ENCYCLOPEDIA OF RADIO ELECTRONICS AND ELECTRICAL ENGINEERING Measurement of sweep voltage non-linearity. Encyclopedia of radio electronics and electrical engineering Encyclopedia of radio electronics and electrical engineering / Measuring technology The methods for measuring the error of a device with a linearly varying voltage, presented by the author on the example of an oscilloscope sweep generator, can also be used to assess the quality of other similar units. The linearly changing voltage (LIN) is used in a wide variety of electronic devices. Most clearly, in the literal sense of the word, it manifests itself as a developing voltage in the horizontal deflection channel of the oscilloscope. The transformation of an oscilloscope from a device that allows you to visually qualitatively evaluate the shape of the electrical signal under study into an accurate measuring device became possible after the creation of a CRT with a flat screen, an internal parallax-free scale and accurate calibrated sweep generators. In order to determine the duration of the signal under study directly on the scale of the tube, the output voltage of the horizontal sweep generator must be linear and stable. But it is impossible to obtain a linear unfolding voltage without the ability to measure its nonlinearity. Nonlinearity measurement methods are considered using the sweep generator described in [1] as an example. On fig. 1 shows a simplified diagram of its LIN pulse shaper. The sweep voltage is linearized by changing the voltage transfer coefficient of the follower to VT1, VT2, in which KU = (R2 + R3 + R4) / (R3 + R4). Judging by the resistance values of the resistors included in the formula, it is very close to 1. When the resistance of the resistor R2 changes from 0 to 5 ohms, the sweep voltage nonlinearity changes its sign and absolute value by a few tenths of a percent. The article discusses several measurement methods. Their resolution, i.e. the minimum non-linearity that they can measure, reaches 0,02 ... 0,04%. In the sweep generator, the circuit of which is shown in Fig. 1, the formation of LIN occurs by charging the capacitor Ct with a constant current through the resistor Rt, therefore, the voltage drop across it between points A and B must be constant. Let's denote it as UR. If this voltage is applied to the input of the measuring oscilloscope, then the screen will display, in the first approximation, a horizontal straight line. If KU does not change throughout the LIN, then the line on the screen will be really straight. In the case of a positive non-linearity of the sweep, the right end of the line on the screen will deviate by ΔUR down, with a negative one - up. As a rule, KU is not quite stable, therefore, in the general case, the sweep nonlinearity ε= ±(ΔUR /UR)x100[%]. It is very convenient to measure UR with an oscilloscope with a differential input. Unfortunately, with a large resistance Rt, significant errors arise: the input resistance of the differential stage of the oscilloscope, connected at point A (let's denote it RBX), shunts the resistor Rt. Usually the value of RBX=1 MΩ. The other input of the differential stage of the oscilloscope does not affect the LIN parameters, since it is connected to the low-ohm output of the repeater at point B. Nonlinearity can be estimated with good accuracy with a conventional oscilloscope. The measurement scheme is shown in fig. 2. When measuring, the common power rails of the generator and the oscilloscope and their cases must be isolated from each other. Element G1 - to compensate for the constant component, the installation of which is carried out with a tuning resistor R4. Here, the input resistance of the oscilloscope is connected in parallel with Rt and shortens the LIN pulse somewhat without introducing additional non-linearity. The capacitance of the oscilloscope case in relation to the generator case, as well as the input capacitance of the oscilloscope and the capacitance of the probe cable Свх also do not affect the formation and parameters of the LIN pulses. Another method for measuring non-linearity is based on the fact that the first derivative of a linearly varying function is a constant value. This means that if the signal from the output of the LIN shaper is fed through the differentiating RC circuit to the input of the oscilloscope, then we will see a horizontal straight line on its screen (at ε = 0). This method is used in practice and is even recommended as an example in the collection of problems for universities [2]. However, in reality, a different picture is obtained on the screen (Fig. 3). Here U1 is a linearly changing voltage, U2 is the expected image of the first derivative, U3 is the real picture. This method, as it is usually used, is not suitable for assessing the non-linearity of the sweep of the oscillator in question, but there is one artificial trick that allows it to be used. Let's look at fig. 4, a. A correction resistor RK is connected in series with the capacitor Ct, at a nominal value approximately equal to Rt. When RK > 0, the voltage at point A after opening the key S does not increase from 0, as usual, but jumps - from UK = it · RK. The voltage jump is transmitted to the output of the repeater at point B, and the picture shown in Fig. 4b. The possibilities of this artificial technique are limited by the fact that the beginning of the impulse U2 is, as it were, cut off. If information is sacrificed from 10% of the LIN duration, which is quite acceptable (the initial and final sections of the sweep voltage are rarely used), then U2 = 500 ... 600 mV. The resolution of the method when using, for example, an oscilloscope C1 - 83 with a minimum division value of 0,2 mV, reaches 0,04%. Without the use of RK, the initial part (10%) of the signal is lost at U2= = 100 mV. The resolution of the method deteriorates to ±0,2%. A valuable property of this method is that it can be used to measure the nonlinearity of the sweep voltage after the horizontal channel amplifier, which cannot be done by other methods. Another method proposed by V. A. Bondar and V. A. Shaverin [6] resembles the previous one according to the scheme (Fig. 5). A resistor Rp is connected in series with Rt and Ct, and the signal is taken from it. After opening the key S, a voltage jump occurs on the resistor Rp, as on the resistor RK in circuit 4, a. The greater the resistance of the resistor Rp, the greater the signal value and the higher, it would seem, should be the resolution of the method. However, there are sources of error that limit it. In particular, the resistance Rt forms an integrating circuit with the capacitance (Ck + Cvh). The leading edge of the pulse Up collapses, and part of the measured signal is lost. With a loss of duration of about 10%, the amplitude Up is 500 ... 600 mV and the resolution of the last method is the same. Literature
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