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EXPERIMENT 6. MESH CURRENT EQUATIONS. CIRCUIT ANALYSIS TOOLS: MATLAB, PROTEUS. MATLAB Circuit schematic MATLAB solutions PROTEUS Circuit schematic Voltage, current probes Voltage current waveforms. MATLAB OBJECTIVES. TO USE MATLAB TOOLS FOR CIRCUIT ANALYSIS
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EXPERIMENT 6 MESH CURRENT EQUATIONS Ertuğrul Eriş
CIRCUIT ANALYSIS TOOLS: MATLAB, PROTEUS • MATLAB • Circuit schematic • MATLAB solutions • PROTEUS • Circuit schematic • Voltage, current probes • Voltage current waveforms Ertuğrul Eriş
MATLAB OBJECTIVES • TO USE MATLAB TOOLS FOR CIRCUIT ANALYSIS • ALGEBRAIC LINEAR EQUATIONS: AX=B • A:square matrix, • X:Unknown elements currents and voltages, column matric; • B:knowns Independent source values , column matric • MATLAB: X=A\B Ertuğrul Eriş
CIRCUIT ANALYSIS: MESH - CURRENT METHOD 1.STEP KVL Elements’ voltages ne-nd+1 ne 2.STEP Elements’ currents ne-nd+1 ne 3.STEP Mesh currents ne-nd+1 ne-nd+1 New variables Definition relations Unknowns Number of equations Mesh currents V-I relations Number of unknowns AX=B; X Elements currents Definition relations Independent current’s voltage is unknown but its known current gives an additional equation Elements voltages Ertuğrul Eriş
CIRCUIT EQUATIONS: MESH CURRENT RC=1000Ω, β= 100 RE=100Ω, V0= 5V R1=120Ω, Vcc=10V R2=20Ω Ertuğrul Eriş
CIRCUIT EQUATIONS: MESH CURRENT A=[1120,0,-1000,1; 0,120,-100,0; -1000,-100,1100,-1; 101,-100,-1,0]; B=[5;-5;-10;0]; >> X=A\B X = -0.0714 A -0.0717 A -0.0361 A 48.8661 V Ertuğrul Eriş
PROTEUS OBJECTIVES • Dependent source elements • Voltage probe/node-voltage • Elements currents/current probe • Substraction operation in proteus • Elements voltage • Power • Passive sign convention • Multiplication operation in proteus Ertuğrul Eriş