Problem 4: The figure below shows the block diagram of a possible cascade control scheme for an HEV driven by a DC motor. Let the speed controller GSC?(s)=100+s40?, the torque controller and power amp KA?GTC?(s)=10+s6?, the current sensor sensitivity KCS?=0.5, the speed sensor sensitivity KSS?=00433. Also, following the development in previous cha solutionspile.com

Question

Problem 4: The figure below shows the block diagram of a possible cascade control scheme for an HEV driven by a DC motor. Let the speed controller

G_{SC} (s) = 100 + \frac{40}{s}

, the torque controller and power amp

K_{A} G_{TC} (s) = 10 + \frac{6}{s}

, the current sensor sensitivity

K_{CS} = 0.5

, the speed sensor sensitivity

K_{SS} = 00433

. Also, following the development in previous chapters

\frac{1}{R _{a}} = 1; ?_{tot} K_{t} = 1.8; k_{b} = 2; D = k_{f} = 0.1; \frac{1}{J _{tot}} = \frac{1}{7.226}; \frac{r}{i _{tot}} =

0.0615 ; and

? C_{w} A_{v 0} \frac{r}{i _{tot}} = 0.6154

. Substitute these values in the block diagram, and find the transfer function,

T (s) = V (s) / R_{v} (s)

, using block diagram reduction rules. Start by moving the last

\frac{r}{i _{tot}}

block to the right past the pickoff point.

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