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PROGRAM ROZWOJOWY

POLITECHNIKI WARSZAWSKIEJ

The electrical input energy is written as:

W, =Jeidt=Jidt^p = jNid4> = jFd0,    (1.1)

where e is the induced emf and F is the mmf. Input electrical energy, W_e is equal to the sum of the energy stored in the coil Wf and energy converted into mechanical work W_m:

W_e=W_f+W_m.    (1.2)

When no mechanical work is done (start from the position xl), the stored field energy is equal to the input electrical energy given by equation (1.1). This corresponds to area OBEO in Fig. 1.4. The complement of the field energy, termed coenergy is given by area OBAO, and mathematically expressed as j*$dF . Similarly for the position x2 of the rotor the field energy corresponds to area OCDO and coenergy is given by area OCAO. For incremental changes equation (1.2) is written as:

5W_e=aWf+dW_m.    (1.3)

For a constant excitation of F i given by the operating point A in Fig. 1.4, the various energies are derived as:

V>2

(1.4)

dW_c = jF,d<p = F,(ę>₂ -<p_l) = area (BCDEB),

<P1

dW₍ = SW_flx__x2 - 3W_flx__xl = area (OCDO) - area (OBEO).    (1.5)

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