I'm using the Branch Current Method to determine the currents. Firstly I'm choosing the directions of the currents and the way I'm going to sum the voltages with the KVL: Then I follow the algorithm from my textbook(it's not in English so probably it's worthless to mention it) 1. Let the number of nodes be n, create n-1 equations from KCL. Here are the equations I made: $$I_2 + I_5 = I_1$$ $$I_2 + I_6 = I_3$$ $$I_4 + I_3 = I_1$$ 2. Let m be the number of branches in the circuit. Create m-n+1 equations from KVL, here are the equations I made: $$I_1R_1+I_5R_5+I_4R_4=V_1$$ $$I_6R_6+I_3R_3-I_4R_4=V_2$$ $$I_2R_2-I_5R_5-I_6R_6=V_2$$ 3. Solve the system. The whole system looks like this: $$I_2 + I_5 = I_1$$ $$I_2 + I_6 = I_3$$ $$I_4 + I_3 = I_1$$ $$I_1R_1+I_5R_5+I_4R_4=V_1$$ $$I_6R_6+I_3R_3-I_4R_4=V_2$$ $$I_2R_2-I_5R_5-I_6R_6=V_2$$
When I replace the variables with value, I get following system. NOTE i'm replacing I's with X's because Wolframalpha thinks that I'm working with complex numbers or something. $$x2+x5=x1$$ $$x2+x5=x3$$ $$x4+x3=x1$$ $$60*x1+116*x5+110*x4=82$$ $$94*x6+36*x3-110*x4 =56$$ $$78*x2-94*x6-116*x5=56$$
However when I plug this into Wolframalpha, I get results, which don't match with the ones I get from the simulation in PSpice.
x1 = 7225/6216, x2 = 821/777, x3 = 7225/6216, x4 = 0, x5 = 219/2072, x6 = 7333/48692
I'm failing to find my mistake. Any help is appreciated