Faculty of Engineering, Architecture and Science Department of Electrical and Computer Engineering LAB INSTRUCTIONS EES 612 – ELECTRICAL MACHINES AND ACTUATORS EXPERIMENT # 2: SINGLE-PHASE TRANSFORMER 2.1 Introduction A standard transformer consists of two coils wound on a common (laminated) iron core. The coils are insulated electrically but linked magnetically by the core flux. The coil that is connected to the source is called the primary, while the coil connected to the load is called the secondary. For the ideal transformer, the induced voltage in each turn (of either the primary or secondary) has the same value, and as a result, the voltage ratio is the same as the turns ratio. In addition, the ideal transformer does not consume any power, and consequently, the currents ratio is the same as the inverse turn ratio. Transformers find many applications in electrical distribution. In transporting power over long distances (from an electric-power generating station to a distant city, for example) transformers are used at the generating station to step up the voltage for transmission, and as a result, reduce the power dissipated in the transmission lines. And for safety and other reasons, step down transformers are then used for distributing power to the residential building at a low voltage. Transformers are also used in electronic applications to provide impedance matching and circuit isolation. Well-designed transformers approximately meet the conditions assumed for the ideal transformer. Realistically, however, they require excitation current, and consequently, have core loss (hysteresis and Eddy-current) losses, and copper losses due to the coil resistances. In addition, not all the magnetic flux stays in the core, some leaks off into the air. This experiment examines the performance of a practical transformer. Its excitation current as well as its core losses are evaluated from the open-circuit testing at the rated voltage, and the copper losses are evaluated from the short-circuit testing at the rated current. The equivalent circuit of the practical transformer is then determined. The transformer’s voltage regulation is also evaluated for different loading conditions. 2.2 Pre-Lab Assignment 1) A 60 VA, 120/60-V, 60 Hz transformer supplies the rated current to a resistive load. a- Find the number of the primary turns, and the maximum value of the flux φ, assuming that the transformer has 50 turns on the secondary winding. b- Determine the magnitude of the load impedance as seen from the power source. 2) For the transformer in question (1), determine the efficiency of power transformation at full-load with a unity power factor, given that the core losses are 3 W and the copper losses are 6 W. 2.3 Procedure General safety: To prevent injury to persons or damage to equipment, the power source must be turned OFF prior to the completion (or changes) of any circuit connections around the transformer. Equipment AC power supply module: EMS 8821 Transformer module: EMS 8341. Name plate rating: 60 VA Resistance module: EMS 8311 Fluke digital multi-meter Part I: Open-Circuit Test 1- With the AC-power supply turned OFF, and the variac at zero position, connect the circuit shown in Fig. 2.1. Notice that the higher voltage winding of the transformer is left open circuited during the test. 23- Fig.2.1 Open-circuit test circuit layout 2- Connect the clip-on Ammeter loop (of the DMM) around the wire connecting nodes 6 and 5. Turn the AC power supply ON, and gradually turn the variac’s knob clockwise until the voltmeter reading becomes equal to 60 V, which is the low-voltage side rated voltage. Record the voltage, current, and power readings of the DMM in table (2.1). Note that these readings have the following relationship: P=V.I.cosθ, where θ is the phase angle between the voltage and the current phasors (V w.r.t I). Table 2.1 V (V) I (mA) P (W) θ° 3- Use the data in table (2.1) to find the values of the in-phase (hysteresis) Ic and the magnetizing Im current components of the excitation current Ie. Then find the equivalent core resistance RcL, and the equivalent magnetizing reactance XmL. Record your results in table (2.2). Note that the subscript L in RcL and XmL is a reminder that these values were obtained on the low-voltage side of the transformer Table 2.2 Ic (mA) Im (mA) RcL (Ω) XmL (Ω) 4- Turn OFF the power source. Connect the voltmeter across the high-voltage side of the transformer (terminals 1 & 2). Turn the power ON, and record the voltmeter reading in table (2.3). Determine the turns ratio “a” of the transformer, and evaluate the core resistance RcH and the magnetizing reactance XmH. Table 2.3 a = VHV/VLV RcH (Ω) XmH (Ω) Part II: Short-Circuit Test 5- Turn OFF the power source, and turn the variac knob (counter-clockwise) back to zero position. Modify your circuit connections as shown in Fig.(2.2). Fig. 2.2 Short-circuit test circuit layout 6- Connect the clip-on Ammeter loop around the wire connecting the nodes 6 and 1. Turn the power ON and very slowly turn the variac’s knob clockwise until the Ammeter reading becomes equal to 0.5 A, which is the high-voltage side rated current. Record the voltage, current, and power readings of the DMM in table (2.4). Table 2.4 V (V) I (mA) P (W) 7- Use the data in table (2.4) to find the values of ReH and XeH and record these values in table (2.5). Note that ReH and XeH are the equivalent resistance and equivalent leakage reactance as seen from the high-voltage side of the transformer. Table 2.5 ZeH (Ω) ReH (Ω) XeH (Ω) 8- What are the values of equivalent resistance and leakage reactance, ReL and ReL as seen from the low-voltage side of the transformer? ReL = Ω Xe L = Ω Part III: Voltage Regulation 9- Turn OFF the power source. Modify the circuit connections as shown in Fig. (2.3). connect the clip-on Ammeter loop around the wire connecting the nodes x and y. Fig. 2.3 Voltage-regulation circuit layout 10- Starting with RL=240 Ω=1200//300, which is the resistive load value that will draw the rated current at rated voltage on the high-voltage side of the transformer. Turn the power ON. Gradually turn the variac’s knob clockwise until the voltmeter reading across RL equal to 120 V. Record the value of the load voltage VL and current IL in the table (2.6). 11- Switch ON the next value of RL as listed in table (2.6), and measure the corresponding values of VL and IL. Use Graph (2.1) to plot the voltage regulation curve (VL vs. IL). Table 2.6 RL (Ω) IL (mA) 240 Rated current VL (V) 300 400 600 1200 ∞ No-load VL(V) IL(mA) Graph 2.1 2.4 Conclusions and Remarks 1- Draw the equivalent circuit of the step up transformer as seen from the power source (the L.V. side is the primary and H.V. side is the secondary). 2- With the step up transformer operating at the rated load and unity power factor, find the following performance parameters: a) The voltage regulation, b) The efficiency of the power transformation. Last updated May 13, 2012-S.H.