MNASolver.cpp

/* Copyright 2017-2021 Institute for Automation of Complex Power Systems,
 *                     EONERC, RWTH Aachen University
 *
 * This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at https://mozilla.org/MPL/2.0/.
 *********************************************************************************/
 
#include <algorithm>
#include <dpsim/MNASolver.h>
#include <dpsim/SequentialScheduler.h>
#include <functional>
#include <memory>
#include <stdexcept>
#include <type_traits>
 
using namespace DPsim;
using namespace CPS;
 
namespace DPsim {
 
template <typename VarType>
MnaSolver<VarType>::MnaSolver(String name, CPS::Domain domain,
                              CPS::Logger::Level logLevel)
    : Solver(name, logLevel), mDomain(domain) {
 
  // Raw source and solution vector logging
  mLeftVectorLog = std::make_shared<DataLogger>(
      name + "_LeftVector", logLevel == CPS::Logger::Level::trace);
  mRightVectorLog = std::make_shared<DataLogger>(
      name + "_RightVector", logLevel == CPS::Logger::Level::trace);
}
 
template <typename VarType>
void MnaSolver<VarType>::setSystem(const CPS::SystemTopology &system) {
  mSystem = system;
}
 
template <typename VarType>
void MnaSolver<VarType>::doStateSpaceExtraction(Bool value) {
  mStateSpaceExtraction = value;
}
 
template <typename VarType>
const MNAStateSpaceExtractor &
MnaSolver<VarType>::getStateSpaceExtractor() const {
  if (!mStateSpaceExtractor)
    throw std::logic_error(
        "MNA state-space extractor has not been initialized.");
 
  return *mStateSpaceExtractor;
}
 
template <typename VarType> void MnaSolver<VarType>::initialize() {
  // TODO: check that every system matrix has the same dimensions
  SPDLOG_LOGGER_INFO(mSLog, "---- Start initialization ----");
  mLeftVectorLog->start();
  mRightVectorLog->start();
 
  // Register attribute for solution vector
  // Best case we have some kind of sub-attributes for attribute vectors / tensor attributes...
  if (mFrequencyParallel) {
    SPDLOG_LOGGER_INFO(mSLog, "Computing network harmonics in parallel.");
    for (Int freq = 0; freq < mSystem.mFrequencies.size(); ++freq) {
      mLeftSideVectorHarm.push_back(AttributeStatic<Matrix>::make());
    }
  } else {
    mLeftSideVector = AttributeStatic<Matrix>::make();
  }
 
  SPDLOG_LOGGER_INFO(mSLog, "-- Process topology");
  for (auto comp : mSystem.mComponents)
    SPDLOG_LOGGER_INFO(mSLog, "Added {:s} '{:s}' to simulation.", comp->type(),
                       comp->name());
 
  // Otherwise LU decomposition will fail
  if (mSystem.mComponents.size() == 0)
    throw SolverException();
 
  // We need to differentiate between power and signal components and
  // ground nodes should be ignored.
  identifyTopologyObjects();
  // Ensure all subcomponents (and their virtual nodes) are registered before
  // collectVirtualNodes() sizes the system matrices. Recurses into nested
  // sub-components so e.g. SST -> Load -> {R, L, C} is fully created.
  CPS::MNAInterface::List allMNAComps;
  allMNAComps.insert(allMNAComps.end(), mMNAComponents.begin(),
                     mMNAComponents.end());
  allMNAComps.insert(allMNAComps.end(), mMNAIntfVariableComps.begin(),
                     mMNAIntfVariableComps.end());
  allMNAComps.insert(allMNAComps.end(), mMNAIntfSwitches.begin(),
                     mMNAIntfSwitches.end());
 
  // Some composites (e.g. AvVoltageSourceInverterDQ) eagerly create and
  // register their subcomponents in their own constructor, before those
  // subcomponents are connected (connect() only happens later, in
  // initializeParentFromNodesAndTerminals()). Calling createSubComponents()
  // on such a not-yet-connected subcomponent crashes, since it relies on
  // its own terminals being wired up. Only subcomponents that are newly
  // registered as a direct result of THIS createSubComponents() call (the
  // lazy create+connect+register pattern, e.g. SST -> Load -> {R, L, C})
  // are guaranteed to already be connected, so only recurse into those.
  std::function<void(CPS::MNAInterface::Ptr)> createSubComponentsRec =
      [&](CPS::MNAInterface::Ptr comp) {
        auto pComp =
            std::dynamic_pointer_cast<CPS::SimPowerComp<VarType>>(comp);
        typename CPS::SimPowerComp<VarType>::List subCompsBefore =
            pComp ? pComp->subComponents()
                  : typename CPS::SimPowerComp<VarType>::List();
 
        comp->createSubComponents();
 
        if (pComp) {
          for (auto subComp : pComp->subComponents()) {
            bool isNew = std::find(subCompsBefore.begin(), subCompsBefore.end(),
                                   subComp) == subCompsBefore.end();
            if (!isNew)
              continue;
            if (auto subMna =
                    std::dynamic_pointer_cast<CPS::MNAInterface>(subComp))
              createSubComponentsRec(subMna);
          }
        }
      };
  for (auto comp : allMNAComps)
    createSubComponentsRec(comp);
  // These steps complete the network information.
  collectVirtualNodes();
  assignMatrixNodeIndices();
 
  SPDLOG_LOGGER_INFO(mSLog, "-- Create empty MNA system matrices and vectors");
  createEmptyVectors();
  createEmptySystemMatrix();
 
  // Initialize components from powerflow solution and
  // calculate MNA specific initialization values.
  initializeComponents();
 
  if (mSteadyStateInit) {
    mIsInInitialization = true;
    steadyStateInitialization();
  }
  mIsInInitialization = false;
 
  // Some components feature a different behaviour for simulation and initialization
  for (auto comp : mSystem.mComponents) {
    auto powerComp = std::dynamic_pointer_cast<CPS::TopologicalPowerComp>(comp);
    if (powerComp)
      powerComp->setBehaviour(TopologicalPowerComp::Behaviour::MNASimulation);
 
    auto sigComp = std::dynamic_pointer_cast<CPS::SimSignalComp>(comp);
    if (sigComp)
      sigComp->setBehaviour(SimSignalComp::Behaviour::Simulation);
  }
 
  // Initialize system matrices and source vector.
  initializeSystem();
 
  if (mStateSpaceExtraction)
    initializeStateSpaceExtractor();
 
  SPDLOG_LOGGER_INFO(mSLog, "--- Initialization finished ---");
  SPDLOG_LOGGER_INFO(mSLog, "--- Initial system matrices and vectors ---");
  logSystemMatrices();
 
  mSLog->flush();
}
 
template <> void MnaSolver<Real>::initializeComponents() {
  SPDLOG_LOGGER_INFO(mSLog, "-- Initialize components from power flow");
 
  CPS::MNAInterface::List allMNAComps;
  allMNAComps.insert(allMNAComps.end(), mMNAComponents.begin(),
                     mMNAComponents.end());
  allMNAComps.insert(allMNAComps.end(), mMNAIntfVariableComps.begin(),
                     mMNAIntfVariableComps.end());
 
  for (auto comp : allMNAComps) {
    auto pComp = std::dynamic_pointer_cast<SimPowerComp<Real>>(comp);
    if (!pComp)
      continue;
    pComp->checkForUnconnectedTerminals();
    if (mInitFromNodesAndTerminals)
      pComp->initializeFromNodesAndTerminals(mSystem.mSystemFrequency);
  }
 
  // Initialize signal components.
  for (auto comp : mSimSignalComps)
    comp->initialize(mSystem.mSystemOmega, mTimeStep);
 
  // Initialize MNA specific parts of components.
  for (auto comp : allMNAComps) {
    comp->mnaInitialize(mSystem.mSystemOmega, mTimeStep, mLeftSideVector);
    const Matrix &stamp = comp->getRightVector()->get();
    if (stamp.size() != 0) {
      mRightVectorStamps.push_back(&stamp);
    }
  }
 
  for (auto comp : mMNAIntfSwitches)
    comp->mnaInitialize(mSystem.mSystemOmega, mTimeStep, mLeftSideVector);
 
  // Initialize nodes
  for (UInt nodeIdx = 0; nodeIdx < mNodes.size(); ++nodeIdx)
    mNodes[nodeIdx]->initialize();
}
 
template <> void MnaSolver<Complex>::initializeComponents() {
  SPDLOG_LOGGER_INFO(mSLog, "-- Initialize components from power flow");
 
  CPS::MNAInterface::List allMNAComps;
  allMNAComps.insert(allMNAComps.end(), mMNAComponents.begin(),
                     mMNAComponents.end());
  allMNAComps.insert(allMNAComps.end(), mMNAIntfVariableComps.begin(),
                     mMNAIntfVariableComps.end());
 
  // Initialize power components with frequencies and from powerflow results
  for (auto comp : allMNAComps) {
    auto pComp = std::dynamic_pointer_cast<SimPowerComp<Complex>>(comp);
    if (!pComp)
      continue;
    pComp->checkForUnconnectedTerminals();
    if (mInitFromNodesAndTerminals)
      pComp->initializeFromNodesAndTerminals(mSystem.mSystemFrequency);
  }
 
  // Initialize signal components.
  for (auto comp : mSimSignalComps)
    comp->initialize(mSystem.mSystemOmega, mTimeStep);
 
  SPDLOG_LOGGER_INFO(mSLog, "-- Initialize MNA properties of components");
  if (mFrequencyParallel) {
    // Initialize MNA specific parts of components.
    for (auto comp : mMNAComponents) {
      // Initialize MNA specific parts of components.
      comp->mnaInitializeHarm(mSystem.mSystemOmega, mTimeStep,
                              mLeftSideVectorHarm);
      const Matrix &stamp = comp->getRightVector()->get();
      if (stamp.size() != 0)
        mRightVectorStamps.push_back(&stamp);
    }
    // Initialize nodes
    for (UInt nodeIdx = 0; nodeIdx < mNodes.size(); ++nodeIdx) {
      mNodes[nodeIdx]->mnaInitializeHarm(mLeftSideVectorHarm);
    }
  } else {
    // Initialize MNA specific parts of components.
    for (auto comp : allMNAComps) {
      comp->mnaInitialize(mSystem.mSystemOmega, mTimeStep, mLeftSideVector);
      const Matrix &stamp = comp->getRightVector()->get();
      if (stamp.size() != 0) {
        mRightVectorStamps.push_back(&stamp);
      }
    }
 
    for (auto comp : mMNAIntfSwitches)
      comp->mnaInitialize(mSystem.mSystemOmega, mTimeStep, mLeftSideVector);
 
    // Initialize nodes
    for (UInt nodeIdx = 0; nodeIdx < mNodes.size(); ++nodeIdx)
      mNodes[nodeIdx]->initialize();
  }
}
 
template <typename VarType> void MnaSolver<VarType>::initializeSystem() {
  SPDLOG_LOGGER_INFO(mSLog,
                     "-- Initialize MNA system matrices and source vector");
  mRightSideVector.setZero();
 
  // just a sanity check in case we change the static
  // initialization of the switch number in the future
  if (mSwitches.size() > sizeof(std::size_t) * 8) {
    throw SystemError("Too many Switches.");
  }
 
  if (mFrequencyParallel)
    initializeSystemWithParallelFrequencies();
  else if (mSystemMatrixRecomputation)
    initializeSystemWithVariableMatrix();
  else
    initializeSystemWithPrecomputedMatrices();
}
 
template <typename VarType>
void MnaSolver<VarType>::initializeSystemWithParallelFrequencies() {
  // iterate over all possible switch state combinations and frequencies
  for (std::size_t sw = 0; sw < (1ULL << mSwitches.size()); ++sw) {
    for (Int freq = 0; freq < mSystem.mFrequencies.size(); ++freq) {
      switchedMatrixEmpty(sw, freq);
      switchedMatrixStamp(sw, freq, mMNAComponents, mSwitches);
    }
  }
 
  if (mSwitches.size() > 0)
    updateSwitchStatus();
 
  // Initialize source vector
  for (Int freq = 0; freq < mSystem.mFrequencies.size(); ++freq) {
    for (auto comp : mMNAComponents)
      comp->mnaApplyRightSideVectorStampHarm(mRightSideVectorHarm[freq], freq);
  }
}
 
template <typename VarType>
void MnaSolver<VarType>::initializeSystemWithPrecomputedMatrices() {
  // iterate over all possible switch state combinations
  for (std::size_t i = 0; i < (1ULL << mSwitches.size()); i++) {
    switchedMatrixEmpty(i);
  }
 
  if (mSwitches.size() < 1) {
    switchedMatrixStamp(0, mMNAComponents);
  } else {
    // Generate switching state dependent system matrices
    for (std::size_t i = 0; i < (1ULL << mSwitches.size()); i++) {
      switchedMatrixStamp(i, mMNAComponents);
    }
    updateSwitchStatus();
  }
 
  // Initialize source vector for debugging
  // CAUTION: this does not always deliver proper source vector initialization
  // as not full pre-step is executed (not involving necessary electrical or signal
  // subcomp updates before right vector calculation)
  for (auto comp : mMNAComponents) {
    comp->mnaApplyRightSideVectorStamp(mRightSideVector);
    auto idObj = std::dynamic_pointer_cast<IdentifiedObject>(comp);
    SPDLOG_LOGGER_DEBUG(mSLog, "Stamping {:s} {:s} into source vector",
                        idObj->type(), idObj->name());
    if (mSLog->should_log(spdlog::level::trace))
      mSLog->trace("\n{:s}", Logger::matrixToString(mRightSideVector));
  }
}
 
template <typename VarType>
void MnaSolver<VarType>::initializeSystemWithVariableMatrix() {
 
  // Collect index pairs of varying matrix entries from components
  for (auto varElem : mVariableComps)
    for (auto varEntry : varElem->mVariableSystemMatrixEntries)
      mListVariableSystemMatrixEntries.push_back(varEntry);
  SPDLOG_LOGGER_INFO(mSLog, "List of index pairs of varying matrix entries: ");
  for (auto indexPair : mListVariableSystemMatrixEntries)
    SPDLOG_LOGGER_INFO(mSLog, "({}, {})", indexPair.first, indexPair.second);
 
  stampVariableSystemMatrix();
 
  // Initialize source vector for debugging
  // CAUTION: this does not always deliver proper source vector initialization
  // as not full pre-step is executed (not involving necessary electrical or signal
  // subcomp updates before right vector calculation)
  for (auto comp : mMNAComponents) {
    comp->mnaApplyRightSideVectorStamp(mRightSideVector);
    auto idObj = std::dynamic_pointer_cast<IdentifiedObject>(comp);
    SPDLOG_LOGGER_DEBUG(mSLog, "Stamping {:s} {:s} into source vector",
                        idObj->type(), idObj->name());
    if (mSLog->should_log(spdlog::level::trace))
      mSLog->trace("\n{:s}", Logger::matrixToString(mRightSideVector));
  }
}
 
template <typename VarType>
void MnaSolver<VarType>::initializeStateSpaceExtractor() {
  if (mDomain != CPS::Domain::EMT && mDomain != CPS::Domain::DP) {
    throw std::logic_error(
        "MNA state-space extraction supports EMT and DP domains only.");
  }
 
  if (mFrequencyParallel) {
    throw std::logic_error(
        "MNA state-space extraction does not support frequency-parallel "
        "MNA systems.");
  }
 
  CPS::MNAInterface::List stateSpaceComponents;
  stateSpaceComponents.insert(stateSpaceComponents.end(),
                              mMNAComponents.begin(), mMNAComponents.end());
  stateSpaceComponents.insert(stateSpaceComponents.end(),
                              mMNAIntfVariableComps.begin(),
                              mMNAIntfVariableComps.end());
 
  const UInt mnaVectorSize = static_cast<UInt>((**mLeftSideVector).rows());
 
  mStateSpaceExtractor = std::make_shared<MNAStateSpaceExtractor>();
  mStateSpaceExtractor->initialize(stateSpaceComponents, mnaVectorSize,
                                   mTimeStep);
 
  SPDLOG_LOGGER_INFO(
      mSLog,
      "Initialized MNA state-space extractor with {:d} extraction states.",
      mStateSpaceExtractor->getStateCount());
}
 
template <typename VarType>
Bool MnaSolver<VarType>::hasVariableComponentChanged() {
  for (auto varElem : mVariableComps) {
    if (varElem->hasParameterChanged()) {
      auto idObj = std::dynamic_pointer_cast<IdentifiedObject>(varElem);
      SPDLOG_LOGGER_DEBUG(
          mSLog, "Component ({:s} {:s}) value changed -> Update System Matrix",
          idObj->type(), idObj->name());
      return true;
    }
  }
  return false;
}
 
template <typename VarType> void MnaSolver<VarType>::updateSwitchStatus() {
  for (UInt i = 0; i < mSwitches.size(); ++i) {
    mCurrentSwitchStatus.set(i, mSwitches[i]->mnaIsClosed());
  }
}
 
template <typename VarType> void MnaSolver<VarType>::identifyTopologyObjects() {
  for (auto baseNode : mSystem.mNodes) {
    // Add nodes to the list and ignore ground nodes.
    if (!baseNode->isGround()) {
      auto node = std::dynamic_pointer_cast<CPS::SimNode<VarType>>(baseNode);
      mNodes.push_back(node);
      SPDLOG_LOGGER_INFO(mSLog, "Added node {:s}", node->name());
    }
  }
 
  for (auto comp : mSystem.mComponents) {
 
    auto genComp = std::dynamic_pointer_cast<CPS::MNASyncGenInterface>(comp);
    if (genComp) {
      mSyncGen.push_back(genComp);
    }
 
    auto swComp = std::dynamic_pointer_cast<CPS::MNASwitchInterface>(comp);
    if (swComp) {
      mSwitches.push_back(swComp);
      auto mnaComp = std::dynamic_pointer_cast<CPS::MNAInterface>(swComp);
      if (mnaComp)
        mMNAIntfSwitches.push_back(mnaComp);
    }
 
    auto varComp =
        std::dynamic_pointer_cast<CPS::MNAVariableCompInterface>(comp);
    if (varComp) {
      mVariableComps.push_back(varComp);
      auto mnaComp = std::dynamic_pointer_cast<CPS::MNAInterface>(varComp);
      if (mnaComp)
        mMNAIntfVariableComps.push_back(mnaComp);
    }
 
    if (!(swComp || varComp)) {
      auto mnaComp = std::dynamic_pointer_cast<CPS::MNAInterface>(comp);
      if (mnaComp)
        mMNAComponents.push_back(mnaComp);
 
      auto sigComp = std::dynamic_pointer_cast<CPS::SimSignalComp>(comp);
      if (sigComp)
        mSimSignalComps.push_back(sigComp);
    }
  }
}
 
template <typename VarType> void MnaSolver<VarType>::assignMatrixNodeIndices() {
  UInt matrixNodeIndexIdx = 0;
  for (UInt idx = 0; idx < mNodes.size(); ++idx) {
    mNodes[idx]->setMatrixNodeIndex(0, matrixNodeIndexIdx);
    SPDLOG_LOGGER_INFO(mSLog, "Assigned index {} to phase A of node {}",
                       matrixNodeIndexIdx, idx);
    ++matrixNodeIndexIdx;
    if (mNodes[idx]->phaseType() == CPS::PhaseType::ABC) {
      mNodes[idx]->setMatrixNodeIndex(1, matrixNodeIndexIdx);
      SPDLOG_LOGGER_INFO(mSLog, "Assigned index {} to phase B of node {}",
                         matrixNodeIndexIdx, idx);
      ++matrixNodeIndexIdx;
      mNodes[idx]->setMatrixNodeIndex(2, matrixNodeIndexIdx);
      SPDLOG_LOGGER_INFO(mSLog, "Assigned index {} to phase C of node {}",
                         matrixNodeIndexIdx, idx);
      ++matrixNodeIndexIdx;
    }
    // This should be true when the final network node is reached, not considering virtual nodes
    if (idx == mNumNetNodes - 1)
      mNumNetMatrixNodeIndices = matrixNodeIndexIdx;
  }
  // Total number of network nodes including virtual nodes is matrixNodeIndexIdx + 1, which is why the variable is incremented after assignment
  mNumMatrixNodeIndices = matrixNodeIndexIdx;
  mNumVirtualMatrixNodeIndices =
      mNumMatrixNodeIndices - mNumNetMatrixNodeIndices;
  mNumHarmMatrixNodeIndices =
      static_cast<UInt>(mSystem.mFrequencies.size() - 1) *
      mNumMatrixNodeIndices;
  mNumTotalMatrixNodeIndices =
      static_cast<UInt>(mSystem.mFrequencies.size()) * mNumMatrixNodeIndices;
 
  SPDLOG_LOGGER_INFO(mSLog, "Assigned simulation nodes to topology nodes:");
  SPDLOG_LOGGER_INFO(mSLog, "Number of network simulation nodes: {:d}",
                     mNumNetMatrixNodeIndices);
  SPDLOG_LOGGER_INFO(mSLog, "Number of simulation nodes: {:d}",
                     mNumMatrixNodeIndices);
  SPDLOG_LOGGER_INFO(mSLog, "Number of harmonic simulation nodes: {:d}",
                     mNumHarmMatrixNodeIndices);
}
 
template <> void MnaSolver<Real>::createEmptyVectors() {
  mRightSideVector = Matrix::Zero(mNumMatrixNodeIndices, 1);
  **mLeftSideVector = Matrix::Zero(mNumMatrixNodeIndices, 1);
}
 
template <> void MnaSolver<Complex>::createEmptyVectors() {
  if (mFrequencyParallel) {
    for (Int freq = 0; freq < mSystem.mFrequencies.size(); ++freq) {
      mRightSideVectorHarm.push_back(
          Matrix::Zero(2 * (mNumMatrixNodeIndices), 1));
      mLeftSideVectorHarm.push_back(AttributeStatic<Matrix>::make(
          Matrix::Zero(2 * (mNumMatrixNodeIndices), 1)));
    }
  } else {
    mRightSideVector = Matrix::Zero(
        2 * (mNumMatrixNodeIndices + mNumHarmMatrixNodeIndices), 1);
    **mLeftSideVector = Matrix::Zero(
        2 * (mNumMatrixNodeIndices + mNumHarmMatrixNodeIndices), 1);
  }
}
 
template <typename VarType> void MnaSolver<VarType>::collectVirtualNodes() {
  // We have not added virtual nodes yet so the list has only network nodes
  mNumNetNodes = (UInt)mNodes.size();
  // virtual nodes are placed after network nodes
  UInt virtualNode = mNumNetNodes - 1;
 
  for (auto comp : mMNAComponents) {
    auto pComp = std::dynamic_pointer_cast<SimPowerComp<VarType>>(comp);
    if (!pComp)
      continue;
 
    // Check if component requires virtual node and if so get a reference
    if (pComp->hasVirtualNodes()) {
      for (UInt node = 0; node < pComp->virtualNodesNumber(); ++node) {
        mNodes.push_back(pComp->virtualNode(node));
        SPDLOG_LOGGER_INFO(mSLog, "Collected virtual node {} of {}",
                           virtualNode, node, pComp->name());
      }
    }
 
    // Repeat the same steps for virtual nodes of sub components
    // TODO: recursive behavior
    if (pComp->hasSubComponents()) {
      for (auto pSubComp : pComp->subComponents()) {
        for (UInt node = 0; node < pSubComp->virtualNodesNumber(); ++node) {
          auto vnode = pSubComp->virtualNode(node);
          // Skip if already registered (e.g. parent reused its VN via
          // setVirtualNodeAt).
          bool alreadyRegistered = false;
          for (auto registeredNode : mNodes) {
            if (registeredNode == vnode) {
              alreadyRegistered = true;
              break;
            }
          }
          if (alreadyRegistered)
            continue;
          mNodes.push_back(vnode);
          SPDLOG_LOGGER_INFO(mSLog, "Collected virtual node {} of {}", node,
                             pSubComp->name());
        }
      }
    }
  }
 
  // collect virtual nodes of variable components
  for (auto comp : mVariableComps) {
    auto pComp = std::dynamic_pointer_cast<SimPowerComp<VarType>>(comp);
    if (!pComp)
      continue;
 
    // Check if component requires virtual node and if so get a reference
    if (pComp->hasVirtualNodes()) {
      for (UInt node = 0; node < pComp->virtualNodesNumber(); ++node) {
        mNodes.push_back(pComp->virtualNode(node));
        SPDLOG_LOGGER_INFO(mSLog,
                           "Collected virtual node {} of Varible Comp {}", node,
                           pComp->name());
      }
    }
  }
 
  // Update node number to create matrices and vectors
  mNumNodes = (UInt)mNodes.size();
  mNumVirtualNodes = mNumNodes - mNumNetNodes;
  SPDLOG_LOGGER_INFO(mSLog, "Created virtual nodes:");
  SPDLOG_LOGGER_INFO(mSLog, "Number of network nodes: {:d}", mNumNetNodes);
  SPDLOG_LOGGER_INFO(mSLog, "Number of network and virtual nodes: {:d}",
                     mNumNodes);
}
 
template <typename VarType>
void MnaSolver<VarType>::steadyStateInitialization() {
  SPDLOG_LOGGER_INFO(mSLog, "--- Run steady-state initialization ---");
 
  DataLogger initLeftVectorLog(mName + "_InitLeftVector",
                               mLogLevel != CPS::Logger::Level::off);
  initLeftVectorLog.start();
  DataLogger initRightVectorLog(mName + "_InitRightVector",
                                mLogLevel != CPS::Logger::Level::off);
  initRightVectorLog.start();
 
  TopologicalPowerComp::Behaviour initBehaviourPowerComps =
      TopologicalPowerComp::Behaviour::Initialization;
  SimSignalComp::Behaviour initBehaviourSignalComps =
      SimSignalComp::Behaviour::Initialization;
 
  // TODO: enable use of timestep distinct from simulation timestep
  Real initTimeStep = mTimeStep;
 
  Int timeStepCount = 0;
  Real time = 0;
  Real maxDiff = 1.0;
  Real max = 1.0;
  Matrix diff = Matrix::Zero(2 * mNumNodes, 1);
  Matrix prevLeftSideVector = Matrix::Zero(2 * mNumNodes, 1);
 
  SPDLOG_LOGGER_INFO(mSLog,
                     "Time step is {:f}s for steady-state initialization",
                     initTimeStep);
 
  for (auto comp : mSystem.mComponents) {
    auto powerComp = std::dynamic_pointer_cast<CPS::TopologicalPowerComp>(comp);
    if (powerComp)
      powerComp->setBehaviour(initBehaviourPowerComps);
 
    auto sigComp = std::dynamic_pointer_cast<CPS::SimSignalComp>(comp);
    if (sigComp)
      sigComp->setBehaviour(initBehaviourSignalComps);
  }
 
  initializeSystem();
  logSystemMatrices();
 
  // Use sequential scheduler
  SequentialScheduler sched;
  CPS::Task::List tasks;
  Scheduler::Edges inEdges, outEdges;
 
  for (auto node : mNodes) {
    for (auto task : node->mnaTasks())
      tasks.push_back(task);
  }
  for (auto comp : mMNAComponents) {
    for (auto task : comp->mnaTasks()) {
      tasks.push_back(task);
    }
  }
  // TODO signal components should be moved out of MNA solver
  for (auto comp : mSimSignalComps) {
    for (auto task : comp->getTasks()) {
      tasks.push_back(task);
    }
  }
  tasks.push_back(createSolveTask());
 
  sched.resolveDeps(tasks, inEdges, outEdges);
  sched.createSchedule(tasks, inEdges, outEdges);
 
  while (time < mSteadStIniTimeLimit) {
    // Reset source vector
    mRightSideVector.setZero();
 
    sched.step(time, timeStepCount);
 
    if (mDomain == CPS::Domain::EMT) {
      initLeftVectorLog.logEMTNodeValues(time, leftSideVector());
      initRightVectorLog.logEMTNodeValues(time, rightSideVector());
    } else {
      initLeftVectorLog.logPhasorNodeValues(time, leftSideVector());
      initRightVectorLog.logPhasorNodeValues(time, rightSideVector());
    }
 
    // Calculate new simulation time
    time = time + initTimeStep;
    ++timeStepCount;
 
    // Calculate difference
    diff = prevLeftSideVector - **mLeftSideVector;
    prevLeftSideVector = **mLeftSideVector;
    maxDiff = diff.lpNorm<Eigen::Infinity>();
    max = (**mLeftSideVector).lpNorm<Eigen::Infinity>();
    // If difference is smaller than some epsilon, break
    if ((maxDiff / max) < mSteadStIniAccLimit)
      break;
  }
 
  SPDLOG_LOGGER_INFO(mSLog, "Max difference: {:f} or {:f}% at time {:f}",
                     maxDiff, maxDiff / max, time);
 
  // Reset system for actual simulation
  mRightSideVector.setZero();
 
  SPDLOG_LOGGER_INFO(mSLog, "--- Finished steady-state initialization ---");
}
 
template <typename VarType> Task::List MnaSolver<VarType>::getTasks() {
  Task::List l;
 
  for (auto comp : mMNAComponents) {
    for (auto task : comp->mnaTasks()) {
      l.push_back(task);
    }
  }
  for (auto comp : mMNAIntfSwitches) {
    for (auto task : comp->mnaTasks()) {
      l.push_back(task);
    }
  }
  for (auto node : mNodes) {
    for (auto task : node->mnaTasks())
      l.push_back(task);
  }
  // TODO signal components should be moved out of MNA solver
  for (auto comp : mSimSignalComps) {
    for (auto task : comp->getTasks()) {
      l.push_back(task);
    }
  }
  if (mFrequencyParallel) {
    for (UInt i = 0; i < mSystem.mFrequencies.size(); ++i)
      l.push_back(createSolveTaskHarm(i));
  } else if (mSystemMatrixRecomputation) {
    for (auto comp : this->mMNAIntfVariableComps) {
      for (auto task : comp->mnaTasks())
        l.push_back(task);
    }
    l.push_back(createSolveTaskRecomp());
    if (mStateSpaceExtraction) {
      l.push_back(createStateSpaceExtractionTask());
    }
  } else {
    l.push_back(createSolveTask());
    if (mStateSpaceExtraction) {
      l.push_back(createStateSpaceExtractionTask());
    }
    l.push_back(createLogTask());
  }
  return l;
}
 
template <typename VarType>
void MnaSolver<VarType>::log(Real time, Int timeStepCount) {
  if (mLogLevel == Logger::Level::off)
    return;
 
  if (mDomain == CPS::Domain::EMT) {
    mLeftVectorLog->logEMTNodeValues(time, leftSideVector());
    mRightVectorLog->logEMTNodeValues(time, rightSideVector());
  } else {
    mLeftVectorLog->logPhasorNodeValues(time, leftSideVector());
    mRightVectorLog->logPhasorNodeValues(time, rightSideVector());
  }
}
 
} // namespace DPsim
 
template class DPsim::MnaSolver<Real>;
template class DPsim::MnaSolver<Complex>;