Draw the power diagram of the star Delta starter two directions of control

Mathematics

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Step-by-step solution

6 steps
  1. Label the three-phase supply and motor terminals.

    Three-phase lines: L1L_1, L2L_2, L3L_3.

    Motor windings: U1−U2U_1-U_2, V1−V2V_1-V_2, W1−W2W_1-W_2.

  2. Forward line contactor (KM1, normally open 3-pole).

    L1→U1,L2→V1,L3→W1.\begin{align*} L_1 &\to U_1,\\ L_2 &\to V_1,\\ L_3 &\to W_1. \end{align*}
  3. Reverse line contactor (KM4, normally open 3-pole).

    L1→W1,L2→V1,L3→U1.\begin{align*} L_1 &\to W_1,\\ L_2 &\to V_1,\\ L_3 &\to U_1. \end{align*}
  4. Star contactor (KM3, normally open 3-pole).

    U2↔V2↔W2(all shorted).U_2 \leftrightarrow V_2 \leftrightarrow W_2 \quad (\text{all shorted}).
  5. Delta contactor (KM2, normally open 3-pole).

    U2→V1,V2→W1,W2→U1.\begin{align*} U_2 &\to V_1,\\ V_2 &\to W_1,\\ W_2 &\to U_1. \end{align*}
  6. Operation sequences.

    Forward start: KM1 + KM3.

    Forward run: KM1 + KM2 (KM3 off).

    Reverse start: KM4 + KM3.

    Reverse run: KM4 + KM2 (KM3 off).

    Interlocks (mechanical/electrical): KM1 opposes KM4; KM2 opposes KM3; overload relay in series with lines.

    Power diagram as defined by contactor connections above for bidirectional star-delta motor starter

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