A Novel Security Methodology for Smart Grids: A Case Study of Microcomputer-Based Encryption for PMU Devices

Algorithm 1

Random number generation algorithm pseudo-code

Input: parameters and initial condition of chaotic systems
Output: random numbers tested statistically
(1)	Accepting system parameters and initial condition of the 5D Lorenz hyperchaotic system
(2)	Determination of the value of
(3)	Sampling with determination value for RK4
(4)	WHILE (maximum 1 MBit data) DO
(5)	Solving the 5D hyperchaotic system using RK4 algorithm
(6)	Obtaining time series as float numbers (x, y, z, u, and )
(7)	Convert float numbers to 32-bit least binary numbers
(8)	Select LSB-8-bit least binary numbers from RNG from y and u phases
(9)	Select LSB-16-bit least binary numbers from RNG from z and phases
(10)	END WHILE
(11)	Apply NIST-800-22 tests for each minimum 1 MBit data
(12)	IF (test results==pass) THEN
(13)	Successful results
(14)	Ready tested random numbers for RNG applications
(15)	ELSE
(16)	Go to Step 4
(17)	END IF
(18)	EXIT