Optimum Filters for Second- and Third-Order Phase-Locked Loops by an Error-Function Criterion

1965 ◽  
Vol SET-11 (2) ◽  
pp. 54-62 ◽  
Author(s):  
S. C. Gupta ◽  
R. J. Solem
Keyword(s):  
Error Function ◽  
Phase Locked Loops ◽  
Third Order

scholarly journals Optimization of PID Governor Coefficient for Turbocharged Diesel Engine

2020 ◽  
Vol 8 (6) ◽  
pp. 1073-1076
Keyword(s):  
Objective Function ◽  
Error Function ◽  
Stability Diagram ◽  
Third Order ◽  
Turbocharged Diesel Engine ◽  
Engine Model ◽  
Time Period ◽  
Speed Fluctuation ◽  
Turbo Charger ◽  
Dimensional Parameters

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.

Chaos from third-order phase-locked loops with a slowly varying parameter

1990 ◽  
Vol 37 (9) ◽  
pp. 1104-1115 ◽  
Author(s):  
Y.-H. Chu ◽  
J.-H. Chou ◽  
S. Chang
Keyword(s):  
Phase Locked Loops ◽  
Third Order
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