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'''STEP 1''' | '''STEP 1''' | ||
| + | |||
| + | Download the residual function constructed in lecture and extend it to the full network. The first line of your function should be: | ||
| + | [r,J] = dNetwork(x,s,z,p) | ||
| + | |||
| + | The inputs are defined as follows: | ||
| + | %x: network voltages; x = [V2R V2I V3R V3I]; | ||
| + | %s: network injections; s = [-4 3]; | ||
| + | %z: dynamic parameters; z = [1 1]; | ||
| + | %p: static parameters; p = [X1 X2 Vm Vp nsT Qm Qp nsC]; | ||
| + | |||
| + | The static parameters have the following values: | ||
| + | X1 = 0.03; | ||
| + | X2 = .05; | ||
| + | Vm = .98; | ||
| + | Vp = 1.02; | ||
| + | Qm = -.25; | ||
| + | Qp = .25; | ||
| + | nsT = 0.025; | ||
| + | nsC = .2; | ||
| + | |||
| + | The outputs are defined as follows: | ||
| + | %r: residual; | ||
| + | %J: Jacobian of the residual; J = dr/dx | ||
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'''STEP 2''' | '''STEP 2''' | ||
| + | |||
| + | Compute the voltages V2 and V3 using the following command: | ||
| + | Vn = fsolve(@(x)dNetwork(x,s,z,p),[V2R0 V2I0 V3R0 V3I0],optimoptions('fsolve','Jacobian','on','tolx',1e-12,'tolfun',1e-6,'display','off')); | ||
| + | |||
| + | Use the flat start for the initial voltage values, i.e., V2R0 = 1; V3R0 = 1; V2I0 = 0; V3I0 = 0; | ||
Revision as of 12:05, 12 November 2015
The purpose of this exercise is to
- Construct a network residual model in MATLAB
- Solve network algebraic equations using MATLAB function fsolve
- Construct an DAE model of a network load in MATLAB
- Compute the time response using the implicit solver ode15i
STEP 1
Download the residual function constructed in lecture and extend it to the full network. The first line of your function should be: [r,J] = dNetwork(x,s,z,p)
The inputs are defined as follows: %x: network voltages; x = [V2R V2I V3R V3I]; %s: network injections; s = [-4 3]; %z: dynamic parameters; z = [1 1]; %p: static parameters; p = [X1 X2 Vm Vp nsT Qm Qp nsC];
The static parameters have the following values: X1 = 0.03; X2 = .05; Vm = .98; Vp = 1.02; Qm = -.25; Qp = .25; nsT = 0.025; nsC = .2;
The outputs are defined as follows: %r: residual; %J: Jacobian of the residual; J = dr/dx
STEP 2
Compute the voltages V2 and V3 using the following command: Vn = fsolve(@(x)dNetwork(x,s,z,p),[V2R0 V2I0 V3R0 V3I0],optimoptions('fsolve','Jacobian','on','tolx',1e-12,'tolfun',1e-6,'display','off'));
Use the flat start for the initial voltage values, i.e., V2R0 = 1; V3R0 = 1; V2I0 = 0; V3I0 = 0;
STEP 3
STEP 4