Optimization of PID Governor Coefficient for Turbocharged Diesel Engine
The objective of this study is to find optimum governor coefficient for which fluctuation of engine speed is minimum, for given value of engine, turbo-charger, inlet and exhaust manifold characteristics. Current study uses the Wishnegradski Stability Diagram as suggested by V. I. Krutov [1], which graphically represents the dynamic response of governor based on the engine differential equation which is of the third order. For the load type of L = B cos (wt): The objective function is designed to minimize the integral squared error over a time period T, which is taken as 5seconds. The constraints are formed using Wishnegradski Stability Curves which are mathematically represented as x > 0 and xy – 1 > 0 y > 0, where x, y are non-dimensional parameters depending on engine characteristics and Ne is the error function. From the experimental data obtained by test on a marine turbo-charged, 6 cylinder engine model KTA-1150C-600 of the Kirloskar make, the optimized values of Kp, Ki and Kd were obtained as 798.94, 41.50 and 1137.4 respectively and corresponding objective function is 2.2202e-07 and amplitude of speed fluctuation is 2.6642e-04 rpm.