Systematic errors Random errors Gross Errors Because of the human mistakes. Improper or incorrect installation or use of measurement instrument. Failure to eliminate parallax during reading or recording the measurement. Cannot be remedied mathematically. Systematic Errors Because of the instrument. Three types of systematic errors: Instrumental errors Environmental errors Observational errors Produce constant uniform deviation. Random Errors Occur when different results in magnitude or sign obtained on repeated measurement of one or the same quantity. The effect can be minimized by taking the measurement many times. This error can be handled mathematically. Statistical Analysis (Repeat) n x x n 1 n n Arithmetic Mean xn is nth data taken and n is the total of data or measurement. Statistical Analysis (Repeat) d n xn x Deviation from mean dn is the deviation of the nth data with the arithmetic mean. Statistical Analysis (Repeat) Dav d n n Average deviations Indicate the precision of the instrument used, lower value of average deviation specify a highly precise instruments. Statistical Analysis (Repeat) d 2 n n Standard deviation Small value of standard deviation means that the measurement is improved. Session Contents Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Classification of Instrument Absolute Secondary Provide magnitude of the Provide magnitude of the quantity under measurement in terms of physical constant of the instrument. quantity under measurement only from the observation of the output from instrument. Most instrument used in practice are secondary. Session Contents Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Operation Mode Grouped by Operation Type Deflection Null Grouped by Signal Type Digital Analog Operation Mode: Operation Type deflection null Only one source of input Require two input – required. Output reading is based on the deflection from the initial condition of the instrument. The measured value of the quantity depends on the calibration of the instrument. measurand and balance input. Must have feedback operation that compare the measurand with standard value. More accurate and sensitive compared to deflection type instrument. Operation Mode: Signal Type Analog digital Produce the signal that Produce the signal that vary in continuous way. Infinite range of value in any given range. vary in discrete steps. Finite different values in a given range. Session Contents Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Instrument Elements Instruments Elements Model Block Diagram Subsystems Instrument Elements Instruments Elements Model Block Diagram Subsystems Model Model Important element is sensor which can convert the physical variable into signal variable. Model Model • Signal variable can be displayed, recorded or integrated into secondary instrument system. Model Model • Signal variable may also be used as an input signal of a control system. Instrument Elements Instruments Elements Model Block Diagram Subsystems Block Diagram Block Diagram (Simplified) Subsystems Transducers Subsystems Power Supply Subsystems Signal Conditioning Circuits Subsystems Filter / Amplifier Subsystems Data Processors Process Controllers Command Generator Subsystems Recorder Elements of Electronic Instrumentation Transducers Device that converts a change in physical quantity into a change of electrical signal magnitude. Power Supply Provide energy to drive the transducers. Signal Conditioning Circuits Electronic circuits that manipulate, convert the output from transducers into more usable electrical signal. Elements of Electronic Instrumentation (cont.) Amplifiers Amplify low voltage signal from transducers or signal conditional circuit. Recorders Used to display the measurement for easy reading and interpretation. Data Processors Can be a microprocessor or microcontroller. Elements of Electronic Instrumentation (cont.) Process Controllers Used to monitor and adjust any quantity of the specified level or value. Command Generator Provide control voltage that represents the difference of the parameter in a given process. Session Contents Source of Error Classification of Instrument Operation Mode Instrument Elements Application Area Application Area: Engineering Analysis Engineering Analysis Process Control Monitoring Automation Application Area: Engineering Analysis Engineering Analysis To validate new design of structure, component or system by theoritical and experimental approach Application Area: Process Control Process Control Monitoring process: provide real-time data that allow operator to respond. Automatic process: provide real-time feedback data to the control system. ELECTRONIC INSTRUMENTATION EKT 314/4 WEEK 2 : CHAPTER 1 END