Comparing Three-Phase Power Measurement Instruments

Transcription

1 Comparing Three-Phase Power Measurement Instruments TECHNICAL BRIEF Ken Johnson September 9, 2015 Summary Teledyne LeCroy s Motor Drive Analyzer (MDA) provides three-phase power measurements comparable to a power analyzer using its eight 12-bit input channels. This brief summarizes how to correctly compare Yokogawa s power analyzer instrument to the MDA, and to explain any differences in measurement results between the two instruments. Introduction Power analyzers have been manufactured for many years and are used in a wide variety of applications. Often, many settings and preferences can have significant impact on the measurements. Or, there are legacy capabilities that may not be well-understood. This technical brief explains the settings in the Teledyne LeCroy Motor Drive Analyzer (MDA) to achieve results consistent with a Yokogawa Power Analyzer, and to explain why the results will be different in some cases. Measurement Period ( Sync ) Calculation First, for proper power analysis, one must determine a measurement period within which all calculations take place. Both the Teledyne LeCroy MDA and a Yokogawa Power Analyzer use a Sync signal to determine the measurement period. In both cases, the Sync signal can be low-pass filtered to reduce the chances of finding an incorrect measurement period. See the images below: For a nearly sinusoidal (e.g. low distortion) signal, both instruments should find the same measurement period with the same LPF cutoff selections, though the Teledyne LeCroy MDA offers a wider variety of selections. The Teledyne LeCroy Motor Drive Analyzer also permits adjustment of hysteresis (band), allowing user-defined control of the software s ignoring of non-monotonicities that interfere with the measurement period calculation. This is explained in detail in the MDA s software instruction manual. Such control can be very useful for signals that have higher distortion (e.g. brushless DC six-step commutated signals) or signals that have high distortion during high stress or failure events. Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 1 of 7

2 Note that the Teledyne LeCroy Motor Drive Analyzer also permits display of the filtered Sync signal with a measurement period overlay, rendering the Sync signal settings easily understandable. See the screen image below (the Sync signal with the overlays appears at bottom). Lastly, the Teledyne LeCroy Motor Drive Analyzer applies the Sync filter and hysteresis settings as a postacquisition software process, while most power analyzers apply Sync filtering and hysteresis settings to the waveform during the acquisition. Thus, in the Teledyne LeCroy MDA, it is possible to make changes postacquisition whereas this is not usually possible with a power analyzer instrument. Combined with the Sync period overlay, one may use the MDA s post-acquisition processing to fine tune the filter and hysteresis settings for optimum results without having to take a new acquisition and lose the acquired data. Apparent Power Formula In Yokogawa s Power Analyzer instrument, users may measure apparent power (S) through selection of any of the following formulas in their setup menu: VVVVVVss IIIIIIII Same as provided by Teledyne LeCroy, as described in this document VVVVVVVVVV IIVVVVVVVV Product of rectified mean values calibrated to the RMS values VVVVVV IIVVVV Product of simple averages of the voltage and current VVVVVVVVVV IIIIIIII Product of the voltage s rectified mean value and the current s true RMS value VVVVVVVVVVVV IIIIIIIIIIII Product of the voltage s and current s rectified mean values Teledyne LeCroy only provides capability for VVVVVVVV IIIIIIII calculation of apparent power. To correlate power values from the Yokogawa power analyzer to the Teledyne LeCroy MDA s results, set the selection for apparent power calculation on the Power Analyzer to VVVVVVVV IIVVVVss. Three-Phase (Total) Power Calculations Teledyne LeCroy employs one method for calculation of power values whereas Yokogawa provides three different methods that return different results. The following is a simplified summary of the Teledyne LeCroy method and the Yokogawa methods for calculating power for a single power cycle see the respective instruction manuals for complete formulaic descriptions. Note that the table below assumes use of the VVVVVVVV IIIIIIII formula in the Yokogawa Power Analyzer for Apparent Power calculations. Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 2 of 7

3 Teledyne LeCroy Yokogawa Type 1 Yokogawa Type 2 Yokogawa Type 3 Real Power P (in W) Apparent Power S (in VA) Reactive Power Q (in VAr) Power Factor (λ) VV II (iiiiiiiiiiiiiiiiiiiiiiiiii ssssssssssss pppppppppppp) VVVVVVVV IIIIIIII VVVVVVVV IIIIIIII VVVVVVVV IIIIIIII QQ 2 PP 2 SS 2 PP 2 VVVVVVVV IIIIIIII sin φφ SS 2 PP 2 VVVVVVVV IIIIIIII sin φφ Phase Angle (φ) cos 1 λλ cos 1 λλ cos 1 λλ cos 1 λλ For perfectly sinusoidal (zero-distortion) waveforms, it is possible to measure the phase angle φ between the voltage and current sinusoids. However, it is not possible to measure the phase angle φ when the waveforms are distorted (e.g. PWM drive output waveform). Therefore, the Teledyne LeCroy method or Yokogawa s Type 2 method are the only methods that demonstrably produce accurate results for reactive power (and therefore power factor and phase angle) with distorted waveforms (both also produce accurate results with sinusoidal waveforms). Yokogawa s Power Analyzers offer the Type 3 method on models with the harmonic measurement-mode option. This option appears to enable definition of a fundamental signal from one of the PWM signals using a PLL source. Then, the instrument determines phase angle by comparing the fundamental voltage and fundamental current waveforms, with power determined for the fundamental and each harmonic through N harmonics. This should provide a similar result to values provided by the Teledyne LeCroy Harmonic Filter setting = Fundamental or Fundamental + N (see below), provided that the hardware PLL response in the Yokogawa power analyzer can accommodate any change in period of the measured signal during the acquisition window. Note that the Yokogawa power analyzer always calculates real power P correctly in all cases. If this is the only power value of interest, then all methods are suitable. However, to correctly calculate S, Q, λ, or φ, one must choose the correct Yokogawa power analyzer measurement method (if more than one is offered). Per-Phase Power Calculations The Yokogawa instrument calculates per-phase power using the same equations as total three-phase power, but on one phase at a time. The Yokogawa Type 2 method with apparent power setting = VVVVVVVV IIIIIIII always correlates (assuming there is no problem with the Yokogawa power analyzer obtaining a proper Sync period) with Teledyne LeCroy s MDA Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 3 of 7

4 when using three-phase, four-wire (three voltages, three currents) wiring configurations with line-neutral or linereference voltage probing. However, if using line-line voltage probing, then per-phase power calculations in the Yokogawa power analyzer will be unbalanced and incorrect, even though the three-phase total will be correct. The reasons for the differences are as follows: 1. The Yokogawa three-phase, three-wire (three voltages, three currents) wiring configuration is natively defined as a two-wattmeter setup. This is beneficial in that switching from a three-voltage and threecurrent measurement to a two-voltage and two-current measurement requires no re-connection of wires to the power analyzer. However, it also means that the line-line voltages and currents are incorrectly associated with each other on a per-phase basis. See Figure 1 (Yokogawa) below and compare to Figure 2 (Teledyne LeCroy). 2. The Teledyne LeCroy three-phase, three-wire (three voltages, three currents) wiring configuration also uses a two-wattmeter method for total three-phase power calculations, but maintains the correct perphase vector relationships to obtain proper per-phase calculations. Teledyne LeCroy simply inverts one of the voltage waveforms for the total three-phase power calculation. 3. The voltage associations made by Yokogawa have no impact on the total three-phase power (real, apparent, or reactive), phase angle, or power factor because the vector (voltage and current) relationships defined in their wiring setup are the correct relationships for the two-wattmeter method used to calculate their total three-phase power. 4. Both instruments can perform a line-line to line-neutral conversion (referred to as a delta-star conversion by Yokogawa, which is an extra-cost option). However, while Teledyne LeCroy s MDA will return accurate per-phase power calculations for P, S, Q, λ, and φ with this type of conversion, the Yokogawa power analyzer instrument will only return power calculations for P. Figure 1: Yokogawa 3-phase, 3-wire (3V, 3A) wiring configuration voltage and current associations Figure 2: Teledyne LeCroy 3-phase, 3-wire (3V, 3A) wiring configuration voltage and current associations The practical impact of the Yokogawa wiring configuration is that the voltage and current pairs all have different phase relationships (which is what leads to the incorrect per-phase power calculations). This is shown below on actual three-phase acquisitions: Yokogawa Teledyne LeCroy Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 4 of 7

5 3-phase voltage and current pairs, separated by pair 3-phase voltage and current pairs, overlaid Calculated results appear as follows with and without a line-line to line-neutral (delta-star) conversion. Yokogawa Without Line-Neutral conversion (Delta-Star) Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 5 of 7

6 With Line-Neutral converstion (Delta-Star) Teledyne LeCroy Without Line- Neutral conversion With Line- Neutral conversion Steady-State vs. Dynamic Events The Yokogawa power analyzer calculates a mean value over a normally short acquisition time (several cycles). An option exists for increasing the update rate for the mean-value calculations, but it is still a mean-value calculation over a defined period of time or number of cycles. The Sync period is determined through a PLL circuit programmed into an FPGA, which has a limited ability to lock onto widely varying speeds, dependent on the PLL loop bandwidth. In general, there is no practical limitation on a steady-state signal with a slowly changing measurement Sync period. Thus, a Yokogawa power analyzer is very good for measuring mean values of power in steady state (constant load, torque, speed, etc.) operating conditions. The Teledyne LeCroy MDA can acquire short records and calculate mean power values for display in a table. As described earlier, the Sync period is determined using a software algorithm. However, it can also make accurate measurements under dynamic operating conditions or loads because it lacks the operating limitations of a power analyzer instrument. If the load is dynamic, it is quite possible that a power analyzer instrument cannot provide a meaningful result. First, ensure correlation on a simple, static, steady-state load condition, and then attempt correlation with something more dynamic. If one cannot correlate results during dynamic operation, it is likely because the power Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 6 of 7

7 analyzer instrument cannot accurately determine or verify Sync period, which is not typically a limitation of the Teledyne LeCroy MDA. Summary It is easy to correlate a Yokogawa power analyzer instrument to a Teledyne LeCroy MDA. The Teledyne LeCroy MDA does provide more visual feedback on its operation, especially in accurate calculation of the Sync measurement period, which is vital to accurate power measurements. In some cases, a Yokogawa power analyzer instrument has different settings or makes different wiring assumptions that lead to different results, which can be easily understood once they are known. For more information contact us at sales@testforce.com, or call us toll-free at 1(888) Teledyne LeCroy Comparing Three-Phase Power Measurement Instruments page 7 of 7