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hansherman
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The following equations are found in the following reference (Page 119):
http://www.eeh.ee.ethz.ch/fileadmin/user_upload/eeh/studies/courses/power_system_dynamics_and_control/Documents/DynamicsPartI_lecture_notes_2012.pdf
By definition, the inertia constant for a synchronous machine is defined as
[tex] H = (1/2 J \omega_0^2) / S [/tex]
where
[tex] a) H= \text{constant of inertia } (s) [/tex]
[tex] b) S = \text{rated power of synchronous machine } (MW) [/tex]
[tex] c) \omega_0 = \text{nominal angular frequency } (rad/s) [/tex]
[tex] d) J = \text{moment of inertia for rotor } (kg m^2) [/tex]
I.e.
[tex] J = 2HS/\omega_0^2 [/tex]
can be used to find the moment of inertia. Based on the units of a), b) and c) the unit of J is
[tex] s MW/(rad^2/s^2) [/tex]
However, i cannot see that this is the same as kg/m^2, as the result is supposed to yield from d). Can anyone help me?
http://www.eeh.ee.ethz.ch/fileadmin/user_upload/eeh/studies/courses/power_system_dynamics_and_control/Documents/DynamicsPartI_lecture_notes_2012.pdf
By definition, the inertia constant for a synchronous machine is defined as
[tex] H = (1/2 J \omega_0^2) / S [/tex]
where
[tex] a) H= \text{constant of inertia } (s) [/tex]
[tex] b) S = \text{rated power of synchronous machine } (MW) [/tex]
[tex] c) \omega_0 = \text{nominal angular frequency } (rad/s) [/tex]
[tex] d) J = \text{moment of inertia for rotor } (kg m^2) [/tex]
I.e.
[tex] J = 2HS/\omega_0^2 [/tex]
can be used to find the moment of inertia. Based on the units of a), b) and c) the unit of J is
[tex] s MW/(rad^2/s^2) [/tex]
However, i cannot see that this is the same as kg/m^2, as the result is supposed to yield from d). Can anyone help me?