This is about a means to save much of the power dissipated when driving a highly capacitive load with a repetitive clock pulse waveform.
A little history about this concept. We were awarded a contract to develop a battery power Handheld Real Time Spectrum Analyzer (RTSA) back in 1980~81. The RTSA concept was based upon a tiered Chirp Z Transform (CZT) and the lower tier CZT had very long Real and Imaginary CCD convolvers which had 4 clock inputs, 2 of which were very large clock capacitances.
Prior efforts to develop this RTSA by two large West Coast Technology Firms (CA) with in-house custom CMOS capability had failed. One of these firms had recognized the power consumption of the large CCD capacitances and developed a multi-tapped transformer approach (we were told they were patenting the concept) to reduce power consumption, so we needed to avoid this approach and started looking for another means to drive the CCD clock large capacitances.
After much research, and not finding any prior work, we ended up with a technique where the clock energy required to charge the CCD capacitances was exchanged from another source/de-coupling capacitance with an inductor and transferred to the CCD capacitance for the high voltage state (+15), then recovered with the same inductor to the source/capacitance for the low 0 volt state. A low-loss series LCR circuit allows the peak to peak voltage across C to be ~ doubled from the peak voltage across L at resonance. The idea is to "Open" a series switch when the inductor current is 0, then the C voltage is maximum peak and then the switch is closed and the L current swings to maximum magnitude and again back to zero when the switch is again opened. At this time the C voltage swings down and is ~ 0. The peak to peak voltage across C is ~ 2X the peak magnitude voltage across L which alternates polarity. The circuit shown also has the feature to self regulate and optimize power loss without any additional effort or circuitry (a concept that the late Bob Pease disputed and later conceded when a wager was proposed, but that's another story).
The voltage across the mid-level bypass filter capacitor will self adjust to minimize the overall clock driver power consumption. To be honest this was discovered by accident, during a early testing setup to evaluate the new CCD chips. A number of DMMs were connected to the various PS inputs of +15V, +-15, +5 +-7.5, and a couple reference voltages and a number of analog scopes connected to various test points and clocks. While reaching across the setup we knocked off the clip lead that supplied the +7.5VDC for the Reactive Clock Driver and while attempting to reconnect we noticed the clock waveforms on the scopes didn't change. Upon further investigation we noticed the supply current from the +15VDC clock supply actually dropped without the clip attached, and none of the other supply currents changed. So without the 7.5VDC bias supply connected the overall power consumption was lower for the CCD and without any detrimental effects to the waveforms and performance!!
What was happening, the circuit would self-servo to a condition where the average current thru the inductor would be ~ 0 and thus not "wasted". We monitored this bias voltage while changing the +15VDC main clock voltage, and later changed component values and temperature, and the voltage would self-regulate to optimum low power condition!! We should have patented the idea but didn't and about 7 years later NASA patented a similar CMOS driver for driving large Gate capacitances in Power MOS devices. Eventually we were allowed to publish and did so in 1989 EDN.
Back in ~2007 we were developing a custom CMOS Digital System on Chip that needed to be very low power and resurrected this old Reactive Clock concept. We prepared a brief booklet for the Digital chip design folks to use, since we weren't part of this chip development, and this booklet is where these pages originate.
Anyway, some folks may find this Reactive Clock circuit concept interesting and useful, so here it is. Note the EDN article included an HP41C program as shown, the various formula derivations are left to the reader.
BTW: The RTSA worked very well indeed and put "us" on the map
Best,