Electrical And Electronic Engineering, Lab Reports of Electrical Circuit Analysis

Download Electrical And Electronic Engineering and more Lab Reports Electrical Circuit Analysis in PDF only on Docsity! NORTH SOUTH UNIVERSITY DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING EEE141L/ETE141L Updated By: Maria Moosa Lab 6: Delta-Wye Conversion Objectives: 1. To perform Delta-Wye Conversion 2. To verify the results with measured data. 3. Solve a complex circuit using Delta-Wye Conversion. The Delta-Wye transformation is an extra technique for transforming certain resistor combinations that cannot be handled by the series and parallel equations. This is also referred to as a Pi - T transformation Sometimes when you are simplifying a resistor network, you get stuck. Some resistor networks cannot be simplified using the usual series and parallel combinations. This situation can often be handled by trying ∆ − transformation, or 'Delta-Wye' transformation. The names Delta and Wye come from the shape of the schematics, which resemble letters. The transformation allows you to replace three resistors in a Δ configuration by three resistors in a Y configuration, and the other way around. The ∆ − drawing style emphasizes these are 3-terminal configurations. Something to notice is the different number of nodes in the two configurations. Δ has three nodes, while Y has four nodes (one extra in the center). The configurations can be redrawn to square up the resistors. This is called π−T configuration, NORTH SOUTH UNIVERSITY DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING EEE41L/ETE141L Updated By: Maria Moosa The π−T style is a more conventional drawing you would find in a typical schematic. The transformation equations developed next apply to π−T as well. NORTH SOUTH UNIVERSITY DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING EEE41L/ETE141L Updated By: Maria Moosa List of Equipment  Trainer Board  DMM  5 x 15kΩ resistor  3 x 5 kΩ resistor Procedure 1. Measure the resistor values with DMM and note down in Table 1. 2. Setup the circuit as shown in the circuit 1 3. Measure the voltage , , (D is the reference node) and note down in Table 2 4. Measure the voltage , , and note down in Table 2 5. Setup Circuit 2. 6. Measure the voltage , , (D is the reference node) and note down in Table 2 7. Measure the voltage , , and note down in Table 2 Data Collection for Lab 5: Group No. ________ Instructor’s Signature __________ Table 1: Theoretical R Measured R % Error 15k 5k Table 2: Readings Circuit 1 Circuit 2 % Error NORTH SOUTH UNIVERSITY DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING EEE41L/ETE141L Updated By: Maria Moosa Report: 1. The resistors in Circuit 1 are in series or in parallel combination? 2. What technique would you use to find the equivalent resistance? 3. Perform Delta-Wye conversion for ∆ ( ) of circuit 1. Show all your steps to find the equivalent resistance R1, R2, R3 from Ra, Rb, Rc. 1. Redraw the equivalent the circuit after applying the Delta-Wye conversion for ∆. Is it same as circuit 2? 2. Calculate Req. 3. Calculate the voltage of R1, R2, R3. 4. Calculate , , and , , . Do your calculated values match the measured values for circuit 2? Find the % Error. 5. Using Table 2, analyze whether Circuit 2 is equivalent to Circuit 1? Was Delta-Wye conversion successful?