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OPA607 Datasheet(PDF) 13 Page - Texas Instruments |
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OPA607 Datasheet(HTML) 13 Page - Texas Instruments |
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13 / 21 page ![]() 13 OPA607 www.ti.com SBOS981 – OCTOBER 2019 Product Folder Links: OPA607 Submit Documentation Feedback Copyright © 2019, Texas Instruments Incorporated To calculate the required value of RSH, a rule of thumb can be used. The maximum wattage that can be dissipated across a surface-mount device (SMD) resistor on a board having a good thermal layout is approximately 1 W. Because W = I2 × R, plugging in the values for W and ISH yields a RSH value of approximately 7 mΩ. The voltage developed across RSH when ISH = 12A is 84 mV. The maximum allowable voltage at the input of an ADC such as the ADS7042, powered from a 3.3-V VCC, is 3.3 V. This value can be found in the Electrical Characteristics table of the ADS7042 data sheet. However, for this design, the maximum allowable voltage at the input of the ADC under normal operating condition is assumed to be 3 V. Thus, the full-scale reading (FSR) for this design can be considered as 3 V. This value enables the design to have a 300-mV headroom in case the current exceeds the maximum rated value of 12 A. In other words, for faults and other unexpected conditions, the ADC is capable in measuring currents up to 15 A. The voltage across RSH must be gained up before being fed to the ADC to increase the dynamic range of the sensing circuit. Because the considered FSR is 3 V, the output of the OPA607 must swing from the nominal value of 1.24 V to 3 V, whereas an ISH of 12 A is made to flow across RSH. Equation 4 defines the signal gain required by the op amp, which results in a gain of approximately 20 V/V. Gain = (3 V – 1.24 V) / 84 mV (4) Currents flowing across RSH in either direction are gained by 20 V/V and swing the output above or below the nominal 1.24 V proportionally. If the gain value is frozen at 20 V/V, then Equation 5 defines the maximum current that can be measured in the direction of GND to load. ISH = 8.8 A derived from Equation 5 meets the initial design requirement of current measuring capability of 8 A from GND to load. ISH = 1.24 V / (RSH × 20 V/V) (5) The next step is to arrive at the right GBW of an op amp that can drive a SAR ADC, while still being able to gain the signal by 20 V/V. As discussed further in this section, the calculations point towards an op amp with GBW in the vicinity of 50 MHz. A 20-kHz switching system such as a motor driver card has a minimum possible duty cycle of approximately 5%. Thus when the control card is running at its lowest duty cycle, the width of the current pulse (as shown in Figure 8) shrinks to approximately 2.5 µs. The current pulses are very narrow and require the op amp output to settle to the final value within this short span of time. Figure 8 is an exaggerated figure showing the typical current waveform in a low-side current-sensing signal chain of a sinusoidal-driven brushless DC electric motor (BLDC). An op amp must be able to settle to its 0.1% accuracy within this time period to ensure the current value flowing across RSH is captured in less than 2.5 µs. In reality, ensuring the op amp settles in less than 1 µs can be very desirable because the same amplification circuit can be fed to the comparator for short-circuit protection. This feature brings as additional value of using a high-bandwidth op amp in a current-sensing circuit. Because of the high bandwidth of the OPA607, as with any op amp, the rise time (which is the prime parameter deciding the response time of the short circuit protection circuitry) becomes very small. Equation 6 describes how the rise time and the bandwidth of a op amp are related to each other. tR (sec) = 0.35 Hz / BW (6) |
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