start-ver=1.4
cd-journal=joma
no-vol=1
cd-vols=
no-issue=1
article-no=
start-page=63
end-page=69
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=1966
dt-pub=19660331
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Approximate Solution of Nonlinear Oscillatory Circuits (I)
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=The well-known steady state solution of nonlinear oscillatory circuits based on the use of Fourier series, the so-called harmonic balance, is a powerful method because of its wide applicability. Yet, this method has not only difficulties to solve transcendental equations or algebraic equations of higher orders, but gives no transient state solution. The harmonic approximation and the extended harmonic approximation defined in this report are linearization methods which give approximations of steady state and transient state simultaneously.
Furthermore the method enables an unification and extension of miscellaneous
linearization methods.
en-copyright=
kn-copyright=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=MineTadao
kn-aut-sei=Mine
kn-aut-mei=Tadao
aut-affil-num=1
ORCID=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=YamamotoTatuma
kn-aut-sei=Yamamoto
kn-aut-mei=Tatuma
aut-affil-num=2
ORCID=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=BabaYukinobu
kn-aut-sei=Baba
kn-aut-mei=Yukinobu
aut-affil-num=3
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Electrical Engineering

affil-num=2
en-affil=
kn-affil=Department of Electrical Engineering

affil-num=3
en-affil=
kn-affil=Department of Electrical Engineering
END

start-ver=1.4
cd-journal=joma
no-vol=2
cd-vols=
no-issue=1
article-no=
start-page=96
end-page=110
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=1967
dt-pub=19670401
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Approximate Solution of Nonlinear Oscillatory Circuits (II)
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=In the preceding paper a new method of analyzing nonlinear periodic oscillations was proposed. In this article a new conception, which is named as the extended harmonic approximation of nonlinear oscillatory circuits, is presented. Method of obtaining transient solutions by the conception is given and various numerical examples are shown. The new conception has merits that a consistent
linearization method is given for both steady state and transient state domains and transient solutions are obtained simply.
en-copyright=
kn-copyright=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=MineTadao
kn-aut-sei=Mine
kn-aut-mei=Tadao
aut-affil-num=1
ORCID=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=YamamotoTatuma
kn-aut-sei=Yamamoto
kn-aut-mei=Tatuma
aut-affil-num=2
ORCID=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=BabaYukinobu
kn-aut-sei=Baba
kn-aut-mei=Yukinobu
aut-affil-num=3
ORCID=

en-aut-name=
en-aut-sei=
en-aut-mei=
kn-aut-name=YamamotoYositake
kn-aut-sei=Yamamoto
kn-aut-mei=Yositake
aut-affil-num=4
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Electrical Engineering

affil-num=2
en-affil=
kn-affil=Department of Electrical Engineering

affil-num=3
en-affil=
kn-affil=Department of Electrical Engineering

affil-num=4
en-affil=
kn-affil=Department of Electrical Engineering
END