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AC Power Basics and Mechanisms of Power Measuring Instrument
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4. Actual Measurement Example: Inverter Power Consumption
An inverter is a type of power transformer that can be simply described as a DC to AC converter. When converting DC signals to AC signals, a switching circuit is used to change the pulse width, and a pseudo-AC signal output is created. This modulation method in which the pulse width is changed is called a pulse width modulation (PWM)method. Figure 8 diagrams the modulation process.

Diagram of inverter modulation
Figure 8: Diagram of inverter modulation

· Measurement Bandwidth Needed for Inverter Measurement
The most common use of inverters is for motors, and motors constitute loads with resistance and inductance connected in series. As an example, if a PWM voltage of fundamental frequency 30 Hz and carrier frequency 10 kHz is applied to an R-L load of R = 1 Ω and L = 1 mH, figure 9 shows the R-L load frequency characteristics and the content ratio spectrum of PWM voltage signals and active power.
Even if a PWM voltage that has high-frequency components is applied to the R-L load, the load characteristics almost totally prevent harmonic current from flowing. As stated in section 2.2, it is enough to use a measuring instrument having low frequency bandwidth characteristics in terms of either voltage or current for measurement of active power. Therefore even if extremely high frequency components are included in the voltage PWM signal, high measurement bandwidth is not necessarily required as these components are not included in the current signal. Considering the example in figure 9, in the case of motor drive inverters, it is sufficient to have a measurement bandwidth of up to several times the carrier frequency to maintain a certain degree of high measurement accuracy.

· Notes on Voltage Measurement with Recent Inverter Drive Motors
When testing inverter motors, the motor’s drive characteristics are thought to be influenced by the RMS fundamental wave of the inverter’s output voltage. Also, as the fundamental wave RMS value of sinewave modulated PWM is almost identical to the measured value obtained with the rectified mean value calibrated to the rms value (voltage MEAN), measurement by rectified mean value calibrated to the rms value seems to be sometimes used for inverter voltage measurements. However, with variable PWM control in recent years and other non-sinewave PWM modulation signals, there are cases in which the rectified mean value calibrated to the rms value yields measurements that are far removed from the fundamental wave. In such cases, as in section 3.4, the powermeter can accurately measure the fundamental wave if it employs a harmonic measurement function. Conventional powermeters required a changing of modes when measuring active power or RMS current with high-speed sampling, but more recent powermeters can measure voltage, current, power, and harmonics simultaneously. This not only makes measurement easier, but also allows simultaneous measurement of power and fundamental wave values. With inverter drive circuits, heat emissions that change with the passage of time have a substantial effect on instrument characteristics, so it can be very important to capture data at the same time.

Example of PWM inverter voltage and power content ratio, and R-L load frequency characteristics
A motor is an R-L load, so when frequency is high, impedance increases

Example of PWM inverter voltage and power content ratio, and R-L load frequency characteristics
As for the power spectrum,
the carrier frequency is extremely small relative to the fundamental component.

Figure 9: Example of PWM inverter voltage and power content ratio,
and R-L load frequency characteristics

5. Conclusion
With inverters, power supplies, and other types of power electronics, changes in circuit characteristics and wiring loss can have an effect since many are driven under high voltage and current, which is associated with heat emissions. Also, it is very difficult to maintain the same measurement conditions because these devices are composed of complex control circuits, and the conditions change with time. Therefore, to obtain more precise measurements of the circuit under test, simultaneous measurement of inputs and outputs, and simultaneous measurement of each measurement item are basic but actually quite important measurement techniques. One must be cognizant of the fact that there are cases in which setting of conditions for wiring methods and measurement that are optimal for the level and frequency of the signals being processed is important for more than just selection of measuring instruments.
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·  AC Power Basics and Mechanisms of Power Measuring Instrument
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