PE Electrical study plan

Convert balanced three-phase and ladder networks into per-unit and line/phase equivalents, computing voltage, current, and power in each representation.

Solve three-node AC networks by mesh and nodal analysis with complex impedances, then verify each result using superposition.

Reduce RLC networks to Thevenin and Norton equivalents and compute the steady-state AC response at a specified frequency.

Compute real, reactive, and apparent power and power factor for combined loads, then size the capacitor bank required to correct power factor to a target value.

Build a per-unit model of a three-bus system, selecting a base power and base voltage and converting every impedance consistently.

Compute balanced three-phase fault current at a selected bus from the per-unit impedance network and convert to amperes.

Analyze step and switching transients in RL and RC circuits, sketching time-domain voltage and current waveforms with time constants labeled.

Decompose an unbalanced set of phase quantities into symmetrical components and reconstruct the phase quantities from sequence components.

Classify each bus in a four-bus network as slack, PV, or PQ and list the known and unknown quantities before formulating the problem.

Formulate and carry out two Gauss-Seidel or Newton-Raphson iterations on a four-bus load flow, computing real and reactive power mismatch at each bus.

Compute line flows and line losses from solved bus voltages using the entries of the bus admittance matrix.

Solve single-line-to-ground and line-to-line faults through sequence networks, computing phase current magnitudes from the sequence currents.

Set up the swing equation for a single machine against an infinite bus and compute the critical clearing angle for a specified fault.

Compute synchronous reactance, voltage regulation, and efficiency of a synchronous generator from open-circuit and short-circuit test data.

Calculate slip, rotor frequency, and developed torque for an induction motor, and locate the operating point on its torque-speed curve.

Compute back EMF, armature current, and speed for a DC shunt motor at a changed load, and identify the effect of armature reaction.

Compare direct-on-line, autotransformer, and wye-delta starting by computing starting current and starting torque for each.

Determine synchronous speed, poles, and slip frequency for a given motor and explain how the rotating magnetic field is produced.

Analyze delta-wye and wye-delta transformer banks, computing line-to-phase ratios, phase shift, and per-unit impedance referred to either side.

Compute transformer voltage regulation and efficiency at a specified load and lagging power factor.

Calculate voltage drop and line losses on short and medium lines using the short-line and nominal-pi models.

Select a feeder conductor from ampacity and voltage-drop limits and compute the resulting drop at full load.

Compute per-unit series impedance and shunt admittance of a transmission line from conductor spacing and radius, and calculate surge impedance loading.

Size a shunt capacitor bank for voltage support and compute the resulting voltage rise at the bus.

Set overcurrent relay pickup and time-dial values to coordinate a main and feeder pair, then verify the coordination time interval.

Distinguish radial and looped distribution configurations and compute the impact of each on fault current and reliability.

Calculate sag and tension for a level span and relate conductor tension to tower loading.

Compute demand load, feeder ampacity, and overcurrent protection for a small commercial service using standard demand-factor methods.

Compute grounding-electrode resistance and explain how step and touch potential drive grounding design decisions.

Calculate the number and layout of luminaires needed to reach a target illuminance using the lumen method.

Compute energy cost, demand charges, and power-factor penalties from a sample utility bill and identify the largest cost driver.

Explain arc-flash hazard boundaries, equipment labeling, and the role of short-circuit study results in safety planning.

Build a one-page master formula sheet covering per-unit conversion, sequence networks, machine test formulas, and line models, then use it on all practice work.

Take two full-length timed mixed-domain mock exams under exam conditions and score each exam by domain.

Re-solve every missed mock-exam problem to the correct method and log the root cause of each miss as concept, arithmetic, or misread.

Drill 60 rapid conceptual questions in timed blocks to build pace and decision speed on qualitative items.