Lab mannaul

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Manual TOM

Governor Effort
CALCULATIONS

1. Controlling force , F_c1 = m.ꞷ₁².r₁_Newton. where, m = total mass of balls - 0.5 Kg.

2. Sensitiveness :- It is the ratio of difference

between the maximum and minimum . equilibrium speed to mean equilibrium

speed.

Practically, from no load to full load operation of the engine, a definite

^,^m^{ovement of fuel}^controlelement (_{throttle or}_fuel_{pump) is required.}

_{If x1 is sleeve position at no load (upper position), and x2 is sleeve position at full load,}

_{(lower position) then speeds corresponding to these positions, N1 & N2 are maximum}

_{and minimum equilibrium speeds. Thus , sensitiveness of governor can be determined}

_{for any two positions of sleeve, x1 and x2.}

_{Sensitiveness = 2 {(N1 – N2)/ ( N1 + N2 )}.}

_{This is sensitiveness between sleeve positions x1 and x2.}
_3._{Governor Effort}_{:- It is the mean force required on the sleeve to raise or lower it for given}

_{charge in the speed. For convenience, in comparing different types of governors, it is usual}

_{to define the effort which will be applied for 1% change of speed.}

_{If, c = percentage increment of speed (expressed as fraction).}

_{Governor effort, Q = (W + w).c Newton.}
₄_._{Governor power}_{:- It is the work done at the sleeve for a given change of speed.}

_{Governor power, P = Q . x1 N-m}

2 ) Proell Governor :-

Data

Length of links, 1 = 0.130 m.
height of’ vertical ball arm, a = 0.070 m
Ang1c between vertical ball arm and lower link – 150⁰.

Mass of sleeve and balls, initial radius of rotation and distance between top

and bottom link are same as Porter governor.

CALCULATIONS :-

Radius of rotation at speed N_1,

r₁ = 0.05 + s₁ + d₁mtr.

Now, finding C₁ similar to Porter governor, at speed N₁.

Applying pythagores theorem
S₁ =

Ѳ = tan^-1 (C₁ / S₁ )

As total included angle of link EFH is 150⁰

Ѳ₁+ α + 90 = 150

α₁ = (60 – P₁)²

d₁ = a sin α₁.

= 0.07 sin α₁

∴ r_{1 =}(0.05 + S₁+ d₁).

Similar to Porter governor

1. Controlling force, Fc = m. ꞷ₁². r₁ Newton. ----------- (m = ______kg)

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