Application Note

P&B

Beware of Zero-Crossover Switching of Transformers
A zero-crossover solid-state relay may be the worst possible method ofswitching on a transformer or a highly inductive load. Evidence1 hascome to light that zero-crossover turn-on of such loads can cause a surge
current of perhaps 10 to 40 times the steady state current, whereas
turn-on at peak voltage results in little or no surge.
Surge currents of such magnitude can seriously shorten the life of thezero-crossover SSR, unless the SSR has a current rating well in excessof the load. They create EMI and RFI (all along the load line) which candestroy logic gates and cause unwanted turn-on of semiconductor
switches. Additionally, these surge currents create thermal andmechanical stress on the windings of the inductance and on thetransformer core laminations. These stresses can lead to early failure of
the device.

Figure 1

The cause of inrush currents of such magnitude is core saturation.
Transformers are designed to operate below the knee of the saturation
curve of the core material that is, below point A in figure 1. However,saturation does occur, and when it does, inductance decreases to a very
low value. Impedance then drops to little more than the DC resistanceof the primary circuit. (This can hold true for any saturable reactance.)
When an inductance whose core contains no remanent magnetism is
initially energized at voltage peak, the rate-of-change of current (di/dt)
generates maximum counter emf and, as shown in A of Figure 2, there
is no flux surge. However, if voltage is applied at zero, cemf is minimaland “flux doubling” occurs, as shown in B of Figure 2. This flux doublingis the result of a current surge which can last for several half-cycles.
Remanent magnetism in the core can aggravate this surge condition. It
is the nature of core material to retain magnetism to some degree aftermagnetizing voltage has been removed. If transformer primary voltage
is reapplied at zero crossover and in such a direction that the increasing
field supports remanent flux, a flux of 2øm +ør results (C of Fig. 2). Thisflux, of course, is entirely offset from zero, and the core is in deep
saturation, as shown by the hysteresis curve in F of Figure 2. (D and E
are the hysteresis curves for conditions A and B, respectively.) Inrush
current, therefore, is many times normal, as shown in G of Figure 2, andcan last for several half-cycles.
A 150 VA transformer has a 120 volt primary DC resistance ofapproximately 1.5 ohm, and a 500 VA transformer, a 120 volt primary
resistance of approximately 0.3 ohm. One might think a 5 amp zerocrossover SSR would be more than sufficient to switch the current of
the 150 VA transformer. However, during core saturation, primary-winding
inrush is 80 amps:

I = E = 120 = 80 amps.
R1.5

In the case of the 500 VA transformer, one might think a 10 amp SSR
might suffice. But, during core saturation, primary current is 400 amps!

I = E = 120 = 400 amps.
R

0.3

Under such conditions, the SSR is severely overloaded, and thetransformer overheats. (Power expended in the primary during this 400
amp surge would be approximately 40 KVA.)

Figure 21

Figures 3 and 4 show the effect of a 90o turn-on SSR on transformer
inrush current. In Figure 3A, the transformer secondary is open, and theprimary is turned on near zero voltage. A first half-cycle inrush of 200
amps occurs (read scope tracing right to left). However, when that sametransformer is turned on at peak voltage (Fig. 3B), inrush is just 17%
greater than steady state current. That is, inrush if 7 amperes.
Figure 4 shows the oscillogram of the same transformer with thesecondary connected to a 250 ohm resistor. As can be seen by comparing
Figs. 3A and 4A, a loaded secondary has no appreciable effect on primaryinrush current.
Surge currents such as those shown in Figures 3A and 4A can be
destructive to a zero-crossover SSR.
A “zero-crossover” SSR does not always turn on at precisely zero voltage.
It takes perhaps a millisecond or more for the circuitry to react. Therefore,
the load switch may not be fully on until load voltage is perhaps 15 to 20volts. In this event, surge current isn’t as great, but it is still potentiallydestructive. Also, a random turn-on SSR may, at times, turn on at or nearzero cross-over. The best method of turning on transformers and othersaturable, highly-inductive loads is by use of a peak voltage turn-on device.
Turn-on at peak voltage results in minimal surge, if indeed any surge ispresent at all.
Zero-crossover SSRs are excellent switches for resistive capacitive, andslightly inductive loads. Even so, inrush current must be taken intoconsideration. That is, an incandescent lamp can pull a “cold-filament”
inrush current of 10 to 20 times the steady-state “hot filament” current.
A motor can pull a “locked rotor” current of perhaps 6 times its runningcurrent. And the inrush of a capacitor, or the inrush of a circuit in whichsignificant stray capacitance is present, is limited solely by the DC
resistance of the circuit.

A (10A / vert. div.)

B (50A / vert. div.)

Figure 3: 150 VA transformer, unloaded secondary. Top tracing isprimary current; bottom tracing is primary voltage (120VAC). (Readtracing from right to left.)A (10A / vert. div.)

B (50A / vert. div.)

Figure 4: 150 VA transformer, secondary connected across 250ohmresistor, 240VAC. Top tracing is primary current; bottom tracing isprimary voltage (120VAC).

1. Reference material:“Alternating Current Machines,” Halsted Press, John Wiley& Son, “Inductively Loaded SSRs Control Turn-On to
Eliminate First-Cycle Surges,” Electronic Design, March 15,
1979. “Controlling Transformer Inrush Currents,” EDN, July,
1966.
“The Great Zero Cross-over Hoax,” NARM
Proceedings, May, 1974.

Tyco Electronics Corporation – P&B, Winston-Salem, NC 27102
Technical Support Center: 1-800-522-6752, www.pandbrelays.com
Specifications and availability subject to change without notice.
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