Der in Bild 3.1 skizzierte Gleichstromgenerator läßt sich bei vernachlässigter Ankerinduktivität durch folgende Gleichungen beschreiben:
EquationSource% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeaacaGaaiaabeqaamaabaabaaGcbaGaamyDamaaBa% aaleaacaaIXaaabeaakiabg2da9iaadkfadaWgaaWcbaGaaGymaaqa% baGccaWGPbWaaSbaaSqaaiaaigdaaeqaaOGaey4kaSYaaSaaaeaaca% WGKbGaeqiYdKhabaGaamizaiaadshaaaaaaa!4211!\[{u_1} = {R_1}{i_1} + \frac{{d\psi }}{{dt}}\]$$
((1))
EquationSource% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyDamaaBa% aaleaacaaIYaaabeaakiabg2da9iaadwgacqGHsislcaWGsbWaaSba% aSqaaiaaikdaaeqaaOGaamyAamaaBaaaleaacaaIYaaabeaaaaa!3E5A!\[{u_2} = e - {R_2}{i_2}\] $$
((2))
EquationSource% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyzaiabg2% da9iaadogacqaHjpWDcqaHipqEaaa!3C65!\[e = c\omega \psi \] $$
((3))
EquationSource% MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX!% MathType!MTEF!2!1!+-% feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqiYdKNaey% ypa0JaeqiYdKNaaiikaiaadMgadaWgaaWcbaGaaGymaaqabaGccaGG% Paaaaa!3DCC!\[\psi = \psi ({i_1})\] $$
((4))
Ψ(i1) ist die eindeutig angenommene Magnetisierungskennlinie des Erregerkreises.