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Voltage Multipliers - Micapliers
What do they do?
A voltage multiplier converts an AC waveform into a DC output which is N times greater than the peak-to-peak voltage of the input waveform or 2 x N times the peak of the input voltage. N is the number of stages in the multiplier and is usually between two and ten.

Other terminology used for multipliers include:
• Voltage Doubler = 2 x multiplier
• Voltage Tripler = 3 x multiplier
• Quadrupler, Pentupler, Hextupler = 4, 5, 6 x multipliers


Figure 1: Representation of sine wave and square wave for electrical and hydraulic models.

Figure 2: Showing same format but different frequency and voltage for Household Current and typical Multiplier Input.
How Do They Work?
The input AC waveform to a multiplier can be sinusoidal (sine wave), rectangular (square wave) or indeed almost any shape. Household current available from a wall socket is sinusoidal and has a frequency of 60 Hertz. This can be applied to a voltage multiplier to produce higher values of DC voltage.

Applications for Reynolds Micapliers usually use a much higher frequency, from 10 kHertz to 100 kHertz and typically at voltages from 500 to 5000V peak-to-peak.

Figure 3: Electrical diode and its hydraulic equivalent.
Another Component - The DIODE

From Figure 3 it should be clear that the diode operates as an electrical flap valve, permitting free flow in the forward direction when the anode voltage (pressure) is higher than the cathode. In the opposite direction the diode cuts-off (valve closes), stopping the flow.

Electrical diodes behave almost identically in every respect to the model except that they are capable of operating much faster. Many diodes can easily control the unidirectional flow of current in a circuit which would otherwise reverse billions of times a second. The diode used in a typical Micaplier closes in less than 1/10,000,000th of a second when the voltage across it reverses.

Figure 4: Initial positive half cycle of input waveform.
AC + Capacitor + Diode = DC of Sorts
In Figure 4, the first positive half cycle of the input waveform does not cause any flow into the capacitor (diaphragm), because the diode (flap valve) “closes” to prevent this.

The pressure (voltage) at the output follows the input and no pressure difference occurs across the diaphragm (capacitor). The diaphragm is therefore not stressed. All the voltage is across the diode and the flap valve is firmly closed.

Figure 5: Capacitor charge is changed during the first negative half cycle.
Conversely, the first half of the negative half cycle produces no voltage charge at the output because the flap valve (diode) opens, permitting free flow into the capacitor (diaphragm) as shown in Figure 5. The input voltage actually appears across the capacitor as indicated by the stressed condition of the elastic diaphragm. Once the input voltage has passed beyond its negative peak, the diode (flap valve) is held closed by the voltage (pressure) stored on the capacitor and no further flow occurs.

Figure 6: Subsequent input cycles are reflected at the output.
During the second half of the negative half cycle, the input waveform returns to zero but the output waveform rises to Vpeak. This is due to the Vpeak charge stored during the first half of the negative half cycle and “trapped” by the reverse biased diode. The diode (or flap valve) is always kept shut from this point on, due to the pressure (voltage) from the stressed diaphragm (charged capacitor).

However, the output waveform is interesting. Notice that it has the same AC form as the input waveform but is “stood up” on its bottom peaks such that its voltage varies from 0V to the Vpeak-to-peak input value. It therefore has an average value of Vpeak. The input waveform, of course, is still split equally about the zero line with a consequent average value of zero.

Figure 7: Complete one stage multiplier.
Adding More Parts
When the additional diode and capacitor shown in figure 7 are added to the circuit to form a new output node, there is a marked improvement in the form of the new output.

Whenever the pressure at the output of the previous Figure (0V to Vpeak-to-peak) exceeds the pressure stored in the new diaphragm a flow occurs through the new flap valve into the new diaphragm. However, because of the presence of the new flap valve, no reverse flow occurs when the original output pressure goes down again. The new output thus is charged to a relatively steady DC level at 1 x Vpeak-to-peak (2 x Vpeak). This is a one stage multiplier and is the basic building block of many multiplier designs.

Figure 8: Adding the original circuit components a second time.
A Logical Leap
The voltages of the previous Figure are reproduced in Figure 8. It will be noticed that the lower right point is a DC level of Vpeak-to-peak, while the upper right node is the original AC input waveform shifted upwards in voltage by Vpeak.
Connecting the components of the very first circuit to these two points (the added components), the new output node will appear as shown to the right of Figure 8 - still the same AC input waveform but now stood on 2 x Vpeak to produce a peak voltage of 4 x Vpeak. Completing the second stage, by adding a further diode and capacitor, produces a DC output of 2 x Vpeak-to-peak (4 x Vpeak). This is now a two stage multiplier or peak-to-peak doubler and is shown electrically in Figure 9 on the next page.
More of the Same…
Figure 9 shows the completed two stage multiplier. This general configuration is known as the Cockcroft-Walton type. Several other popular configurations exist and the Micaplier technology can be successfully employed to implement all of them.

Figure 10 indicates the generalized configuration for a multi stage multiplier. Additional features including voltage feedback divider networks, surge limiters and filter capacitors can readily be built into the Micaplier packages.

Figure 9: Two stage Cockcroft-Walton multiplier

Figure 10: Multistage Cockcroft Walton configuration.
Practicalities and Applications
Voltage multipliers, especially those with three or more stages, are generally used in low current applications. One micro-ampere to a few milli-amperes of output current is typical, but of course, at quite high voltages. A 25kV output at 2mA is a power output of 25,000 x 0.002 = 50 watt for example. Although there are technical constraints on output current capability, the most notable being high effective output resistance, this rarely disqualifies any new application. After all, most ciruitry designed to operate at tens of thousands of volts requires only a small current.

As a matter of interest, voltage multipliers are the only realistic way to produce high voltages in many situations. A low current transformer for example, producing 25 kV directly, has to be physically large to satisfactorily handle the voltage stresses, especially if used at altitude. Using a 5 stage Micaplier, the transformer only needs to produce voltages of 2.5 to 3.5kVpeak to do the same job. This alone makes it possible to reduce both the size and weight dramatically. Further, the high speed diodes used in the Micaplier permit a much higher operating frequency to be used than is possible for the direct transformer design, leading to further considerable space and weight economies.

Practically all airborne CRT displays and most stroke written CRTs use multipliers. Other common applications are listed in the Micaplier Data Sheets.

Specifying a Micaplier
To make an initial determination as to whether an application can be met with a Micaplier, please complete the following questionnaire.

  1. Input Voltage: Maximum input voltage for a micaplier is 22kVpeak-to-peak. Required input voltage ________ kVpeak-to-peak
  2. Output Voltage: Maximum output voltage for a micaplier is 100kVDC. Required output voltage ________ kVDC
  3. Output Power: Maximum for a single Micaplier is 100W. This is the product of the output voltage and the output current, volts x amperes (equal to Kv x mA). Output power required ________ W
    Continue with question 4 unless any of the above requirements exceed the stated limits. In this case, please consult the factory.
  4. Operating Frequency: Typically in the range of 10 kHz to 100 kHz ________ kHz
  5. Output Ripple: Vp-p at Maximum Current ________ Vp-p
  6. Input waveform: May be flyback, push-pull, PWM push-pull, Sinusodial, Square, etc. Describe as fully as possible_______________________________
    _____________________________________
    _______________________________________________________________
  7. Additional features: Check any features to be incorporated in the assembly. DC F/B divider; AC F/B divider; Additional filtering; Surge limiting resistor; Other (describe) ______________________________
  8. Available Space: Length____”; Width____”; Height____”;
  9. Termination Type (Pee Wee, Turret, Flying Lead, etc.): ________
  10. Mounting Means (Studs, Inserts, Lugs, etc.) ________
  11. Required Quantity ________

Glossary
anode n. A positively charged electrode, as of a storage battery, electron tube, or semiconductor diode.
average value n. the arithmetic mean of the voltage with respect to time.
cathode n. A negatively charged electrode, as of a storage battery, electron tube, or semiconductor diode.
diode n. an electronic device that restricts current flow chiefly to one direction, a two terminal semiconductor device used as a rectifier.
feedback divider n. two or more resistors connected in series across a voltage source from the junction of which, a sample of the output voltage can be measured; AC voltages can be sampled using two or more capacitors similarly connected.
filter capacitor n. a decoupling, or reservoir capacitor connected close to the output of a multiplier to reduce ripple voltage
peak voltage n. the largest voltage difference, positive or negative, measured between two points in a circuit
peak-to-peak voltage n. the sum of the positive and negative voltage differences between two points of a circuit.
reverse bias n. application of a voltage to a diode or other rectifier, in such a direction as to not permit current flow
ripple n. usually measured as the peak-to-peak voltage excursion of a DC node from its mean value; sometimes peak value or even rms value is specified
rms value n. root-mean-square value of an AC waveform is equal to the DC voltage which would produce an equal amount of power.
stroke writing n. a CRT display technique of wrtiting discrete lines, or strokes, by moving the electron beam from one end point to the other as opposed to a scanned raster display used in television sets.
surge limiter n. a resistor located at the output of a multiplier to limit the peak output current in a default condition to a known value





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