IEEE Circuits and Systems Magazine - Q4 2020 - 54

the carrier SHSN operates with equivalent circuit as
(L 1 + L c 1 + L m) / (C 1 - C m) . The relationship between L1,
L c1, Lm and Cc1, Cm of single SHSN at low power region can
be derived as from its resonance frequency
L 1 + L c1 + L m =

	

maximum current magnitude. This leads to the disappearance of the mutual magnetic coupling inductance
(L c1 + L m) and (L c2 + L m) in the SHSN. Its equivalent circuit is shown in Fig. 9.
As the mutual magnetic coupling (L c1 + L m) and (L c2 + L m)
disappears from back-off to saturation, the equivalent circuit of SHSNs become L 1 / (C 1 - C m) and L 2 / (C 2 - C m) . The
relationship between L1 and C1, Cm for each SHSN can be derived according to its resonance frequency

1
(22)
16r 2 f 20 (C 1 - C m)

At the saturation, both carrier and peaking devices
are conducting. The two signals are nearly orthogonal,
resulting in the RF electric current directions in the
SHSNs that are opposing and alternately reaching their

L1 =

	

1
(23)
16r 2 f 20 (C 1 - C m)

Zcarrier

Zcarrier
Carrier

Carrier
L1

Mutual Coupling
Network

TL1
2f0

Lm

2f0
Lc 1 + L m
Cm

TL2

2f0

C1 - Cm

Lc 2 + Lm
2f0

C 2 - Cm
L2

Zpeaking
Peaking

Zpeaking
Peaking

Figure 7. Proposed second harmonic short circuited networks [32] for carrier and peaking devices.

SHSN

Lc 1 + Lm

Lm
MCN

L1

Mixed Coupling

L1

TL1

Lc 1 + Lm

Lm
MCN

C1 - Cm

MCN

Cm
Cm

Lc 2 + L m

C2 - Cm
Lc 2 + Lm

TL2

C 1 - Cm

C2 - Cm

SHSN

L2

L2

Figure 8. Operating principle of MCN at the low power region in [32].

54 	

IEEE CIRCUITS AND SYSTEMS MAGAZINE 		

FOURTH QUARTER 2020



IEEE Circuits and Systems Magazine - Q4 2020

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